Details

analyze923.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

525×	`distribute-rgt-in_binary64_7871`
489×	`distribute-lft-in_binary64_7870`
258×	`sub-neg_binary64_7914`
130×	`neg-sub0_binary64_7916`
116×	`neg-mul-1_binary64_7917`
102×	`associate-l/_binary64_7864` `associate-r/_binary64_7863` `*-commutative_binary64_7852`
96×	`distribute-neg-frac_binary64_7885`
72×	`distribute-rgt-neg-out_binary64_7881` `distribute-lft-neg-out_binary64_7880`
68×	`+-commutative_binary64_7851`
66×	`distribute-neg-in_binary64_7882`
63×	`sqr-pow_binary64_7893` `associate-l_binary64_7862` `associate-r_binary64_7861`
60×	`cancel-sign-sub-inv_binary64_7887`
54×	`exp-prod_binary64_7973` `div-sub_binary64_7926`
48×	`unsub-neg_binary64_7915`
45×	`distribute-lft-neg-in_binary64_7878`
39×	`distribute-rgt-neg-in_binary64_7879` `associate--r-_binary64_7860`
28×	`associate-+l-_binary64_7856` `associate-+r-_binary64_7855`
25×	`sub0-neg_binary64_7908`
21×	`associate--l-_binary64_7859`
18×	`pow-sqr_binary64_7894` `difference-of-sqr--1_binary64_7892` `associate-/l*_binary64_7866`
14×	`associate-+l+_binary64_7854` `associate-+r+_binary64_7853`
12×	`remove-double-neg_binary64_7909`
9×	`tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108` `exp-lft-sqr_binary64_7976` `prod-exp_binary64_7970` `exp-neg_binary64_7968` `exp-sum_binary64_7967` `associate-/l/_binary64_7868`
6×	`+-rgt-identity_binary64_7906`
1×	`1-exp_binary64_7965`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_8184` `erf-erfc_binary64_8183` `erf-odd_binary64_8182` `if-if-and-not_binary64_8181` `if-if-and_binary64_8180` `if-if-or-not_binary64_8179` `if-if-or_binary64_8178` `if-not_binary64_8177` `if-same_binary64_8176` `if-false_binary64_8175` `if-true_binary64_8174` `not-gte_binary64_8173` `not-lte_binary64_8172` `not-gt_binary64_8171` `not-lt_binary64_8170` `gte-same_binary64_8169` `lte-same_binary64_8168` `gt-same_binary64_8167` `lt-same_binary64_8166` `sinh---cosh_binary64_8113` `sinh-+-cosh_binary64_8112` `sinh-cosh_binary64_8111` `cosh-def_binary64_8107` `sinh-def_binary64_8106` `tan-neg_binary64_8053` `cos-neg_binary64_8052` `sin-neg_binary64_8051` `tan-0_binary64_8050` `cos-0_binary64_8049` `sin-0_binary64_8048` `hang-m-tan_binary64_8047` `hang-p-tan_binary64_8046` `hang-m0-tan_binary64_8045` `hang-p0-tan_binary64_8044` `hang-0m-tan_binary64_8043` `hang-0p-tan_binary64_8042` `tan-+PI/2_binary64_8041` `tan-+PI_binary64_8040` `tan-PI_binary64_8039` `tan-PI/3_binary64_8038` `tan-PI/4_binary64_8037` `tan-PI/6_binary64_8036` `cos-+PI/2_binary64_8035` `cos-+PI_binary64_8034` `cos-PI_binary64_8033` `cos-PI/2_binary64_8032` `cos-PI/3_binary64_8031` `cos-PI/4_binary64_8030` `cos-PI/6_binary64_8029` `sin-+PI/2_binary64_8028` `sin-+PI_binary64_8027` `sin-PI_binary64_8026` `sin-PI/2_binary64_8025` `sin-PI/3_binary64_8024` `sin-PI/4_binary64_8023` `sin-PI/6_binary64_8022` `sub-1-sin_binary64_8021` `sub-1-cos_binary64_8020` `-1-add-sin_binary64_8019` `-1-add-cos_binary64_8018` `1-sub-sin_binary64_8017` `1-sub-cos_binary64_8016` `cos-sin-sum_binary64_8015` `log-E_binary64_8011` `log-pow_binary64_8010` `log-rec_binary64_8009` `log-div_binary64_8008` `log-prod_binary64_8007` `pow-base-0_binary64_8005` `unpow1/3_binary64_7988` `unpow3_binary64_7987` `unpow2_binary64_7986` `unpow1/2_binary64_7985` `pow-plus_binary64_7984` `exp-to-pow_binary64_7983` `pow-base-1_binary64_7981` `unpow0_binary64_7980` `unpow1_binary64_7979` `unpow-1_binary64_7978` `exp-lft-cube_binary64_7977` `exp-cbrt_binary64_7975` `exp-sqrt_binary64_7974` `div-exp_binary64_7972` `rec-exp_binary64_7971` `exp-diff_binary64_7969` `e-exp-1_binary64_7966` `exp-1-e_binary64_7964` `exp-0_binary64_7963` `rem-log-exp_binary64_7962` `rem-exp-log_binary64_7961` `cube-unmult_binary64_7958` `cube-mult_binary64_7951` `cube-div_binary64_7950` `cube-prod_binary64_7949` `cube-neg_binary64_7948` `rem-3cbrt-rft_binary64_7947` `rem-3cbrt-lft_binary64_7946` `rem-cbrt-cube_binary64_7945` `rem-cube-cbrt_binary64_7944` `sqr-abs_binary64_7936` `sqr-neg_binary64_7935` `rem-sqrt-square_binary64_7934` `rem-square-sqrt_binary64_7933` `times-frac_binary64_7927` `mul-1-neg_binary64_7913` `/-rgt-identity_binary64_7912` `-rgt-identity_binary64_7911` `-lft-identity_binary64_7910` `--rgt-identity_binary64_7907` `+-lft-identity_binary64_7905` `mul0-rgt_binary64_7904` `mul0-lft_binary64_7903` `div0_binary64_7902` `-inverses_binary64_7901` `+-inverses_binary64_7900` `lft-mult-inverse_binary64_7899` `rgt-mult-inverse_binary64_7898` `remove-double-div_binary64_7897` `difference-of-sqr-1_binary64_7891` `difference-of-squares_binary64_7890` `unswap-sqr_binary64_7889` `swap-sqr_binary64_7888` `cancel-sign-sub_binary64_7886` `distribute-frac-neg_binary64_7884` `distribute-neg-out_binary64_7883` `distribute-rgt1-in_binary64_7877` `distribute-lft1-in_binary64_7876` `distribute-rgt-out--_binary64_7875` `distribute-rgt-out_binary64_7874` `distribute-lft-out--_binary64_7873` `distribute-lft-out_binary64_7872` `count-2_binary64_7869` `associate-/r/_binary64_7867` `associate-/r_binary64_7865` `associate--l+_binary64_7858` `associate--r+_binary64_7857`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	161
1	242	161
2	684	161
3	1838	161
4	5154	161
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
7.8%	92%	0.2%	9
10.9%	88.9%	0.2%	10
34.7%	65.1%	0.2%	11
43.1%	56.7%	0.2%	12
44.2%	55.7%	0.2%	13
49.5%	50.3%	0.2%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample27.0ms (0.1%)

Algorithm

1×

intervals

Results

12.0ms	247×	body	128	valid
1.0ms	27×	body	128	invalid
1.0ms	3×	body	1024	valid
0.0ms	3×	body	512	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

441×	`div-sub_binary64_7926`
396×	`distribute-rgt-in_binary64_7871`
366×	`distribute-lft-in_binary64_7870`
260×	`associate-l_binary64_7862`
256×	`associate-r_binary64_7861`
222×	`associate-+r+_binary64_7853`
176×	`associate-*l/_binary64_7864` `associate-+l+_binary64_7854`
173×	`associate-*r/_binary64_7863`
163×	`associate-/l*_binary64_7866`
138×	`sub-neg_binary64_7914`
133×	`associate--r+_binary64_7857`
114×	`times-frac_binary64_7927`
84×	`associate--l+_binary64_7858`
79×	`associate-+r-_binary64_7855`
75×	`distribute-lft-neg-out_binary64_7880`
69×	`distribute-rgt-neg-out_binary64_7881`
64×	`distribute-neg-in_binary64_7882`
62×	`associate--r-_binary64_7860`
56×	`neg-sub0_binary64_7916`
53×	`cancel-sign-sub-inv_binary64_7887` `*-commutative_binary64_7852`
51×	`neg-mul-1_binary64_7917` `associate-+l-_binary64_7856`
40×	`+-commutative_binary64_7851`
36×	`associate--l-_binary64_7859`
32×	`associate-/r*_binary64_7865`
31×	`distribute-neg-frac_binary64_7885` `distribute-rgt-neg-in_binary64_7879`
28×	`sqr-pow_binary64_7893`
27×	`unsub-neg_binary64_7915` `associate-/r/_binary64_7867`
25×	`distribute-lft-neg-in_binary64_7878`
18×	`exp-prod_binary64_7973`
12×	`pow-sqr_binary64_7894`
11×	`sub0-neg_binary64_7908`
8×	`prod-exp_binary64_7970` `associate-/l/_binary64_7868`
6×	`unpow3_binary64_7987` `rec-exp_binary64_7971` `exp-diff_binary64_7969` `cube-unmult_binary64_7958` `cube-prod_binary64_7949` `remove-double-neg_binary64_7909` `+-rgt-identity_binary64_7906` `difference-of-sqr--1_binary64_7892` `distribute-frac-neg_binary64_7884`
4×	`exp-sum_binary64_7967` `div0_binary64_7902` `difference-of-sqr-1_binary64_7891`
3×	`div-exp_binary64_7972` `*-lft-identity_binary64_7910` `--rgt-identity_binary64_7907` `mul0-rgt_binary64_7904` `mul0-lft_binary64_7903` `distribute-neg-out_binary64_7883`
2×	`tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108` `unpow1/2_binary64_7985` `pow-plus_binary64_7984` `unpow1_binary64_7979` `exp-lft-sqr_binary64_7976` `exp-neg_binary64_7968` `rem-sqrt-square_binary64_7934` `*-rgt-identity_binary64_7911` `count-2_binary64_7869`
1×	`1-exp_binary64_7965` `sqr-neg_binary64_7935` `mul-1-neg_binary64_7913` `swap-sqr_binary64_7888`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_8184` `erf-erfc_binary64_8183` `erf-odd_binary64_8182` `if-if-and-not_binary64_8181` `if-if-and_binary64_8180` `if-if-or-not_binary64_8179` `if-if-or_binary64_8178` `if-not_binary64_8177` `if-same_binary64_8176` `if-false_binary64_8175` `if-true_binary64_8174` `not-gte_binary64_8173` `not-lte_binary64_8172` `not-gt_binary64_8171` `not-lt_binary64_8170` `gte-same_binary64_8169` `lte-same_binary64_8168` `gt-same_binary64_8167` `lt-same_binary64_8166` `sinh---cosh_binary64_8113` `sinh-+-cosh_binary64_8112` `sinh-cosh_binary64_8111` `cosh-def_binary64_8107` `sinh-def_binary64_8106` `tan-neg_binary64_8053` `cos-neg_binary64_8052` `sin-neg_binary64_8051` `tan-0_binary64_8050` `cos-0_binary64_8049` `sin-0_binary64_8048` `hang-m-tan_binary64_8047` `hang-p-tan_binary64_8046` `hang-m0-tan_binary64_8045` `hang-p0-tan_binary64_8044` `hang-0m-tan_binary64_8043` `hang-0p-tan_binary64_8042` `tan-+PI/2_binary64_8041` `tan-+PI_binary64_8040` `tan-PI_binary64_8039` `tan-PI/3_binary64_8038` `tan-PI/4_binary64_8037` `tan-PI/6_binary64_8036` `cos-+PI/2_binary64_8035` `cos-+PI_binary64_8034` `cos-PI_binary64_8033` `cos-PI/2_binary64_8032` `cos-PI/3_binary64_8031` `cos-PI/4_binary64_8030` `cos-PI/6_binary64_8029` `sin-+PI/2_binary64_8028` `sin-+PI_binary64_8027` `sin-PI_binary64_8026` `sin-PI/2_binary64_8025` `sin-PI/3_binary64_8024` `sin-PI/4_binary64_8023` `sin-PI/6_binary64_8022` `sub-1-sin_binary64_8021` `sub-1-cos_binary64_8020` `-1-add-sin_binary64_8019` `-1-add-cos_binary64_8018` `1-sub-sin_binary64_8017` `1-sub-cos_binary64_8016` `cos-sin-sum_binary64_8015` `log-E_binary64_8011` `log-pow_binary64_8010` `log-rec_binary64_8009` `log-div_binary64_8008` `log-prod_binary64_8007` `pow-base-0_binary64_8005` `unpow1/3_binary64_7988` `unpow2_binary64_7986` `exp-to-pow_binary64_7983` `pow-base-1_binary64_7981` `unpow0_binary64_7980` `unpow-1_binary64_7978` `exp-lft-cube_binary64_7977` `exp-cbrt_binary64_7975` `exp-sqrt_binary64_7974` `e-exp-1_binary64_7966` `exp-1-e_binary64_7964` `exp-0_binary64_7963` `rem-log-exp_binary64_7962` `rem-exp-log_binary64_7961` `cube-mult_binary64_7951` `cube-div_binary64_7950` `cube-neg_binary64_7948` `rem-3cbrt-rft_binary64_7947` `rem-3cbrt-lft_binary64_7946` `rem-cbrt-cube_binary64_7945` `rem-cube-cbrt_binary64_7944` `sqr-abs_binary64_7936` `rem-square-sqrt_binary64_7933` `/-rgt-identity_binary64_7912` `+-lft-identity_binary64_7905` `*-inverses_binary64_7901` `+-inverses_binary64_7900` `lft-mult-inverse_binary64_7899` `rgt-mult-inverse_binary64_7898` `remove-double-div_binary64_7897` `difference-of-squares_binary64_7890` `unswap-sqr_binary64_7889` `cancel-sign-sub_binary64_7886` `distribute-rgt1-in_binary64_7877` `distribute-lft1-in_binary64_7876` `distribute-rgt-out--_binary64_7875` `distribute-rgt-out_binary64_7874` `distribute-lft-out--_binary64_7873` `distribute-lft-out_binary64_7872`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	55	23
2	148	23
3	349	23
4	1247	23
5	4605	23
6	4879	23
7	5155	23

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

4.9b

Counts

1 → 1

Compiler

Compiled 15 to 12 computations (20% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.0b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
5.3b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite171.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

18×	`frac-sub_binary64_7930`
15×	`cancel-sign-sub-inv_binary64_7887`
14×	`add-sqr-sqrt_binary64_7943` `*-un-lft-identity_binary64_7921`
13×	`tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108`
11×	`associate-*r/_binary64_7863`
10×	`add-cube-cbrt_binary64_7956`
9×	`pow1_binary64_7982` `add-exp-log_binary64_7959` `add-cbrt-cube_binary64_7957`
8×	`add-log-exp_binary64_7960` `distribute-rgt-in_binary64_7871` `distribute-lft-in_binary64_7870` `associate-+r+_binary64_7853`
5×	`sub-neg_binary64_7914` `associate-r_binary64_7861`
3×	`pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954`
2×	`flip3--_binary64_7925` `flip--_binary64_7896` `difference-of-squares_binary64_7890` `distribute-lft-out--_binary64_7873`
1×	`associate-l_binary64_7862` `*-commutative_binary64_7852` `diff-log_binary64_8013` `sum-log_binary64_8012` `flip3-+_binary64_7924` `flip-+_binary64_7895` `+-commutative_binary64_7851`

Counts

4 → 93

Calls

4 calls:

14.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
12.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
5.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 3113 to 825 computations (73.5% saved)

series3.8s (15%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

1.5s	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.4s	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
663.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
207.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 6519 to 4389 computations (32.7% saved)

simplify222.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

317×	`times-frac_binary64_7927`
239×	`associate-l_binary64_7862`
229×	`distribute-rgt-in_binary64_7871`
224×	`distribute-lft-in_binary64_7870`
210×	`associate-r_binary64_7861`
207×	`sub-neg_binary64_7914`
205×	`*-commutative_binary64_7852`
189×	`cancel-sign-sub-inv_binary64_7887`
139×	`exp-prod_binary64_7973`
132×	`distribute-lft-neg-out_binary64_7880`
111×	`+-commutative_binary64_7851`
109×	`distribute-rgt-neg-out_binary64_7881`
104×	`distribute-neg-in_binary64_7882`
92×	`associate--l+_binary64_7858`
80×	`neg-sub0_binary64_7916`
73×	`neg-mul-1_binary64_7917`
62×	`sqr-pow_binary64_7893` `distribute-neg-frac_binary64_7885`
53×	`unswap-sqr_binary64_7889`
52×	`associate-*r/_binary64_7863`
51×	`associate-*l/_binary64_7864`
50×	`-rgt-identity_binary64_7911` `-lft-identity_binary64_7910`
49×	`log-prod_binary64_8007` `unsub-neg_binary64_7915`
47×	`distribute-rgt-neg-in_binary64_7879`
45×	`associate-/l*_binary64_7866`
44×	`associate-+l+_binary64_7854`
41×	`associate--r+_binary64_7857`
36×	`cube-prod_binary64_7949`
35×	`prod-exp_binary64_7970`
29×	`distribute-lft-neg-in_binary64_7878`
26×	`unpow3_binary64_7987`
22×	`associate-/r*_binary64_7865`
20×	`div-sub_binary64_7926`
19×	`cube-mult_binary64_7951`
16×	`mul-1-neg_binary64_7913` `swap-sqr_binary64_7888`
14×	`associate-+r+_binary64_7853`
11×	`exp-diff_binary64_7969` `associate-/r/_binary64_7867`
10×	`log-div_binary64_8008` `exp-sum_binary64_7967`
6×	`div-exp_binary64_7972` `cube-div_binary64_7950`
5×	`pow-sqr_binary64_7894`
4×	`difference-of-sqr--1_binary64_7892` `difference-of-squares_binary64_7890` `associate-+r-_binary64_7855`
3×	`log-pow_binary64_8010` `log-rec_binary64_8009` `unpow1_binary64_7979` `cube-unmult_binary64_7958` `distribute-rgt-out--_binary64_7875` `associate-+l-_binary64_7856`
2×	`tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108` `unpow1/2_binary64_7985` `exp-lft-sqr_binary64_7976` `exp-neg_binary64_7968` `/-rgt-identity_binary64_7912` `+-rgt-identity_binary64_7906`
1×	`unpow2_binary64_7986` `pow-plus_binary64_7984` `1-exp_binary64_7965` `exp-1-e_binary64_7964` `rem-3cbrt-lft_binary64_7946` `rem-sqrt-square_binary64_7934` `rem-square-sqrt_binary64_7933` `distribute-neg-out_binary64_7883` `distribute-rgt-out_binary64_7874` `associate--l-_binary64_7859`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_8184` `erf-erfc_binary64_8183` `erf-odd_binary64_8182` `if-if-and-not_binary64_8181` `if-if-and_binary64_8180` `if-if-or-not_binary64_8179` `if-if-or_binary64_8178` `if-not_binary64_8177` `if-same_binary64_8176` `if-false_binary64_8175` `if-true_binary64_8174` `not-gte_binary64_8173` `not-lte_binary64_8172` `not-gt_binary64_8171` `not-lt_binary64_8170` `gte-same_binary64_8169` `lte-same_binary64_8168` `gt-same_binary64_8167` `lt-same_binary64_8166` `sinh---cosh_binary64_8113` `sinh-+-cosh_binary64_8112` `sinh-cosh_binary64_8111` `cosh-def_binary64_8107` `sinh-def_binary64_8106` `tan-neg_binary64_8053` `cos-neg_binary64_8052` `sin-neg_binary64_8051` `tan-0_binary64_8050` `cos-0_binary64_8049` `sin-0_binary64_8048` `hang-m-tan_binary64_8047` `hang-p-tan_binary64_8046` `hang-m0-tan_binary64_8045` `hang-p0-tan_binary64_8044` `hang-0m-tan_binary64_8043` `hang-0p-tan_binary64_8042` `tan-+PI/2_binary64_8041` `tan-+PI_binary64_8040` `tan-PI_binary64_8039` `tan-PI/3_binary64_8038` `tan-PI/4_binary64_8037` `tan-PI/6_binary64_8036` `cos-+PI/2_binary64_8035` `cos-+PI_binary64_8034` `cos-PI_binary64_8033` `cos-PI/2_binary64_8032` `cos-PI/3_binary64_8031` `cos-PI/4_binary64_8030` `cos-PI/6_binary64_8029` `sin-+PI/2_binary64_8028` `sin-+PI_binary64_8027` `sin-PI_binary64_8026` `sin-PI/2_binary64_8025` `sin-PI/3_binary64_8024` `sin-PI/4_binary64_8023` `sin-PI/6_binary64_8022` `sub-1-sin_binary64_8021` `sub-1-cos_binary64_8020` `-1-add-sin_binary64_8019` `-1-add-cos_binary64_8018` `1-sub-sin_binary64_8017` `1-sub-cos_binary64_8016` `cos-sin-sum_binary64_8015` `log-E_binary64_8011` `pow-base-0_binary64_8005` `unpow1/3_binary64_7988` `exp-to-pow_binary64_7983` `pow-base-1_binary64_7981` `unpow0_binary64_7980` `unpow-1_binary64_7978` `exp-lft-cube_binary64_7977` `exp-cbrt_binary64_7975` `exp-sqrt_binary64_7974` `rec-exp_binary64_7971` `e-exp-1_binary64_7966` `exp-0_binary64_7963` `rem-log-exp_binary64_7962` `rem-exp-log_binary64_7961` `cube-neg_binary64_7948` `rem-3cbrt-rft_binary64_7947` `rem-cbrt-cube_binary64_7945` `rem-cube-cbrt_binary64_7944` `sqr-abs_binary64_7936` `sqr-neg_binary64_7935` `remove-double-neg_binary64_7909` `sub0-neg_binary64_7908` `--rgt-identity_binary64_7907` `+-lft-identity_binary64_7905` `mul0-rgt_binary64_7904` `mul0-lft_binary64_7903` `div0_binary64_7902` `*-inverses_binary64_7901` `+-inverses_binary64_7900` `lft-mult-inverse_binary64_7899` `rgt-mult-inverse_binary64_7898` `remove-double-div_binary64_7897` `difference-of-sqr-1_binary64_7891` `cancel-sign-sub_binary64_7886` `distribute-frac-neg_binary64_7884` `distribute-rgt1-in_binary64_7877` `distribute-lft1-in_binary64_7876` `distribute-lft-out--_binary64_7873` `distribute-lft-out_binary64_7872` `count-2_binary64_7869` `associate-/l/_binary64_7868` `associate--r-_binary64_7860`

Counts

150 → 112

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	299	6099
1	900	5609
2	3211	5609
3	4841	5609
4	4996	5609
5	4971	5609

prune169.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	3	113

Error

0.3b

Counts

113 → 3

Compiler

Compiled 4062 to 1602 computations (60.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.1b	(pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)
5.3b	(.f64 (.f64 y z) (cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)))
6.4b	(cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3))

rewrite313.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`frac-sub_binary64_7930`
33×	`cube-div_binary64_7950`
32×	`cbrt-prod_binary64_7952`
29×	`add-sqr-sqrt_binary64_7943` `*-un-lft-identity_binary64_7921`
24×	`tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108`
22×	`cbrt-div_binary64_7953`
19×	`associate-r_binary64_7861`
15×	`add-cube-cbrt_binary64_7956` `unpow-prod-down_binary64_8000` `cube-prod_binary64_7949`
11×	`associate-*r/_binary64_7863`
10×	`pow1_binary64_7982` `add-exp-log_binary64_7959`
8×	`add-cbrt-cube_binary64_7957`
7×	`difference-of-squares_binary64_7890` `distribute-lft-out--_binary64_7873`
6×	`add-log-exp_binary64_7960`
4×	`flip3--_binary64_7925` `flip--_binary64_7896`
3×	`unpow3_binary64_7987` `cube-mult_binary64_7951` `sqr-pow_binary64_7893` `pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `pow-unpow_binary64_7998` `cancel-sign-sub-inv_binary64_7887`
1×	`pow1/3_binary64_8003` `rem-cbrt-cube_binary64_7945` `associate-l_binary64_7862` `*-commutative_binary64_7852` `pow-pow_binary64_7993` `pow-to-exp_binary64_7990` `pow-exp_binary64_7989` `rem-cube-cbrt_binary64_7944` `diff-log_binary64_8013` `sub-neg_binary64_7914`

Counts

4 → 144

Calls

4 calls:

20.0ms	(.f64 (.f64 y z) (cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)))
13.0ms	(cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3))
10.0ms	(pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)
8.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))

Compiler

Compiled 5745 to 2115 computations (63.2% saved)

series4.2s (16.6%)

Error

0.3b

Counts

4 → 52

Calls

4 calls:

1.4s	(pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)
1.4s	(.f64 (.f64 y z) (cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)))
672.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
648.0ms	(cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3))

Compiler

Compiled 8200 to 5829 computations (28.9% saved)

simplify221.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

301×	`distribute-rgt-in_binary64_7871` `distribute-lft-in_binary64_7870` `associate-r_binary64_7861`
300×	`associate-l_binary64_7862`
151×	`times-frac_binary64_7927`
132×	`associate-/r*_binary64_7865`
122×	`associate-/l*_binary64_7866`
117×	`*-commutative_binary64_7852`
110×	`sqr-pow_binary64_7893`
86×	`log-prod_binary64_8007`
80×	`associate-l/_binary64_7864` `associate-r/_binary64_7863`
78×	`associate--l+_binary64_7858`
75×	`sub-neg_binary64_7914`
54×	`+-commutative_binary64_7851`
45×	`unpow3_binary64_7987` `cube-mult_binary64_7951`
41×	`neg-sub0_binary64_7916`
40×	`neg-mul-1_binary64_7917`
32×	`cancel-sign-sub-inv_binary64_7887`
28×	`rem-cbrt-cube_binary64_7945` `swap-sqr_binary64_7888` `distribute-neg-in_binary64_7882`
26×	`distribute-rgt-neg-in_binary64_7879`
25×	`exp-prod_binary64_7973`
22×	`cube-prod_binary64_7949` `associate-+r+_binary64_7853`
19×	`unswap-sqr_binary64_7889`
16×	`associate-/r/_binary64_7867`
14×	`distribute-lft-neg-in_binary64_7878`
12×	`distribute-lft-neg-out_binary64_7880`
11×	`distribute-neg-frac_binary64_7885` `associate--r+_binary64_7857`
10×	`log-pow_binary64_8010` `distribute-rgt-out_binary64_7874`
8×	`div-sub_binary64_7926` `*-rgt-identity_binary64_7911`
7×	`unpow1_binary64_7979` `pow-sqr_binary64_7894`
6×	`unpow2_binary64_7986` `cube-div_binary64_7950` `*-lft-identity_binary64_7910`
5×	`mul-1-neg_binary64_7913`
4×	`cube-unmult_binary64_7958`
3×	`rem-sqrt-square_binary64_7934` `difference-of-squares_binary64_7890`
2×	`tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108` `exp-lft-sqr_binary64_7976` `prod-exp_binary64_7970` `exp-neg_binary64_7968` `rem-3cbrt-lft_binary64_7946` `rem-square-sqrt_binary64_7933`
1×	`unpow1/2_binary64_7985` `pow-plus_binary64_7984` `div-exp_binary64_7972` `exp-sum_binary64_7967` `1-exp_binary64_7965` `rem-cube-cbrt_binary64_7944` `unsub-neg_binary64_7915` `distribute-rgt-neg-out_binary64_7881` `distribute-lft-out_binary64_7872` `associate-+l+_binary64_7854`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_8184` `erf-erfc_binary64_8183` `erf-odd_binary64_8182` `if-if-and-not_binary64_8181` `if-if-and_binary64_8180` `if-if-or-not_binary64_8179` `if-if-or_binary64_8178` `if-not_binary64_8177` `if-same_binary64_8176` `if-false_binary64_8175` `if-true_binary64_8174` `not-gte_binary64_8173` `not-lte_binary64_8172` `not-gt_binary64_8171` `not-lt_binary64_8170` `gte-same_binary64_8169` `lte-same_binary64_8168` `gt-same_binary64_8167` `lt-same_binary64_8166` `sinh---cosh_binary64_8113` `sinh-+-cosh_binary64_8112` `sinh-cosh_binary64_8111` `cosh-def_binary64_8107` `sinh-def_binary64_8106` `tan-neg_binary64_8053` `cos-neg_binary64_8052` `sin-neg_binary64_8051` `tan-0_binary64_8050` `cos-0_binary64_8049` `sin-0_binary64_8048` `hang-m-tan_binary64_8047` `hang-p-tan_binary64_8046` `hang-m0-tan_binary64_8045` `hang-p0-tan_binary64_8044` `hang-0m-tan_binary64_8043` `hang-0p-tan_binary64_8042` `tan-+PI/2_binary64_8041` `tan-+PI_binary64_8040` `tan-PI_binary64_8039` `tan-PI/3_binary64_8038` `tan-PI/4_binary64_8037` `tan-PI/6_binary64_8036` `cos-+PI/2_binary64_8035` `cos-+PI_binary64_8034` `cos-PI_binary64_8033` `cos-PI/2_binary64_8032` `cos-PI/3_binary64_8031` `cos-PI/4_binary64_8030` `cos-PI/6_binary64_8029` `sin-+PI/2_binary64_8028` `sin-+PI_binary64_8027` `sin-PI_binary64_8026` `sin-PI/2_binary64_8025` `sin-PI/3_binary64_8024` `sin-PI/4_binary64_8023` `sin-PI/6_binary64_8022` `sub-1-sin_binary64_8021` `sub-1-cos_binary64_8020` `-1-add-sin_binary64_8019` `-1-add-cos_binary64_8018` `1-sub-sin_binary64_8017` `1-sub-cos_binary64_8016` `cos-sin-sum_binary64_8015` `log-E_binary64_8011` `log-rec_binary64_8009` `log-div_binary64_8008` `pow-base-0_binary64_8005` `unpow1/3_binary64_7988` `exp-to-pow_binary64_7983` `pow-base-1_binary64_7981` `unpow0_binary64_7980` `unpow-1_binary64_7978` `exp-lft-cube_binary64_7977` `exp-cbrt_binary64_7975` `exp-sqrt_binary64_7974` `rec-exp_binary64_7971` `exp-diff_binary64_7969` `e-exp-1_binary64_7966` `exp-1-e_binary64_7964` `exp-0_binary64_7963` `rem-log-exp_binary64_7962` `rem-exp-log_binary64_7961` `cube-neg_binary64_7948` `rem-3cbrt-rft_binary64_7947` `sqr-abs_binary64_7936` `sqr-neg_binary64_7935` `/-rgt-identity_binary64_7912` `remove-double-neg_binary64_7909` `sub0-neg_binary64_7908` `--rgt-identity_binary64_7907` `+-rgt-identity_binary64_7906` `+-lft-identity_binary64_7905` `mul0-rgt_binary64_7904` `mul0-lft_binary64_7903` `div0_binary64_7902` `*-inverses_binary64_7901` `+-inverses_binary64_7900` `lft-mult-inverse_binary64_7899` `rgt-mult-inverse_binary64_7898` `remove-double-div_binary64_7897` `difference-of-sqr--1_binary64_7892` `difference-of-sqr-1_binary64_7891` `cancel-sign-sub_binary64_7886` `distribute-frac-neg_binary64_7884` `distribute-neg-out_binary64_7883` `distribute-rgt1-in_binary64_7877` `distribute-lft1-in_binary64_7876` `distribute-rgt-out--_binary64_7875` `distribute-lft-out--_binary64_7873` `count-2_binary64_7869` `associate-/l/_binary64_7868` `associate--r-_binary64_7860` `associate--l-_binary64_7859` `associate-+l-_binary64_7856` `associate-+r-_binary64_7855`

Counts

196 → 154

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	415	9801
1	1293	9184
2	4895	9184
3	5001	9184

prune304.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	153	4	157

Error

0.0b

Counts

157 → 4

Compiler

Compiled 6749 to 3091 computations (54.2% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
1.8b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.0b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite241.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`distribute-rgt-in_binary64_7871` `distribute-lft-in_binary64_7870`
33×	`cancel-sign-sub-inv_binary64_7887` `associate-*r/_binary64_7863`
27×	`frac-sub_binary64_7930`
24×	`add-sqr-sqrt_binary64_7943`
22×	`*-un-lft-identity_binary64_7921`
18×	`add-cube-cbrt_binary64_7956` `tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108`
16×	`associate-+r+_binary64_7853`
11×	`pow1_binary64_7982` `add-exp-log_binary64_7959` `add-cbrt-cube_binary64_7957` `sub-neg_binary64_7914`
8×	`add-log-exp_binary64_7960`
6×	`associate-l_binary64_7862` `associate-r_binary64_7861`
4×	`pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954`
3×	`flip3--_binary64_7925` `flip--_binary64_7896`
2×	`*-commutative_binary64_7852` `difference-of-squares_binary64_7890` `distribute-lft-out--_binary64_7873`
1×	`unswap-sqr_binary64_7889` `diff-log_binary64_8013` `sum-log_binary64_8012` `flip3-+_binary64_7924` `flip-+_binary64_7895` `+-commutative_binary64_7851`

Counts

4 → 136

Calls

4 calls:

17.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
13.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
8.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
6.0ms	(+.f64 x (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

Compiler

Compiled 4544 to 1228 computations (73% saved)

series4.8s (18.8%)

Error

Counts

4 → 63

Calls

4 calls:

1.5s	(+.f64 x (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
1.3s	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.2s	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
646.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))

Compiler

Compiled 7971 to 5445 computations (31.7% saved)

simplify233.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

501×	`times-frac_binary64_7927`
268×	`associate-r_binary64_7861`
267×	`associate-l_binary64_7862`
230×	`distribute-rgt-in_binary64_7871`
224×	`distribute-lft-in_binary64_7870`
215×	`sub-neg_binary64_7914`
212×	`*-commutative_binary64_7852`
193×	`cancel-sign-sub-inv_binary64_7887`
181×	`exp-prod_binary64_7973`
124×	`+-commutative_binary64_7851`
97×	`associate--l+_binary64_7858`
84×	`neg-sub0_binary64_7916`
74×	`neg-mul-1_binary64_7917`
68×	`cube-prod_binary64_7949` `associate-/l*_binary64_7866`
67×	`*-rgt-identity_binary64_7911`
62×	`*-lft-identity_binary64_7910`
61×	`sqr-pow_binary64_7893`
57×	`prod-exp_binary64_7970`
56×	`unsub-neg_binary64_7915` `associate-*r/_binary64_7863`
53×	`associate-*l/_binary64_7864`
48×	`unswap-sqr_binary64_7889`
45×	`associate--r+_binary64_7857`
44×	`associate-+l+_binary64_7854`
41×	`distribute-rgt-neg-in_binary64_7879`
30×	`exp-diff_binary64_7969` `associate-/r*_binary64_7865`
27×	`log-prod_binary64_8007`
25×	`distribute-lft-neg-out_binary64_7880`
24×	`unpow3_binary64_7987` `exp-sum_binary64_7967` `distribute-lft-neg-in_binary64_7878`
22×	`distribute-neg-in_binary64_7882`
21×	`div-sub_binary64_7926`
20×	`cube-mult_binary64_7951`
17×	`mul-1-neg_binary64_7913`
16×	`swap-sqr_binary64_7888` `distribute-neg-frac_binary64_7885` `associate-/r/_binary64_7867`
14×	`distribute-rgt-neg-out_binary64_7881`
13×	`associate-+r+_binary64_7853`
10×	`/-rgt-identity_binary64_7912`
8×	`cube-div_binary64_7950`
7×	`cube-unmult_binary64_7958` `pow-sqr_binary64_7894`
6×	`div-exp_binary64_7972`
5×	`difference-of-squares_binary64_7890`
4×	`difference-of-sqr--1_binary64_7892`
3×	`unpow1_binary64_7979` `distribute-rgt-out--_binary64_7875` `distribute-rgt-out_binary64_7874` `associate-+r-_binary64_7855`
2×	`tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108` `log-pow_binary64_8010` `unpow1/2_binary64_7985` `exp-lft-sqr_binary64_7976` `exp-neg_binary64_7968` `rem-sqrt-square_binary64_7934` `+-rgt-identity_binary64_7906`
1×	`log-div_binary64_8008` `unpow2_binary64_7986` `pow-plus_binary64_7984` `1-exp_binary64_7965` `exp-1-e_binary64_7964` `rem-3cbrt-lft_binary64_7946` `rem-square-sqrt_binary64_7933` `associate-+l-_binary64_7856`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_8184` `erf-erfc_binary64_8183` `erf-odd_binary64_8182` `if-if-and-not_binary64_8181` `if-if-and_binary64_8180` `if-if-or-not_binary64_8179` `if-if-or_binary64_8178` `if-not_binary64_8177` `if-same_binary64_8176` `if-false_binary64_8175` `if-true_binary64_8174` `not-gte_binary64_8173` `not-lte_binary64_8172` `not-gt_binary64_8171` `not-lt_binary64_8170` `gte-same_binary64_8169` `lte-same_binary64_8168` `gt-same_binary64_8167` `lt-same_binary64_8166` `sinh---cosh_binary64_8113` `sinh-+-cosh_binary64_8112` `sinh-cosh_binary64_8111` `cosh-def_binary64_8107` `sinh-def_binary64_8106` `tan-neg_binary64_8053` `cos-neg_binary64_8052` `sin-neg_binary64_8051` `tan-0_binary64_8050` `cos-0_binary64_8049` `sin-0_binary64_8048` `hang-m-tan_binary64_8047` `hang-p-tan_binary64_8046` `hang-m0-tan_binary64_8045` `hang-p0-tan_binary64_8044` `hang-0m-tan_binary64_8043` `hang-0p-tan_binary64_8042` `tan-+PI/2_binary64_8041` `tan-+PI_binary64_8040` `tan-PI_binary64_8039` `tan-PI/3_binary64_8038` `tan-PI/4_binary64_8037` `tan-PI/6_binary64_8036` `cos-+PI/2_binary64_8035` `cos-+PI_binary64_8034` `cos-PI_binary64_8033` `cos-PI/2_binary64_8032` `cos-PI/3_binary64_8031` `cos-PI/4_binary64_8030` `cos-PI/6_binary64_8029` `sin-+PI/2_binary64_8028` `sin-+PI_binary64_8027` `sin-PI_binary64_8026` `sin-PI/2_binary64_8025` `sin-PI/3_binary64_8024` `sin-PI/4_binary64_8023` `sin-PI/6_binary64_8022` `sub-1-sin_binary64_8021` `sub-1-cos_binary64_8020` `-1-add-sin_binary64_8019` `-1-add-cos_binary64_8018` `1-sub-sin_binary64_8017` `1-sub-cos_binary64_8016` `cos-sin-sum_binary64_8015` `log-E_binary64_8011` `log-rec_binary64_8009` `pow-base-0_binary64_8005` `unpow1/3_binary64_7988` `exp-to-pow_binary64_7983` `pow-base-1_binary64_7981` `unpow0_binary64_7980` `unpow-1_binary64_7978` `exp-lft-cube_binary64_7977` `exp-cbrt_binary64_7975` `exp-sqrt_binary64_7974` `rec-exp_binary64_7971` `e-exp-1_binary64_7966` `exp-0_binary64_7963` `rem-log-exp_binary64_7962` `rem-exp-log_binary64_7961` `cube-neg_binary64_7948` `rem-3cbrt-rft_binary64_7947` `rem-cbrt-cube_binary64_7945` `rem-cube-cbrt_binary64_7944` `sqr-abs_binary64_7936` `sqr-neg_binary64_7935` `remove-double-neg_binary64_7909` `sub0-neg_binary64_7908` `--rgt-identity_binary64_7907` `+-lft-identity_binary64_7905` `mul0-rgt_binary64_7904` `mul0-lft_binary64_7903` `div0_binary64_7902` `*-inverses_binary64_7901` `+-inverses_binary64_7900` `lft-mult-inverse_binary64_7899` `rgt-mult-inverse_binary64_7898` `remove-double-div_binary64_7897` `difference-of-sqr-1_binary64_7891` `cancel-sign-sub_binary64_7886` `distribute-frac-neg_binary64_7884` `distribute-neg-out_binary64_7883` `distribute-rgt1-in_binary64_7877` `distribute-lft1-in_binary64_7876` `distribute-lft-out--_binary64_7873` `distribute-lft-out_binary64_7872` `count-2_binary64_7869` `associate-/l/_binary64_7868` `associate--r-_binary64_7860` `associate--l-_binary64_7859`

Counts

199 → 145

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	352	9264
1	968	7480
2	3386	7480
3	4682	7474
4	5001	7474

prune213.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	145	4	149

Error

0.0b

Counts

149 → 4

Compiler

Compiled 5129 to 2152 computations (58% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 (*.f64 z y) (sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.9b	(.f64 (.f64 z y) (sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
3.3b	(sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.3b	(sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite1.1s (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

297×	`sqrt-div_binary64_7938`
243×	`frac-sub_binary64_7930`
162×	`tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108`
154×	`associate-*r/_binary64_7863`
121×	`frac-times_binary64_7931`
27×	`flip3--_binary64_7925` `flip--_binary64_7896`
20×	`pow1_binary64_7982` `add-sqr-sqrt_binary64_7943` `sqrt-prod_binary64_7937`
18×	`add-exp-log_binary64_7959` `add-cbrt-cube_binary64_7957` `*-un-lft-identity_binary64_7921`
16×	`associate-r_binary64_7861`
11×	`associate-*l/_binary64_7864`
10×	`add-cube-cbrt_binary64_7956`
9×	`pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954`
4×	`add-log-exp_binary64_7960` `difference-of-squares_binary64_7890` `distribute-lft-out--_binary64_7873`
2×	`pow1/2_binary64_8001` `sqrt-pow1_binary64_7939` `rem-sqrt-square_binary64_7934` `associate-l_binary64_7862` `*-commutative_binary64_7852`

Counts

4 → 255

Calls

4 calls:

32.0ms	(.f64 (.f64 (*.f64 z y) (sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
15.0ms	(.f64 (.f64 z y) (sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
10.0ms	(sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
8.0ms	(sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Compiler

Compiled 21247 to 7446 computations (65% saved)

series4.8s (18.7%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

1.6s	(.f64 (.f64 z y) (sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.4s	(.f64 (.f64 (*.f64 z y) (sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
820.0ms	(sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
816.0ms	(sqrt.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Compiler

Compiled 9748 to 6450 computations (33.8% saved)

simplify703.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

636×	`associate-r_binary64_7861`
307×	`*-commutative_binary64_7852`
293×	`times-frac_binary64_7927`
186×	`distribute-rgt-in_binary64_7871` `distribute-lft-in_binary64_7870`
183×	`associate-l_binary64_7862`
175×	`cancel-sign-sub-inv_binary64_7887`
164×	`sub-neg_binary64_7914`
88×	`+-commutative_binary64_7851`
75×	`neg-sub0_binary64_7916`
72×	`exp-prod_binary64_7973`
71×	`neg-mul-1_binary64_7917`
68×	`sqr-pow_binary64_7893`
62×	`associate-*r/_binary64_7863`
54×	`prod-exp_binary64_7970`
52×	`associate-/l_binary64_7866` `associate-l/_binary64_7864`
48×	`*-rgt-identity_binary64_7911`
47×	`unsub-neg_binary64_7915`
45×	`associate--l+_binary64_7858`
39×	`associate-+l+_binary64_7854`
36×	`associate--r+_binary64_7857`
34×	`unswap-sqr_binary64_7889`
33×	`log-prod_binary64_8007` `distribute-rgt-neg-in_binary64_7879`
32×	`cube-prod_binary64_7949`
26×	`*-lft-identity_binary64_7910`
25×	`rem-sqrt-square_binary64_7934` `associate-/r*_binary64_7865`
24×	`distribute-neg-in_binary64_7882`
23×	`rem-square-sqrt_binary64_7933` `swap-sqr_binary64_7888`
22×	`unpow3_binary64_7987`
21×	`distribute-lft-neg-in_binary64_7878`
17×	`cube-mult_binary64_7951`
16×	`div-sub_binary64_7926`
14×	`mul-1-neg_binary64_7913`
12×	`distribute-neg-frac_binary64_7885` `associate-/r/_binary64_7867`
11×	`distribute-lft-neg-out_binary64_7880`
10×	`associate-+r+_binary64_7853`
8×	`exp-sum_binary64_7967` `pow-sqr_binary64_7894`
7×	`cube-unmult_binary64_7958`
6×	`cube-div_binary64_7950`
5×	`div-exp_binary64_7972`
4×	`unpow1/2_binary64_7985` `unpow1_binary64_7979` `difference-of-sqr--1_binary64_7892` `difference-of-squares_binary64_7890`
3×	`pow-plus_binary64_7984` `exp-diff_binary64_7969` `distribute-rgt-out_binary64_7874`
2×	`tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108` `log-pow_binary64_8010` `unpow2_binary64_7986` `unpow-1_binary64_7978` `exp-lft-sqr_binary64_7976` `exp-neg_binary64_7968` `/-rgt-identity_binary64_7912` `distribute-rgt-out--_binary64_7875`
1×	`1-exp_binary64_7965` `exp-1-e_binary64_7964` `count-2_binary64_7869`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_8184` `erf-erfc_binary64_8183` `erf-odd_binary64_8182` `if-if-and-not_binary64_8181` `if-if-and_binary64_8180` `if-if-or-not_binary64_8179` `if-if-or_binary64_8178` `if-not_binary64_8177` `if-same_binary64_8176` `if-false_binary64_8175` `if-true_binary64_8174` `not-gte_binary64_8173` `not-lte_binary64_8172` `not-gt_binary64_8171` `not-lt_binary64_8170` `gte-same_binary64_8169` `lte-same_binary64_8168` `gt-same_binary64_8167` `lt-same_binary64_8166` `sinh---cosh_binary64_8113` `sinh-+-cosh_binary64_8112` `sinh-cosh_binary64_8111` `cosh-def_binary64_8107` `sinh-def_binary64_8106` `tan-neg_binary64_8053` `cos-neg_binary64_8052` `sin-neg_binary64_8051` `tan-0_binary64_8050` `cos-0_binary64_8049` `sin-0_binary64_8048` `hang-m-tan_binary64_8047` `hang-p-tan_binary64_8046` `hang-m0-tan_binary64_8045` `hang-p0-tan_binary64_8044` `hang-0m-tan_binary64_8043` `hang-0p-tan_binary64_8042` `tan-+PI/2_binary64_8041` `tan-+PI_binary64_8040` `tan-PI_binary64_8039` `tan-PI/3_binary64_8038` `tan-PI/4_binary64_8037` `tan-PI/6_binary64_8036` `cos-+PI/2_binary64_8035` `cos-+PI_binary64_8034` `cos-PI_binary64_8033` `cos-PI/2_binary64_8032` `cos-PI/3_binary64_8031` `cos-PI/4_binary64_8030` `cos-PI/6_binary64_8029` `sin-+PI/2_binary64_8028` `sin-+PI_binary64_8027` `sin-PI_binary64_8026` `sin-PI/2_binary64_8025` `sin-PI/3_binary64_8024` `sin-PI/4_binary64_8023` `sin-PI/6_binary64_8022` `sub-1-sin_binary64_8021` `sub-1-cos_binary64_8020` `-1-add-sin_binary64_8019` `-1-add-cos_binary64_8018` `1-sub-sin_binary64_8017` `1-sub-cos_binary64_8016` `cos-sin-sum_binary64_8015` `log-E_binary64_8011` `log-rec_binary64_8009` `log-div_binary64_8008` `pow-base-0_binary64_8005` `unpow1/3_binary64_7988` `exp-to-pow_binary64_7983` `pow-base-1_binary64_7981` `unpow0_binary64_7980` `exp-lft-cube_binary64_7977` `exp-cbrt_binary64_7975` `exp-sqrt_binary64_7974` `rec-exp_binary64_7971` `e-exp-1_binary64_7966` `exp-0_binary64_7963` `rem-log-exp_binary64_7962` `rem-exp-log_binary64_7961` `cube-neg_binary64_7948` `rem-3cbrt-rft_binary64_7947` `rem-3cbrt-lft_binary64_7946` `rem-cbrt-cube_binary64_7945` `rem-cube-cbrt_binary64_7944` `sqr-abs_binary64_7936` `sqr-neg_binary64_7935` `remove-double-neg_binary64_7909` `sub0-neg_binary64_7908` `--rgt-identity_binary64_7907` `+-rgt-identity_binary64_7906` `+-lft-identity_binary64_7905` `mul0-rgt_binary64_7904` `mul0-lft_binary64_7903` `div0_binary64_7902` `*-inverses_binary64_7901` `+-inverses_binary64_7900` `lft-mult-inverse_binary64_7899` `rgt-mult-inverse_binary64_7898` `remove-double-div_binary64_7897` `difference-of-sqr-1_binary64_7891` `cancel-sign-sub_binary64_7886` `distribute-frac-neg_binary64_7884` `distribute-neg-out_binary64_7883` `distribute-rgt-neg-out_binary64_7881` `distribute-rgt1-in_binary64_7877` `distribute-lft1-in_binary64_7876` `distribute-lft-out--_binary64_7873` `distribute-lft-out_binary64_7872` `associate-/l/_binary64_7868` `associate--r-_binary64_7860` `associate--l-_binary64_7859` `associate-+l-_binary64_7856` `associate-+r-_binary64_7855`

Counts

309 → 272

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	578	32379
1	1618	29492
2	3833	29480
3	4883	29480
4	4962	29480

prune993.0ms (3.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	272	0	272
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	272	4	276

Error

0.0b

Counts

276 → 4

Compiler

Compiled 20858 to 7880 computations (62.2% saved)

regimes463.0ms (1.8%)

Accuracy

Total 1.4b remaining (99.2%)

Threshold costs 0b (0%)

Compiler

Compiled 4572 to 3010 computations (34.2% saved)

bsearch3.0ms (0%)

Compiler: Compiled 15 to 12 computations (20% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64_7852`
9×	`+-commutative_binary64_7851`
6×	`sub-neg_binary64_7914`
4×	`neg-mul-1_binary64_7917` `neg-sub0_binary64_7916`
2×	`cancel-sign-sub-inv_binary64_7887` `distribute-rgt-neg-in_binary64_7879`
1×	`distribute-lft-neg-out_binary64_7880` `distribute-lft-neg-in_binary64_7878`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_8181` `if-if-and_binary64_8180` `if-if-or-not_binary64_8179` `if-if-or_binary64_8178` `if-not_binary64_8177` `if-same_binary64_8176` `if-false_binary64_8175` `if-true_binary64_8174` `tan-0_binary64_8050` `cos-0_binary64_8049` `sin-0_binary64_8048` `unpow1_binary64_7979` `e-exp-1_binary64_7966` `1-exp_binary64_7965` `exp-1-e_binary64_7964` `exp-0_binary64_7963` `sqr-abs_binary64_7936` `sqr-neg_binary64_7935` `unsub-neg_binary64_7915` `mul-1-neg_binary64_7913` `/-rgt-identity_binary64_7912` `-rgt-identity_binary64_7911` `-lft-identity_binary64_7910` `remove-double-neg_binary64_7909` `sub0-neg_binary64_7908` `--rgt-identity_binary64_7907` `+-rgt-identity_binary64_7906` `+-lft-identity_binary64_7905` `cancel-sign-sub_binary64_7886` `distribute-neg-frac_binary64_7885` `distribute-frac-neg_binary64_7884` `distribute-neg-out_binary64_7883` `distribute-neg-in_binary64_7882` `distribute-rgt-neg-out_binary64_7881`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	64
1	40	64
2	53	64
3	61	64
4	66	64
5	67	64
6	67	64

end0.0ms (0%)

sample1.5s (5.8%)

Algorithm

1×

intervals

Results

390.0ms	7803×	body	128	valid
26.0ms	558×	body	128	invalid
12.0ms	67×	body	1024	valid
10.0ms	76×	body	512	valid
5.0ms	54×	body	256	valid

Compiler

Compiled 964 to 629 computations (34.8% saved)

Details

analyze923.0ms (3.6%)

sample27.0ms (0.1%)

simplify60.0ms (0.2%)

prune2.0ms (0%)

localize10.0ms (0%)

rewrite171.0ms (0.7%)

series3.8s (15%)

simplify222.0ms (0.9%)

prune169.0ms (0.7%)

localize14.0ms (0.1%)

rewrite313.0ms (1.2%)

series4.2s (16.6%)

simplify221.0ms (0.9%)

prune304.0ms (1.2%)

localize10.0ms (0%)

rewrite241.0ms (0.9%)

series4.8s (18.8%)

simplify233.0ms (0.9%)

prune213.0ms (0.8%)

localize13.0ms (0.1%)

rewrite1.1s (4.3%)

series4.8s (18.7%)

simplify703.0ms (2.8%)

prune993.0ms (3.9%)

regimes463.0ms (1.8%)

bsearch3.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample1.5s (5.8%)

Profiling