Details

analyze643.0ms (2.7%)

Algorithm

1×

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
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample23.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	48×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify800.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

548×	`exp-prod_binary64_7973`
506×	`swap-sqr_binary64_7888`
390×	`distribute-rgt-neg-in_binary64_7879`
277×	`distribute-rgt-in_binary64_7871`
199×	`associate-r_binary64_7861`
189×	`sub-neg_binary64_7914`
178×	`distribute-rgt-out_binary64_7874` `associate-/l*_binary64_7866`
174×	`cancel-sign-sub-inv_binary64_7887`
168×	`distribute-lft-neg-in_binary64_7878`
166×	`distribute-rgt1-in_binary64_7877`
132×	`distribute-rgt-out--_binary64_7875`
123×	`associate-l_binary64_7862`
106×	`distribute-neg-frac_binary64_7885`
89×	`div-sub_binary64_7926`
75×	`unsub-neg_binary64_7915`
71×	`distribute-lft-out_binary64_7872`
68×	`associate-/l/_binary64_7868`
67×	`distribute-rgt-neg-out_binary64_7881` `distribute-lft-out--_binary64_7873`
59×	`distribute-lft-neg-out_binary64_7880`
45×	`associate-/r*_binary64_7865`
42×	`neg-mul-1_binary64_7917`
39×	`neg-sub0_binary64_7916`
38×	`times-frac_binary64_7927`
36×	`distribute-neg-in_binary64_7882`
31×	`distribute-lft-in_binary64_7870`
28×	`associate-*l/_binary64_7864`
27×	`associate-*r/_binary64_7863`
25×	`*-commutative_binary64_7852`
24×	`associate-/r/_binary64_7867` `associate--r+_binary64_7857`
21×	`+-commutative_binary64_7851`
17×	`associate-+l-_binary64_7856`
16×	`distribute-lft1-in_binary64_7876`
14×	`distribute-neg-out_binary64_7883`
13×	`sub0-neg_binary64_7908`
12×	`distribute-frac-neg_binary64_7884` `associate--l+_binary64_7858` `associate-+l+_binary64_7854`
11×	`+-inverses_binary64_7900`
10×	`associate-+r-_binary64_7855`
9×	`+-rgt-identity_binary64_7906` `mul0-lft_binary64_7903` `associate-+r+_binary64_7853`
7×	`remove-double-neg_binary64_7909` `mul0-rgt_binary64_7904`
6×	`+-lft-identity_binary64_7905` `associate--l-_binary64_7859`
5×	`cube-unmult_binary64_7958` `associate--r-_binary64_7860`
4×	`div0_binary64_7902` `unswap-sqr_binary64_7889`
3×	`--rgt-identity_binary64_7907` `count-2_binary64_7869`
2×	`mul-1-neg_binary64_7913` `difference-of-squares_binary64_7890`
1×	`exp-lft-sqr_binary64_7976` `exp-diff_binary64_7969` `exp-sum_binary64_7967` `1-exp_binary64_7965` `sqr-neg_binary64_7935`
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` `tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108` `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` `prod-exp_binary64_7970` `exp-neg_binary64_7968` `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-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` `rem-sqrt-square_binary64_7934` `rem-square-sqrt_binary64_7933` `/-rgt-identity_binary64_7912` `-rgt-identity_binary64_7911` `-lft-identity_binary64_7910` `*-inverses_binary64_7901` `lft-mult-inverse_binary64_7899` `rgt-mult-inverse_binary64_7898` `remove-double-div_binary64_7897` `pow-sqr_binary64_7894` `sqr-pow_binary64_7893` `difference-of-sqr--1_binary64_7892` `difference-of-sqr-1_binary64_7891` `cancel-sign-sub_binary64_7886`

Counts

1 → 4

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	33	13
3	62	13
4	113	13
5	206	13
6	383	13
7	1932	13

prune13.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

0.0b

Counts

5 → 3

Compiler

Compiled 63 to 40 computations (36.5% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
7.7b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite161.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`times-frac_binary64_7927`
88×	`*-un-lft-identity_binary64_7921`
86×	`add-sqr-sqrt_binary64_7943`
58×	`add-cube-cbrt_binary64_7956`
14×	`difference-of-squares_binary64_7890` `distribute-lft-out--_binary64_7873`
13×	`associate-/r*_binary64_7865`
7×	`add-exp-log_binary64_7959` `add-cbrt-cube_binary64_7957` `div-inv_binary64_7918`
5×	`associate-/l*_binary64_7866`
4×	`add-log-exp_binary64_7960`
3×	`div-exp_binary64_7972` `cbrt-undiv_binary64_7955`
2×	`pow1_binary64_7982` `div-sub_binary64_7926` `associate-/l/_binary64_7868`
1×	`frac-2neg_binary64_7932` `clear-num_binary64_7920` `flip3--_binary64_7925` `flip--_binary64_7896` `associate-/r/_binary64_7867` `sum-log_binary64_8012` `flip3-+_binary64_7924` `flip-+_binary64_7895` `distribute-lft-out_binary64_7872` `associate-+r-_binary64_7855` `+-commutative_binary64_7851`

Counts

2 → 114

Calls

2 calls:

21.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
9.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

Compiler

Compiled 2282 to 559 computations (75.5% saved)

series789.0ms (3.3%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

437.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
328.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify456.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

563×	`associate-/r/_binary64_7867`
524×	`div-sub_binary64_7926`
409×	`associate-l_binary64_7862`
357×	`*-commutative_binary64_7852`
319×	`associate-/r*_binary64_7865`
294×	`associate-r_binary64_7861`
274×	`distribute-rgt-in_binary64_7871`
273×	`distribute-lft-in_binary64_7870`
136×	`associate-/l/_binary64_7868`
135×	`associate-/l*_binary64_7866`
108×	`associate-*l/_binary64_7864`
98×	`cancel-sign-sub-inv_binary64_7887`
88×	`sub-neg_binary64_7914`
76×	`distribute-rgt-neg-in_binary64_7879`
70×	`exp-prod_binary64_7973`
66×	`distribute-lft-neg-in_binary64_7878`
65×	`associate-*r/_binary64_7863`
64×	`distribute-neg-frac_binary64_7885`
62×	`neg-sub0_binary64_7916` `+-commutative_binary64_7851`
58×	`neg-mul-1_binary64_7917`
46×	`cube-prod_binary64_7949` `times-frac_binary64_7927`
40×	`log-prod_binary64_8007`
36×	`/-rgt-identity_binary64_7912`
31×	`*-rgt-identity_binary64_7911`
29×	`exp-sum_binary64_7967`
28×	`distribute-rgt-out_binary64_7874`
25×	`exp-diff_binary64_7969` `cube-div_binary64_7950`
23×	`log-div_binary64_8008` `distribute-neg-in_binary64_7882`
22×	`distribute-lft-neg-out_binary64_7880` `associate-+l-_binary64_7856` `associate-+r-_binary64_7855`
20×	`associate-+l+_binary64_7854`
19×	`sqr-pow_binary64_7893`
17×	`prod-exp_binary64_7970` `distribute-rgt-out--_binary64_7875`
16×	`div-exp_binary64_7972`
14×	`associate-+r+_binary64_7853`
13×	`unswap-sqr_binary64_7889`
12×	`distribute-rgt-neg-out_binary64_7881`
10×	`associate--r+_binary64_7857`
9×	`unpow3_binary64_7987`
7×	`cube-mult_binary64_7951` `*-lft-identity_binary64_7910` `pow-sqr_binary64_7894` `associate--r-_binary64_7860`
6×	`cube-unmult_binary64_7958` `mul-1-neg_binary64_7913` `swap-sqr_binary64_7888`
5×	`associate--l+_binary64_7858`
4×	`rec-exp_binary64_7971` `cube-neg_binary64_7948` `sqr-neg_binary64_7935` `distribute-lft-out_binary64_7872`
3×	`log-pow_binary64_8010` `pow-plus_binary64_7984` `unsub-neg_binary64_7915` `remove-double-div_binary64_7897` `associate--l-_binary64_7859`
2×	`log-rec_binary64_8009` `remove-double-neg_binary64_7909` `distribute-lft-out--_binary64_7873`
1×	`pow-base-1_binary64_7981` `1-exp_binary64_7965` `rem-log-exp_binary64_7962` `difference-of-squares_binary64_7890` `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` `tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108` `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` `unpow2_binary64_7986` `unpow1/2_binary64_7985` `exp-to-pow_binary64_7983` `unpow0_binary64_7980` `unpow1_binary64_7979` `unpow-1_binary64_7978` `exp-lft-cube_binary64_7977` `exp-lft-sqr_binary64_7976` `exp-cbrt_binary64_7975` `exp-sqrt_binary64_7974` `exp-neg_binary64_7968` `e-exp-1_binary64_7966` `exp-1-e_binary64_7964` `exp-0_binary64_7963` `rem-exp-log_binary64_7961` `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-sqrt-square_binary64_7934` `rem-square-sqrt_binary64_7933` `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` `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`

Counts

156 → 480

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	3125
1	651	2933
2	1970	2928
3	4628	2928

prune649.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	477	3	480
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	477	6	483

Error

Counts

483 → 6

Compiler

Compiled 9526 to 1512 computations (84.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)
0.8b	(.f64 (.f64 (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 t)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 t))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (cbrt.f64 t) z)))
2.5b	(/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (cbrt.f64 t) z))

rewrite877.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

668×	`times-frac_binary64_7927`
425×	`add-sqr-sqrt_binary64_7943`
408×	`*-un-lft-identity_binary64_7921`
389×	`cbrt-prod_binary64_7952`
318×	`add-cube-cbrt_binary64_7956`
181×	`associate-r_binary64_7861`
78×	`add-exp-log_binary64_7959`
45×	`difference-of-squares_binary64_7890` `distribute-lft-out--_binary64_7873`
36×	`add-cbrt-cube_binary64_7957`
30×	`div-exp_binary64_7972` `cbrt-undiv_binary64_7955`
27×	`prod-exp_binary64_7970` `cbrt-unprod_binary64_7954`
22×	`associate-/r*_binary64_7865`
19×	`div-inv_binary64_7918`
9×	`pow1_binary64_7982`
8×	`associate-/l*_binary64_7866`
7×	`unswap-sqr_binary64_7889`
5×	`frac-times_binary64_7931` `associate-*l/_binary64_7864`
4×	`add-log-exp_binary64_7960`
3×	`pow-prod-down_binary64_7992` `associate-*r/_binary64_7863`
2×	`cbrt-div_binary64_7953` `associate-/l/_binary64_7868` `associate-/r/_binary64_7867` `pow1/3_binary64_8003`
1×	`frac-2neg_binary64_7932` `clear-num_binary64_7920` `flip3--_binary64_7925` `flip--_binary64_7896` `associate-l_binary64_7862` `*-commutative_binary64_7852`

Counts

4 → 481

Calls

4 calls:

65.0ms	(.f64 (.f64 (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 t)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 t))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (cbrt.f64 t) z)))
16.0ms	(/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (cbrt.f64 t) z))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 19890 to 2714 computations (86.4% saved)

series1.5s (6.3%)

Error

Counts

4 → 42

Calls

4 calls:

733.0ms	(/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (cbrt.f64 t) z))
459.0ms	(.f64 (.f64 (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 t)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 t))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (cbrt.f64 t) z)))
129.0ms	(cbrt.f64 t)
115.0ms	(cbrt.f64 t)

Compiler

Compiled 3048 to 1775 computations (41.8% saved)

simplify1.7s (7.3%)

Algorithm

1×	egg-herbie

Rules

880×	`associate-*r/_binary64_7863`
774×	`associate-/l*_binary64_7866`
534×	`associate-/r/_binary64_7867`
440×	`associate-/l/_binary64_7868`
281×	`times-frac_binary64_7927`
223×	`*-commutative_binary64_7852`
184×	`associate-l_binary64_7862`
179×	`associate-/r*_binary64_7865`
35×	`sub-neg_binary64_7914`
27×	`sqr-pow_binary64_7893`
24×	`neg-sub0_binary64_7916`
23×	`associate-r_binary64_7861`
22×	`exp-prod_binary64_7973` `neg-mul-1_binary64_7917`
20×	`distribute-rgt-neg-in_binary64_7879`
19×	`unswap-sqr_binary64_7889`
17×	`cancel-sign-sub-inv_binary64_7887`
16×	`log-prod_binary64_8007` `associate-*l/_binary64_7864`
15×	`distribute-rgt-in_binary64_7871` `distribute-lft-in_binary64_7870`
14×	`log-div_binary64_8008` `/-rgt-identity_binary64_7912`
12×	`distribute-lft-neg-in_binary64_7878`
11×	`pow-sqr_binary64_7894`
10×	`distribute-neg-frac_binary64_7885`
9×	`cube-unmult_binary64_7958` `mul-1-neg_binary64_7913`
8×	`div-sub_binary64_7926` `distribute-lft-neg-out_binary64_7880`
7×	`unpow1/3_binary64_7988` `swap-sqr_binary64_7888` `+-commutative_binary64_7851`
4×	`log-rec_binary64_8009` `exp-sum_binary64_7967`
3×	`distribute-neg-out_binary64_7883`
2×	`log-pow_binary64_8010` `unpow2_binary64_7986` `rem-3cbrt-lft_binary64_7946` `-rgt-identity_binary64_7911` `remove-double-neg_binary64_7909` `-inverses_binary64_7901` `remove-double-div_binary64_7897` `associate-+r-_binary64_7855`
1×	`unpow3_binary64_7987` `div-exp_binary64_7972` `rec-exp_binary64_7971` `prod-exp_binary64_7970` `1-exp_binary64_7965` `rem-log-exp_binary64_7962` `cube-mult_binary64_7951` `rem-cube-cbrt_binary64_7944` `rem-sqrt-square_binary64_7934` `distribute-frac-neg_binary64_7884` `distribute-neg-in_binary64_7882` `distribute-rgt-neg-out_binary64_7881` `distribute-rgt-out--_binary64_7875` `distribute-rgt-out_binary64_7874` `count-2_binary64_7869` `associate--r-_binary64_7860` `associate-+l-_binary64_7856` `associate-+l+_binary64_7854` `associate-+r+_binary64_7853`
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` `tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108` `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` `unpow1/2_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-lft-sqr_binary64_7976` `exp-cbrt_binary64_7975` `exp-sqrt_binary64_7974` `exp-diff_binary64_7969` `exp-neg_binary64_7968` `e-exp-1_binary64_7966` `exp-1-e_binary64_7964` `exp-0_binary64_7963` `rem-exp-log_binary64_7961` `cube-div_binary64_7950` `cube-prod_binary64_7949` `cube-neg_binary64_7948` `rem-3cbrt-rft_binary64_7947` `rem-cbrt-cube_binary64_7945` `sqr-abs_binary64_7936` `sqr-neg_binary64_7935` `rem-square-sqrt_binary64_7933` `unsub-neg_binary64_7915` `*-lft-identity_binary64_7910` `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_7900` `lft-mult-inverse_binary64_7899` `rgt-mult-inverse_binary64_7898` `difference-of-sqr--1_binary64_7892` `difference-of-sqr-1_binary64_7891` `difference-of-squares_binary64_7890` `cancel-sign-sub_binary64_7886` `distribute-rgt1-in_binary64_7877` `distribute-lft1-in_binary64_7876` `distribute-lft-out--_binary64_7873` `distribute-lft-out_binary64_7872` `associate--l-_binary64_7859` `associate--l+_binary64_7858` `associate--r+_binary64_7857`

Counts

523 → 1037

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	692	20311
1	1940	17486

prune1.7s (7.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1037	0	1037
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	1037	6	1043

Error

Counts

1043 → 6

Compiler

Compiled 41093 to 6240 computations (84.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (/.f64 t z))) (cbrt.f64 (/.f64 t z))) (/.f64 (-.f64 y x) (cbrt.f64 (/.f64 t z))))
13.0b	(cbrt.f64 (/.f64 t z))
13.0b	(cbrt.f64 (/.f64 t z))
13.0b	(cbrt.f64 (/.f64 t z))

rewrite4.0s (16.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

2977×	`times-frac_binary64_7927`
1639×	`add-sqr-sqrt_binary64_7943`
1567×	`cbrt-prod_binary64_7952`
1231×	`*-un-lft-identity_binary64_7921`
1163×	`add-cube-cbrt_binary64_7956`
853×	`associate-l_binary64_7862`
131×	`div-inv_binary64_7918`
92×	`unswap-sqr_binary64_7889`
85×	`associate-r_binary64_7861`
39×	`add-exp-log_binary64_7959`
21×	`cbrt-div_binary64_7953`
18×	`associate-/r/_binary64_7867`
17×	`div-exp_binary64_7972`
16×	`add-cbrt-cube_binary64_7957` `difference-of-squares_binary64_7890` `distribute-lft-out--_binary64_7873`
10×	`prod-exp_binary64_7970`
9×	`cbrt-undiv_binary64_7955`
6×	`pow1_binary64_7982` `cbrt-unprod_binary64_7954`
4×	`add-log-exp_binary64_7960`
3×	`pow1/3_binary64_8003`
2×	`1-exp_binary64_7965` `rec-exp_binary64_7971`
1×	`pow-prod-down_binary64_7992` `frac-times_binary64_7931` `associate-l/_binary64_7864` `associate-r/_binary64_7863` `*-commutative_binary64_7852`

Counts

4 → 1124

Calls

4 calls:

918.0ms	(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (/.f64 t z))) (cbrt.f64 (/.f64 t z))) (/.f64 (-.f64 y x) (cbrt.f64 (/.f64 t z))))
3.0ms	(cbrt.f64 (/.f64 t z))
2.0ms	(cbrt.f64 (/.f64 t z))
2.0ms	(cbrt.f64 (/.f64 t z))

Compiler

Compiled 46865 to 14317 computations (69.5% saved)

series1.4s (5.8%)

Error

Counts

4 → 36

Calls

4 calls:

402.0ms	(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (/.f64 t z))) (cbrt.f64 (/.f64 t z))) (/.f64 (-.f64 y x) (cbrt.f64 (/.f64 t z))))
322.0ms	(cbrt.f64 (/.f64 t z))
313.0ms	(cbrt.f64 (/.f64 t z))
302.0ms	(cbrt.f64 (/.f64 t z))

Compiler

Compiled 2130 to 1397 computations (34.4% saved)

simplify1.3s (5.5%)

Algorithm

1×	egg-herbie

Rules

726×	`*-commutative_binary64_7852`
707×	`associate-*l/_binary64_7864`
692×	`associate-*r/_binary64_7863`
508×	`associate-/l/_binary64_7868`
25×	`associate-/l*_binary64_7866`
10×	`sub-neg_binary64_7914`
9×	`associate-l_binary64_7862`
8×	`associate-/r*_binary64_7865`
7×	`log-div_binary64_8008`
6×	`exp-prod_binary64_7973` `/-rgt-identity_binary64_7912` `associate-r_binary64_7861`
4×	`div-sub_binary64_7926` `associate-/r/_binary64_7867`
3×	`log-rec_binary64_8009` `times-frac_binary64_7927` `mul-1-neg_binary64_7913` `*-rgt-identity_binary64_7911`
2×	`distribute-rgt-in_binary64_7871` `distribute-lft-in_binary64_7870` `associate--l-_binary64_7859`
1×	`log-prod_binary64_8007` `unpow3_binary64_7987` `1-exp_binary64_7965` `cube-mult_binary64_7951` `rem-3cbrt-lft_binary64_7946` `rem-cube-cbrt_binary64_7944` `neg-mul-1_binary64_7917` `neg-sub0_binary64_7916` `sqr-pow_binary64_7893` `swap-sqr_binary64_7888` `cancel-sign-sub-inv_binary64_7887` `associate-+l-_binary64_7856` `associate-+r-_binary64_7855`
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` `tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108` `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` `pow-base-0_binary64_8005` `unpow1/3_binary64_7988` `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-lft-sqr_binary64_7976` `exp-cbrt_binary64_7975` `exp-sqrt_binary64_7974` `div-exp_binary64_7972` `rec-exp_binary64_7971` `prod-exp_binary64_7970` `exp-diff_binary64_7969` `exp-neg_binary64_7968` `exp-sum_binary64_7967` `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-div_binary64_7950` `cube-prod_binary64_7949` `cube-neg_binary64_7948` `rem-3cbrt-rft_binary64_7947` `rem-cbrt-cube_binary64_7945` `sqr-abs_binary64_7936` `sqr-neg_binary64_7935` `rem-sqrt-square_binary64_7934` `rem-square-sqrt_binary64_7933` `unsub-neg_binary64_7915` `-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` `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` `pow-sqr_binary64_7894` `difference-of-sqr--1_binary64_7892` `difference-of-sqr-1_binary64_7891` `difference-of-squares_binary64_7890` `unswap-sqr_binary64_7889` `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` `distribute-lft-neg-out_binary64_7880` `distribute-rgt-neg-in_binary64_7879` `distribute-lft-neg-in_binary64_7878` `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_7860` `associate--l+_binary64_7858` `associate--r+_binary64_7857` `associate-+l+_binary64_7854` `associate-+r+_binary64_7853` `+-commutative_binary64_7851`

Counts

1160 → 1285

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1530	43608

prune3.3s (14.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1285	0	1285
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	1285	6	1291

Error

Counts

1291 → 6

Compiler

Compiled 55407 to 15441 computations (72.1% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 z (/.f64 t y)) (-.f64 x (*.f64 (/.f64 x t) z)))
0.0b	(-.f64 x (*.f64 (/.f64 x t) z))
5.5b	(*.f64 (/.f64 x t) z)
6.3b	(/.f64 z (/.f64 t y))

rewrite177.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

85×	`times-frac_binary64_7927`
59×	`add-sqr-sqrt_binary64_7943`
56×	`*-un-lft-identity_binary64_7921`
54×	`add-cube-cbrt_binary64_7956`
14×	`add-exp-log_binary64_7959` `add-cbrt-cube_binary64_7957`
13×	`associate-/r_binary64_7865` `associate-l*_binary64_7862`
11×	`add-log-exp_binary64_7960`
6×	`pow1_binary64_7982` `div-inv_binary64_7918`
4×	`div-exp_binary64_7972` `cbrt-undiv_binary64_7955`
3×	`associate-/l_binary64_7866` `associate-r*_binary64_7861`
2×	`prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `unswap-sqr_binary64_7889` `diff-log_binary64_8013` `flip3--_binary64_7925` `sub-neg_binary64_7914` `flip--_binary64_7896` `cancel-sign-sub-inv_binary64_7887` `sum-log_binary64_8012` `frac-add_binary64_7929` `associate-+r+_binary64_7853`
1×	`frac-2neg_binary64_7932` `clear-num_binary64_7920` `associate-/r/_binary64_7867` `pow-prod-down_binary64_7992` `associate-l/_binary64_7864` `-commutative_binary64_7852` `flip3-+_binary64_7924` `flip-+_binary64_7895` `distribute-lft-out_binary64_7872` `associate-+r-_binary64_7855` `+-commutative_binary64_7851`

Counts

4 → 132

Calls

4 calls:

20.0ms	(+.f64 (/.f64 z (/.f64 t y)) (-.f64 x (*.f64 (/.f64 x t) z)))
7.0ms	(*.f64 (/.f64 x t) z)
6.0ms	(/.f64 z (/.f64 t y))
3.0ms	(-.f64 x (*.f64 (/.f64 x t) z))

Compiler

Compiled 2946 to 630 computations (78.6% saved)

series986.0ms (4.2%)

Error

Counts

4 → 57

Calls

4 calls:

436.0ms	(+.f64 (/.f64 z (/.f64 t y)) (-.f64 x (*.f64 (/.f64 x t) z)))
205.0ms	(-.f64 x (*.f64 (/.f64 x t) z))
163.0ms	(*.f64 (/.f64 x t) z)
149.0ms	(/.f64 z (/.f64 t y))

Compiler

Compiled 1787 to 985 computations (44.9% saved)

simplify391.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

461×	`associate-/r/_binary64_7867`
460×	`*-commutative_binary64_7852`
346×	`distribute-rgt-in_binary64_7871`
332×	`distribute-lft-in_binary64_7870`
289×	`associate-/r*_binary64_7865`
195×	`unsub-neg_binary64_7915`
177×	`associate-*l/_binary64_7864`
154×	`associate-/l*_binary64_7866`
124×	`neg-sub0_binary64_7916`
123×	`neg-mul-1_binary64_7917` `associate-/l/_binary64_7868`
111×	`cancel-sign-sub-inv_binary64_7887`
108×	`associate-l_binary64_7862`
105×	`associate-*r/_binary64_7863`
103×	`distribute-rgt-neg-in_binary64_7879`
100×	`associate-r_binary64_7861`
90×	`distribute-lft-neg-in_binary64_7878`
89×	`exp-prod_binary64_7973`
80×	`associate-+l+_binary64_7854`
73×	`distribute-neg-frac_binary64_7885`
71×	`div-sub_binary64_7926`
65×	`associate-+r+_binary64_7853`
60×	`cube-prod_binary64_7949`
59×	`log-prod_binary64_8007`
57×	`sub-neg_binary64_7914`
56×	`times-frac_binary64_7927`
50×	`+-commutative_binary64_7851`
48×	`exp-sum_binary64_7967`
41×	`cube-div_binary64_7950`
40×	`log-div_binary64_8008`
36×	`sqr-pow_binary64_7893` `distribute-lft-neg-out_binary64_7880`
32×	`unswap-sqr_binary64_7889`
30×	`/-rgt-identity_binary64_7912` `*-rgt-identity_binary64_7911`
28×	`*-lft-identity_binary64_7910` `distribute-rgt-out_binary64_7874`
27×	`associate-+l-_binary64_7856`
25×	`distribute-rgt-neg-out_binary64_7881`
24×	`exp-diff_binary64_7969`
23×	`associate-+r-_binary64_7855`
22×	`associate--r+_binary64_7857`
21×	`distribute-neg-in_binary64_7882`
20×	`div-exp_binary64_7972`
18×	`prod-exp_binary64_7970`
15×	`unpow3_binary64_7987`
13×	`pow-sqr_binary64_7894`
12×	`cube-mult_binary64_7951` `distribute-rgt-out--_binary64_7875` `associate--l+_binary64_7858`
11×	`swap-sqr_binary64_7888`
4×	`log-rec_binary64_8009` `rec-exp_binary64_7971` `cube-unmult_binary64_7958` `difference-of-squares_binary64_7890` `distribute-lft-out_binary64_7872` `associate--l-_binary64_7859`
3×	`log-pow_binary64_8010` `pow-plus_binary64_7984` `sqr-neg_binary64_7935` `mul-1-neg_binary64_7913` `+-rgt-identity_binary64_7906` `remove-double-div_binary64_7897` `associate--r-_binary64_7860`
2×	`cube-neg_binary64_7948` `remove-double-neg_binary64_7909`
1×	`pow-base-1_binary64_7981` `1-exp_binary64_7965` `exp-1-e_binary64_7964` `rem-log-exp_binary64_7962` `distribute-lft-out--_binary64_7873` `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` `tanh-def-c_binary64_8110` `tanh-def-b_binary64_8109` `tanh-def-a_binary64_8108` `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` `unpow2_binary64_7986` `unpow1/2_binary64_7985` `exp-to-pow_binary64_7983` `unpow0_binary64_7980` `unpow1_binary64_7979` `unpow-1_binary64_7978` `exp-lft-cube_binary64_7977` `exp-lft-sqr_binary64_7976` `exp-cbrt_binary64_7975` `exp-sqrt_binary64_7974` `exp-neg_binary64_7968` `e-exp-1_binary64_7966` `exp-0_binary64_7963` `rem-exp-log_binary64_7961` `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-sqrt-square_binary64_7934` `rem-square-sqrt_binary64_7933` `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` `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`

Counts

189 → 607

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	2859
1	660	2661
2	2206	2637
3	4520	2637

prune586.0ms (2.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	607	0	607
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	607	6	613

Error

Counts

613 → 6

Compiler

Compiled 14316 to 1871 computations (86.9% saved)

regimes651.0ms (2.8%)

Accuracy

Total 1.9b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 3381 to 2533 computations (25.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_7851`
2×	`sub-neg_binary64_7914` `*-commutative_binary64_7852`
1×	`1-exp_binary64_7965` `neg-mul-1_binary64_7917` `neg-sub0_binary64_7916` `/-rgt-identity_binary64_7912`
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` `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_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-inv_binary64_7887` `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` `distribute-lft-neg-out_binary64_7880` `distribute-rgt-neg-in_binary64_7879` `distribute-lft-neg-in_binary64_7878`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	23	43
2	27	43
3	29	43
4	30	43

Proof

(+ f64 h0 (* f64 (/ f64 (* f64 (cbrt f64 (- f64 h1 h0)) (cbrt f64 (- f64 h1 h0))) (=> (/ f64 (* f64 (cbrt f64 h2) (cbrt f64 h2)) 1))) (/ f64 (cbrt f64 (- f64 h1 h0)) (/ f64 (cbrt f64 h2) h3))))
/-rgt-identity_binary64_7912 =>
(+ f64 h0 (* f64 (/ f64 (* f64 (cbrt f64 (- f64 h1 h0)) (cbrt f64 (- f64 h1 h0))) (* f64 (cbrt f64 h2) (cbrt f64 h2))) (/ f64 (cbrt f64 (- f64 h1 h0)) (/ f64 (cbrt f64 h2) h3))))

end0.0ms (0%)

sample1.4s (5.9%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
65.0ms	2119×	body	128	invalid

Compiler

Compiled 743 to 545 computations (26.6% saved)

Details

analyze643.0ms (2.7%)

sample23.0ms (0.1%)

simplify800.0ms (3.4%)

prune13.0ms (0.1%)

localize7.0ms (0%)

rewrite161.0ms (0.7%)

series789.0ms (3.3%)

simplify456.0ms (1.9%)

prune649.0ms (2.8%)

localize14.0ms (0.1%)

rewrite877.0ms (3.7%)

series1.5s (6.3%)

simplify1.7s (7.3%)

prune1.7s (7.4%)

localize13.0ms (0.1%)

rewrite4.0s (16.9%)

series1.4s (5.8%)

simplify1.3s (5.5%)

prune3.3s (14.2%)

localize10.0ms (0%)

rewrite177.0ms (0.7%)

series986.0ms (4.2%)

simplify391.0ms (1.7%)

prune586.0ms (2.5%)

regimes651.0ms (2.8%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample1.4s (5.9%)

Profiling