Details

analyze678.0ms (10.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

1227×	`div-sub_binary64`
708×	`sub-neg_binary64`
619×	`neg-mul-1_binary64`
518×	`cancel-sign-sub-inv_binary64`
510×	`neg-sub0_binary64`
482×	`unsub-neg_binary64`
370×	`distribute-neg-frac_binary64`
339×	`distribute-rgt-in_binary64`
294×	`distribute-frac-neg_binary64`
268×	`distribute-rgt-neg-out_binary64`
257×	`associate-/l*_binary64`
232×	`distribute-lft-in_binary64`
227×	`remove-double-neg_binary64`
187×	`distribute-rgt-neg-in_binary64`
183×	`distribute-neg-in_binary64`
174×	`times-frac_binary64`
170×	`distribute-lft-neg-out_binary64`
167×	`+-commutative_binary64`
163×	`+-lft-identity_binary64`
148×	`distribute-lft-neg-in_binary64`
137×	`associate-/r*_binary64`
111×	`*-lft-identity_binary64`
88×	`associate-+r-_binary64`
79×	`*-commutative_binary64`
77×	`associate--r+_binary64`
70×	`associate-r_binary64`
65×	`associate-/r/_binary64`
64×	`cancel-sign-sub_binary64`
58×	`mul0-lft_binary64`
57×	`associate--r-_binary64`
56×	`mul0-rgt_binary64`
50×	`associate-+l-_binary64`
47×	`associate-*l/_binary64`
46×	`associate-l_binary64`
44×	`distribute-rgt-out--_binary64`
43×	`div0_binary64`
42×	`*-rgt-identity_binary64`
40×	`distribute-neg-out_binary64`
38×	`associate-*r/_binary64`
30×	`sub0-neg_binary64`
16×	`distribute-rgt-out_binary64` `associate-+r+_binary64`
13×	`+-rgt-identity_binary64`
12×	`distribute-lft-out--_binary64`
11×	`associate-+l+_binary64`
9×	`--rgt-identity_binary64` `distribute-lft-out_binary64`
8×	`*-inverses_binary64`
7×	`associate--l+_binary64`
6×	`distribute-rgt1-in_binary64`
3×	`/-rgt-identity_binary64`
2×	`remove-double-div_binary64`
1×	`1-exp_binary64` `associate--l-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	91
1	82	91
2	135	91
3	334	91
4	634	91
5	1497	91
6	3440	91
7	3911	91
8	4338	91
9	4556	91
10	4602	91
11	4684	91
12	5214	91
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
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	29×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify273.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

990×	`div-sub_binary64`
927×	`distribute-rgt-in_binary64`
872×	`distribute-lft-in_binary64`
760×	`sub-neg_binary64`
615×	`times-frac_binary64`
346×	`distribute-neg-frac_binary64`
343×	`neg-mul-1_binary64`
334×	`associate-/l*_binary64`
328×	`*-commutative_binary64`
325×	`neg-sub0_binary64`
307×	`distribute-rgt-neg-in_binary64`
305×	`cancel-sign-sub-inv_binary64`
304×	`unsub-neg_binary64`
287×	`associate-/r*_binary64`
264×	`distribute-rgt-neg-out_binary64`
223×	`distribute-lft-neg-out_binary64`
199×	`associate--r+_binary64`
194×	`associate-/r/_binary64`
189×	`distribute-lft-neg-in_binary64`
177×	`associate-*l/_binary64`
176×	`associate-/l/_binary64`
169×	`distribute-frac-neg_binary64`
158×	`associate-r_binary64`
151×	`associate-*r/_binary64`
123×	`remove-double-neg_binary64`
118×	`cancel-sign-sub_binary64`
112×	`associate--r-_binary64`
104×	`-lft-identity_binary64` `associate-l*_binary64`
93×	`+-commutative_binary64`
66×	`associate-+l+_binary64` `associate-+r+_binary64`
62×	`distribute-rgt-out--_binary64`
59×	`div0_binary64`
58×	`distribute-neg-in_binary64`
55×	`associate--l+_binary64`
49×	`+-rgt-identity_binary64`
48×	`associate-+r-_binary64`
45×	`distribute-rgt-out_binary64`
42×	`distribute-neg-out_binary64`
35×	`associate--l-_binary64`
31×	`--rgt-identity_binary64` `associate-+l-_binary64`
30×	`distribute-lft-out--_binary64`
27×	`mul0-rgt_binary64`
24×	`/-rgt-identity_binary64`
22×	`*-rgt-identity_binary64` `sub0-neg_binary64` `mul0-lft_binary64`
19×	`distribute-lft-out_binary64`
12×	`remove-double-div_binary64`
11×	`+-lft-identity_binary64`
2×	`mul-1-neg_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	18	13
2	29	13
3	65	13
4	125	13
5	226	13
6	498	13
7	1250	13
8	2587	13
9	2757	13
10	3143	13
11	3198	13
12	3212	13
13	3275	13
14	3697	13
15	3441	13
16	3665	13
17	3657	13
18	3693	13
19	3693	13
20	3729	13
21	3729	13
22	5412	13

prune1.0ms (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

3.1b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
3.0b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite99.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/l_binary64` `associate-/r_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `flip--_binary64` `associate-r_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

2 → 102

Calls

2 calls:

13.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
8.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 1538 to 306 computations (80.1% saved)

series145.0ms (2.3%)

Error

0.1b

Counts

2 → 49

Calls

2 calls:

66.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
47.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 2062 to 1385 computations (32.8% saved)

simplify130.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

606×	`times-frac_binary64`
311×	`distribute-rgt-in_binary64`
269×	`distribute-lft-in_binary64`
268×	`cancel-sign-sub-inv_binary64`
242×	`div-sub_binary64`
222×	`sub-neg_binary64`
121×	`associate-/l/_binary64`
108×	`associate-/l*_binary64`
92×	`+-commutative_binary64`
83×	`*-commutative_binary64`
77×	`associate--l+_binary64`
71×	`associate--r+_binary64`
66×	`associate-l/_binary64` `associate-l*_binary64`
59×	`associate-r_binary64`
58×	`neg-sub0_binary64`
56×	`distribute-neg-frac_binary64` `distribute-neg-in_binary64`
53×	`associate-/r*_binary64`
52×	`neg-mul-1_binary64`
51×	`associate-+l+_binary64`
42×	`associate-*r/_binary64`
39×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
37×	`distribute-lft-neg-in_binary64`
32×	`associate-+r+_binary64`
31×	`associate-/r/_binary64`
27×	`cube-prod_binary64`
26×	`sqr-pow_binary64`
23×	`exp-prod_binary64` `distribute-lft-neg-out_binary64`
22×	`distribute-rgt-neg-out_binary64`
20×	`log-prod_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
17×	`exp-sum_binary64` `*-rgt-identity_binary64`
16×	`unswap-sqr_binary64`
15×	`log-div_binary64`
13×	`cube-div_binary64`
9×	`cube-unmult_binary64` `swap-sqr_binary64`
8×	`unpow3_binary64` `/-rgt-identity_binary64` `*-lft-identity_binary64`
7×	`distribute-rgt1-in_binary64` `distribute-lft-out--_binary64`
6×	`cube-mult_binary64` `mul-1-neg_binary64` `distribute-rgt-out--_binary64`
4×	`exp-diff_binary64` `exp-neg_binary64` `sqr-neg_binary64` `difference-of-squares_binary64`
3×	`unpow1/2_binary64` `pow-plus_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `fabs-mul_binary64` `rem-sqrt-square_binary64` `associate--r-_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `pow-sqr_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

151 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	239	3335
1	648	3191
2	1973	2891
3	4658	2885
4	5109	2885

prune65.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	92	9	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	10	102

Error

0.0b

Counts

102 → 10

Compiler

Compiled 1515 to 441 computations (70.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))) (*.f64 t (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))))
4.5b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
4.5b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
4.5b	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))

rewrite173.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

97×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
93×	`cbrt-prod_binary64`
75×	`times-frac_binary64`
37×	`add-cube-cbrt_binary64`
30×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
15×	`cbrt-div_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
7×	`associate-*r/_binary64`
6×	`associate-/r/_binary64`
5×	`frac-times_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64`
1×	`associate-l_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 149

Calls

4 calls:

31.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))) (*.f64 t (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))))
7.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
7.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
7.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))

Compiler

Compiled 4681 to 511 computations (89.1% saved)

series619.0ms (9.9%)

Error

0.0b

Counts

4 → 91

Calls

4 calls:

141.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
140.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
136.0ms	(cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))
98.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))) (*.f64 t (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 z y)))))

Compiler

Compiled 11773 to 7125 computations (39.5% saved)

simplify208.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

491×	`cancel-sign-sub-inv_binary64`
277×	`sub-neg_binary64`
275×	`times-frac_binary64`
255×	`associate-r_binary64`
217×	`associate-/l*_binary64`
214×	`associate-l_binary64`
193×	`associate-/r*_binary64`
161×	`*-commutative_binary64`
137×	`+-commutative_binary64`
89×	`unswap-sqr_binary64`
88×	`neg-sub0_binary64` `associate--l+_binary64`
87×	`associate-*r/_binary64`
85×	`associate-+l+_binary64`
81×	`associate-*l/_binary64` `associate--r+_binary64` `associate-+r+_binary64`
76×	`neg-mul-1_binary64`
72×	`sqr-pow_binary64`
71×	`div-sub_binary64`
59×	`unsub-neg_binary64`
43×	`associate-/r/_binary64`
32×	`exp-prod_binary64`
27×	`distribute-neg-in_binary64`
20×	`exp-sum_binary64`
19×	`log-prod_binary64` `mul-1-neg_binary64` `associate-/l/_binary64`
18×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
15×	`distribute-rgt-in_binary64`
14×	`distribute-lft-in_binary64`
13×	`swap-sqr_binary64`
12×	`log-div_binary64` `distribute-neg-frac_binary64`
11×	`exp-diff_binary64` `cube-prod_binary64`
10×	`unpow1/3_binary64` `cube-unmult_binary64`
6×	`*-rgt-identity_binary64` `pow-sqr_binary64`
5×	`cube-div_binary64` `difference-of-squares_binary64`
4×	`log-pow_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `associate-+l-_binary64`
3×	`log-rec_binary64` `exp-to-pow_binary64` `rem-3cbrt-lft_binary64` `distribute-rgt-out--_binary64`
2×	`remove-double-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+r-_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `-lft-identity_binary64` `-inverses_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `count-2_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`

Counts

240 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	406	8896
1	1093	8037
2	3686	7758
3	5110	7758

prune96.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	160	7	167

Error

0.0b

Counts

167 → 7

Compiler

Compiled 4679 to 1011 computations (78.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(*.f64 t (/.f64 (-.f64 x y) (-.f64 z y)))
4.7b	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))
4.7b	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))
4.7b	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))

rewrite95.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`associate-r_binary64`
26×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow1/3_binary64` `cbrt-div_binary64` `cbrt-prod_binary64` `associate-l_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-/r/_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

14.0ms	(*.f64 t (/.f64 (-.f64 x y) (-.f64 z y)))
9.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))
8.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))
8.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))

Compiler

Compiled 2796 to 331 computations (88.2% saved)

series551.0ms (8.8%)

Error

0.0b

Counts

4 → 88

Calls

4 calls:

139.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))
138.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))
137.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))
78.0ms	(*.f64 t (/.f64 (-.f64 x y) (-.f64 z y)))

Compiler

Compiled 11312 to 5759 computations (49.1% saved)

simplify153.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

345×	`cancel-sign-sub-inv_binary64`
199×	`distribute-rgt-in_binary64`
185×	`exp-sum_binary64`
183×	`associate-/l*_binary64`
182×	`sub-neg_binary64`
180×	`distribute-lft-in_binary64`
176×	`associate-r_binary64`
168×	`associate-l_binary64`
133×	`*-commutative_binary64`
121×	`distribute-rgt-neg-in_binary64`
117×	`distribute-lft-neg-in_binary64`
112×	`times-frac_binary64`
97×	`associate-*r/_binary64`
89×	`exp-prod_binary64`
80×	`distribute-neg-frac_binary64`
73×	`unswap-sqr_binary64`
72×	`sqr-pow_binary64`
70×	`associate-/r*_binary64` `+-commutative_binary64`
66×	`div-sub_binary64`
64×	`exp-diff_binary64`
61×	`neg-sub0_binary64`
57×	`associate-*l/_binary64`
56×	`neg-mul-1_binary64`
53×	`associate--l+_binary64`
46×	`log-prod_binary64`
42×	`unsub-neg_binary64`
40×	`associate--r+_binary64`
36×	`*-rgt-identity_binary64`
34×	`*-lft-identity_binary64`
32×	`distribute-neg-in_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64`
28×	`/-rgt-identity_binary64`
27×	`associate-/r/_binary64`
26×	`associate-/l/_binary64`
25×	`log-div_binary64`
23×	`unpow1/3_binary64`
21×	`distribute-rgt-out_binary64`
19×	`distribute-lft-neg-out_binary64`
18×	`exp-neg_binary64`
17×	`distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
16×	`distribute-lft-out--_binary64`
14×	`distribute-rgt-out--_binary64`
11×	`exp-to-pow_binary64`
10×	`unpow3_binary64`
9×	`cube-unmult_binary64` `swap-sqr_binary64`
8×	`log-pow_binary64` `pow-sqr_binary64`
7×	`cube-prod_binary64` `mul-1-neg_binary64` `associate-+l-_binary64`
6×	`pow-plus_binary64`
5×	`log-rec_binary64` `cube-div_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64`
4×	`unpow1/2_binary64` `prod-exp_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
2×	`remove-double-neg_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `*-inverses_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

168 → 139

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	271	4304
1	755	4039
2	2637	3789
3	4613	3729
4	4980	3729

prune74.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	138	8	146

Error

0.0b

Counts

146 → 8

Compiler

Compiled 4106 to 770 computations (81.2% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.0b	(*.f64 t (/.f64 (-.f64 x y) (-.f64 z y)))
4.7b	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))
4.7b	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))
4.7b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) (cbrt.f64 t))))

rewrite111.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`associate-r_binary64`
26×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow1/3_binary64` `cbrt-div_binary64` `cbrt-prod_binary64` `associate-l_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-/r/_binary64`
1×	`associate-l/_binary64` `pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) (cbrt.f64 t))))
14.0ms	(*.f64 t (/.f64 (-.f64 x y) (-.f64 z y)))
11.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))
9.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))

Compiler

Compiled 3307 to 391 computations (88.2% saved)

series565.0ms (9.1%)

Error

0.0b

Counts

4 → 88

Calls

4 calls:

141.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))
139.0ms	(cbrt.f64 (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) (cbrt.f64 t))))
139.0ms	(cbrt.f64 (*.f64 t (/.f64 (-.f64 x y) (-.f64 z y))))
83.0ms	(*.f64 t (/.f64 (-.f64 x y) (-.f64 z y)))

Compiler

Compiled 12383 to 6286 computations (49.2% saved)

simplify192.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

345×	`cancel-sign-sub-inv_binary64`
214×	`distribute-rgt-in_binary64`
193×	`distribute-lft-in_binary64`
190×	`associate-r_binary64`
184×	`associate-/l*_binary64`
182×	`sub-neg_binary64` `associate-l_binary64`
139×	`*-commutative_binary64`
121×	`distribute-rgt-neg-in_binary64`
117×	`distribute-lft-neg-in_binary64`
112×	`times-frac_binary64`
99×	`associate-*r/_binary64`
98×	`exp-prod_binary64`
80×	`distribute-neg-frac_binary64`
79×	`unswap-sqr_binary64`
73×	`sqr-pow_binary64`
70×	`associate-/r*_binary64` `+-commutative_binary64`
68×	`div-sub_binary64`
64×	`exp-diff_binary64`
62×	`log-prod_binary64`
61×	`neg-sub0_binary64`
58×	`associate-*l/_binary64`
56×	`neg-mul-1_binary64`
53×	`associate--l+_binary64`
48×	`exp-sum_binary64`
42×	`unsub-neg_binary64`
40×	`associate--r+_binary64`
36×	`*-rgt-identity_binary64`
34×	`*-lft-identity_binary64`
32×	`distribute-neg-in_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64`
31×	`log-pow_binary64`
28×	`/-rgt-identity_binary64`
27×	`associate-/r/_binary64`
26×	`associate-/l/_binary64`
25×	`log-div_binary64`
23×	`unpow1/3_binary64`
21×	`distribute-rgt-out_binary64`
20×	`distribute-lft-neg-out_binary64`
18×	`distribute-rgt-neg-out_binary64`
17×	`associate-+r+_binary64`
16×	`distribute-lft-out--_binary64`
14×	`distribute-rgt-out--_binary64`
12×	`cube-unmult_binary64`
11×	`unpow3_binary64` `exp-to-pow_binary64`
9×	`pow-sqr_binary64` `swap-sqr_binary64`
7×	`cube-prod_binary64` `mul-1-neg_binary64` `associate-+l-_binary64`
6×	`pow-plus_binary64`
5×	`log-rec_binary64` `prod-exp_binary64` `cube-div_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64`
4×	`unpow1/2_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `cube-mult_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
2×	`exp-neg_binary64` `remove-double-neg_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `*-inverses_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

168 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	287	4604
1	781	4239
2	2704	3797
3	4749	3737
4	4987	3737
5	4964	3737

prune74.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	140	8	148

Error

0.0b

Counts

148 → 8

Compiler

Compiled 4551 to 738 computations (83.8% saved)

regimes898.0ms (14.4%)

Accuracy

Total 1.0b remaining (98.1%)

Threshold costs 0b (0%)

Compiler

Compiled 14347 to 8550 computations (40.4% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	20	49
2	26	49
3	28	49
4	29	49
5	29	49

end1.0ms (0%)

Compiler: Compiled 31 to 14 computations (54.8% saved)

sample950.0ms (15.2%)

Algorithm

1×

intervals

Results

467.0ms	8000×	body	128	valid
17.0ms	601×	body	128	invalid

Compiler

Compiled 202 to 121 computations (40.1% saved)

Details

analyze678.0ms (10.9%)

sample21.0ms (0.3%)

simplify273.0ms (4.4%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite99.0ms (1.6%)

series145.0ms (2.3%)

simplify130.0ms (2.1%)

prune65.0ms (1%)

localize15.0ms (0.2%)

rewrite173.0ms (2.8%)

series619.0ms (9.9%)

simplify208.0ms (3.3%)

prune96.0ms (1.5%)

localize14.0ms (0.2%)

rewrite95.0ms (1.5%)

series551.0ms (8.8%)

simplify153.0ms (2.5%)

prune74.0ms (1.2%)

localize19.0ms (0.3%)

rewrite111.0ms (1.8%)

series565.0ms (9.1%)

simplify192.0ms (3.1%)

prune74.0ms (1.2%)

regimes898.0ms (14.4%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample950.0ms (15.2%)

Profiling