Details

analyze1.1s (23.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

869×	`swap-sqr_binary64`
585×	`associate-/l*_binary64`
514×	`associate-/r/_binary64`
504×	`associate-/l/_binary64`
470×	`cube-div_binary64`
350×	`associate-/r*_binary64`
329×	`cube-prod_binary64`
314×	`associate-*l/_binary64`
288×	`associate-r_binary64`
286×	`associate-*r/_binary64`
255×	`associate-l_binary64`
71×	`*-commutative_binary64`
36×	`/-rgt-identity_binary64`
30×	`sqr-pow_binary64`
28×	`unpow3_binary64`
26×	`cube-mult_binary64`
25×	`times-frac_binary64`
19×	`*-lft-identity_binary64`
17×	`lft-mult-inverse_binary64`
16×	`*-rgt-identity_binary64`
10×	`remove-double-div_binary64`
9×	`*-inverses_binary64`
2×	`cube-unmult_binary64`
1×	`1-exp_binary64` `swap-x-y`
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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	91
1	84	70
2	203	49
3	463	49
4	2925	49
5	2805	49
6	3441	49
7	5141	49
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
0%	99.8%	0.2%	8
5.8%	94%	0.2%	9
7.6%	92.2%	0.2%	10
11.6%	88.2%	0.2%	11
18.5%	81.3%	0.2%	12
32.3%	66.9%	0.8%	13
37%	62.2%	0.8%	14

Symmetry

(sort x y)

Compiler

Compiled 10 to 9 computations (10% saved)

sample30.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	47×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify209.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1483×	`associate-/l/_binary64`
1068×	`associate-/l*_binary64`
1015×	`associate-/r/_binary64`
675×	`*-commutative_binary64`
404×	`sqr-pow_binary64`
381×	`cube-prod_binary64`
307×	`pow-sqr_binary64`
268×	`times-frac_binary64`
190×	`associate-*l/_binary64`
164×	`associate-*r/_binary64`
137×	`associate-r_binary64`
136×	`associate-/r*_binary64`
122×	`unpow3_binary64` `cube-mult_binary64`
100×	`associate-l_binary64`
94×	`remove-double-div_binary64`
78×	`swap-sqr_binary64`
52×	`cube-div_binary64` `/-rgt-identity_binary64`
49×	`unswap-sqr_binary64`
44×	`*-lft-identity_binary64`
25×	`*-rgt-identity_binary64`
17×	`pow-plus_binary64`
10×	`unpow2_binary64`
7×	`unpow1_binary64` `rem-sqrt-square_binary64`
5×	`unpow1/2_binary64`
4×	`*-inverses_binary64`
3×	`lft-mult-inverse_binary64`
1×	`1-exp_binary64` `cube-unmult_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` `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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	10
2	41	7
3	91	7
4	366	7
5	1228	7
6	1212	7
7	1225	7
8	1238	7
9	1245	7
10	1252	7
11	1259	7
12	1266	7
13	1273	7
14	1280	7
15	1287	7
16	1294	7
17	1301	7
18	1308	7
19	1315	7
20	1322	7
21	3032	7
22	2753	7
23	2781	7
24	2833	7
25	2977	7
26	3074	7
27	3494	7
28	3741	7
29	4030	7
30	4469	7
31	5023	7

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

5.3b

Counts

2 → 1

Compiler

Compiled 10 to 12 computations (-20% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.1b	(*.f64 x (/.f64 y z))

rewrite43.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-l_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 x (/.f64 y z))

Compiler

Compiled 359 to 117 computations (67.4% saved)

series26.0ms (0.6%)

Error

5.3b

Counts

1 → 9

Calls

1 calls:

25.0ms

(*.f64 x (/.f64 y z))

Compiler

Compiled 95 to 114 computations (-20% saved)

simplify117.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

830×	`unsub-neg_binary64`
432×	`associate-/l/_binary64`
373×	`distribute-rgt-in_binary64`
332×	`sub-neg_binary64`
317×	`associate-/r*_binary64`
301×	`associate--l+_binary64`
296×	`cancel-sign-sub-inv_binary64`
288×	`associate-/r/_binary64`
246×	`sqr-pow_binary64`
238×	`*-commutative_binary64`
225×	`associate-l_binary64`
204×	`distribute-neg-in_binary64`
189×	`associate-*r/_binary64`
180×	`associate-*l/_binary64`
176×	`associate-/l*_binary64`
173×	`associate-+l-_binary64`
171×	`associate-r_binary64`
133×	`unswap-sqr_binary64`
122×	`neg-sub0_binary64`
117×	`pow-sqr_binary64`
116×	`neg-mul-1_binary64`
93×	`rem-sqrt-square_binary64` `times-frac_binary64`
90×	`associate--r-_binary64`
87×	`associate--l-_binary64`
86×	`associate-+l+_binary64`
81×	`*-rgt-identity_binary64`
73×	`associate-+r-_binary64`
71×	`distribute-neg-out_binary64`
67×	`*-lft-identity_binary64`
59×	`associate-+r+_binary64`
55×	`distribute-lft-in_binary64`
35×	`associate--r+_binary64`
27×	`distribute-rgt-neg-in_binary64`
26×	`+-rgt-identity_binary64`
25×	`distribute-lft-neg-out_binary64`
24×	`cancel-sign-sub_binary64` `+-commutative_binary64`
23×	`log-prod_binary64` `exp-prod_binary64`
22×	`distribute-lft-neg-in_binary64`
21×	`cube-div_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
20×	`log-div_binary64`
18×	`cube-prod_binary64`
17×	`swap-sqr_binary64` `distribute-lft-out--_binary64`
16×	`distribute-rgt-out_binary64`
13×	`remove-double-neg_binary64`
10×	`distribute-rgt-neg-out_binary64`
8×	`distribute-lft-out_binary64`
7×	`unpow3_binary64`
6×	`unpow1/2_binary64` `cube-mult_binary64` `distribute-rgt1-in_binary64`
5×	`cube-unmult_binary64` `mul-1-neg_binary64` `sub0-neg_binary64`
4×	`log-rec_binary64` `--rgt-identity_binary64` `remove-double-div_binary64`
3×	`distribute-lft1-in_binary64`
2×	`+-lft-identity_binary64` `+-inverses_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64`

Counts

41 → 19

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	435
1	160	390
2	522	390
3	1386	390
4	2367	390
5	2683	390
6	3714	390
7	4083	390
8	4550	390
9	4985	390

prune17.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	12	7	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	8	20

Error

0.0b

Counts

20 → 8

Compiler

Compiled 214 to 109 computations (49.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.1b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 y z) (cbrt.f64 x)))
3.2b	(*.f64 (/.f64 y z) (cbrt.f64 x))

rewrite91.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-exp-log_binary64`
25×	`add-sqr-sqrt_binary64`
18×	`pow1_binary64` `add-cbrt-cube_binary64`
15×	`prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `*-un-lft-identity_binary64`
14×	`associate-l_binary64`
11×	`cbrt-prod_binary64` `times-frac_binary64`
9×	`pow-prod-down_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64`
2×	`associate-l/_binary64` `-commutative_binary64` `pow1/3_binary64`
1×	`div-inv_binary64` `associate-*r/_binary64`

Counts

4 → 86

Calls

4 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 y z) (cbrt.f64 x)))
8.0ms	(*.f64 (/.f64 y z) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1499 to 291 computations (80.6% saved)

series139.0ms (3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

67.0ms	(*.f64 (/.f64 y z) (cbrt.f64 x))
31.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 y z) (cbrt.f64 x)))
18.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)

Compiler

Compiled 634 to 541 computations (14.7% saved)

simplify150.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

399×	`associate-*r/_binary64`
397×	`associate-*l/_binary64`
347×	`log-prod_binary64`
316×	`unswap-sqr_binary64`
312×	`*-commutative_binary64`
258×	`associate-/l*_binary64`
212×	`log-div_binary64`
175×	`associate-l_binary64`
147×	`associate-r_binary64`
103×	`distribute-rgt-neg-in_binary64`
90×	`sqr-pow_binary64`
84×	`distribute-lft-neg-in_binary64`
82×	`associate-/r*_binary64`
81×	`cube-div_binary64`
78×	`cube-prod_binary64`
72×	`cancel-sign-sub-inv_binary64`
71×	`exp-prod_binary64`
68×	`times-frac_binary64`
63×	`distribute-rgt-in_binary64`
58×	`distribute-lft-in_binary64`
49×	`associate--l+_binary64`
48×	`distribute-rgt-neg-out_binary64`
45×	`swap-sqr_binary64`
44×	`distribute-lft-neg-out_binary64`
42×	`sub-neg_binary64` `associate-+l-_binary64`
38×	`distribute-neg-frac_binary64` `associate-/r/_binary64` `associate-+r-_binary64`
32×	`associate--r+_binary64`
28×	`div-sub_binary64`
27×	`neg-sub0_binary64` `associate-+r+_binary64`
26×	`associate-+l+_binary64`
22×	`*-rgt-identity_binary64` `associate-/l/_binary64`
21×	`*-lft-identity_binary64`
20×	`neg-mul-1_binary64` `distribute-neg-in_binary64`
15×	`/-rgt-identity_binary64` `pow-sqr_binary64`
14×	`log-pow_binary64`
13×	`unpow3_binary64` `distribute-frac-neg_binary64`
12×	`cube-mult_binary64`
11×	`cube-unmult_binary64` `+-commutative_binary64`
10×	`log-rec_binary64` `associate--l-_binary64`
8×	`pow-plus_binary64`
7×	`associate--r-_binary64`
6×	`unsub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64`
4×	`rem-sqrt-square_binary64`
3×	`+-rgt-identity_binary64`
2×	`unpow1/3_binary64` `exp-diff_binary64` `cube-neg_binary64` `sqr-neg_binary64` `div0_binary64` `distribute-rgt-out--_binary64`
1×	`unpow1/2_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `distribute-lft-out--_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` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

110 → 80

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	125	1546
1	296	1019
2	918	1019
3	2767	1019
4	4654	1019
5	4989	1019
6	4999	1019
7	4973	1019

prune34.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	79	9	88

Error

0.0b

Counts

88 → 9

Compiler

Compiled 735 to 252 computations (65.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.8b	(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 y) z))
2.1b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 y) z))))

rewrite156.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

173×	`add-exp-log_binary64`
112×	`prod-exp_binary64`
68×	`cbrt-unprod_binary64`
60×	`add-cbrt-cube_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`div-exp_binary64`
27×	`pow1_binary64`
23×	`associate-r_binary64` `cbrt-prod_binary64`
22×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`cbrt-undiv_binary64`
16×	`pow-prod-down_binary64`
12×	`1-exp_binary64`
7×	`associate-r/_binary64` `associate-l*_binary64`
6×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64`
2×	`*-commutative_binary64` `pow1/3_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64` `div-inv_binary64`

Counts

4 → 141

Calls

4 calls:

22.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 y) z))))
11.0ms	(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 y) z))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 4137 to 980 computations (76.3% saved)

series162.0ms (3.4%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

78.0ms	(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 y) z))
38.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) 1) (*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 y) z))))
19.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)

Compiler

Compiled 1128 to 845 computations (25.1% saved)

simplify159.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

440×	`log-prod_binary64`
371×	`times-frac_binary64`
355×	`associate-l_binary64`
354×	`associate-r_binary64`
305×	`log-div_binary64`
266×	`associate-/l/_binary64`
243×	`associate-/r*_binary64`
196×	`exp-prod_binary64`
159×	`associate-/r/_binary64`
149×	`*-commutative_binary64`
133×	`associate--l+_binary64`
131×	`unswap-sqr_binary64`
109×	`associate-/l*_binary64`
107×	`associate-*r/_binary64`
86×	`associate-*l/_binary64`
81×	`sub-neg_binary64`
77×	`associate--l-_binary64`
67×	`swap-sqr_binary64`
58×	`associate--r-_binary64`
46×	`associate-+r+_binary64`
44×	`sqr-pow_binary64`
42×	`distribute-rgt-neg-in_binary64`
40×	`distribute-lft-neg-in_binary64`
36×	`unpow3_binary64` `associate-+l+_binary64`
34×	`cancel-sign-sub-inv_binary64`
33×	`cube-prod_binary64`
31×	`*-lft-identity_binary64`
30×	`*-rgt-identity_binary64`
27×	`+-commutative_binary64`
26×	`log-pow_binary64`
22×	`distribute-rgt-in_binary64`
21×	`log-rec_binary64` `associate-+l-_binary64`
20×	`exp-sum_binary64`
19×	`distribute-lft-in_binary64`
17×	`cube-div_binary64` `neg-sub0_binary64`
13×	`neg-mul-1_binary64` `/-rgt-identity_binary64` `distribute-neg-in_binary64`
11×	`cube-unmult_binary64` `associate-+r-_binary64`
9×	`unpow1/3_binary64` `distribute-neg-frac_binary64`
8×	`pow-plus_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64`
7×	`distribute-neg-out_binary64` `distribute-lft-neg-out_binary64`
6×	`div-sub_binary64` `mul-1-neg_binary64` `distribute-rgt-neg-out_binary64`
5×	`sub0-neg_binary64` `--rgt-identity_binary64` `count-2_binary64`
4×	`exp-diff_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `associate--r+_binary64`
3×	`rem-sqrt-square_binary64` `distribute-rgt-out_binary64`
2×	`exp-to-pow_binary64` `rem-3cbrt-lft_binary64` `distribute-lft-out--_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-mult_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_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` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64`

Counts

165 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	270	4464
1	546	1797
2	2046	1761
3	4444	1754
4	4814	1754
5	5054	1754

prune34.0ms (0.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	114	9	123

Error

0.0b

Counts

123 → 9

Compiler

Compiled 929 to 340 computations (63.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.1b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 (cbrt.f64 x) y) z))
2.8b	(/.f64 (*.f64 (cbrt.f64 x) y) z)

rewrite77.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-exp-log_binary64`
21×	`add-cbrt-cube_binary64`
12×	`prod-exp_binary64` `cbrt-unprod_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`pow1_binary64`
7×	`associate-r_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r*_binary64` `pow-prod-down_binary64`
2×	`div-inv_binary64` `pow1/3_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `unswap-sqr_binary64` `associate-r/_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

11.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 (cbrt.f64 x) y) z))
5.0ms	(/.f64 (*.f64 (cbrt.f64 x) y) z)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1343 to 255 computations (81% saved)

series135.0ms (2.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

63.0ms	(/.f64 (*.f64 (cbrt.f64 x) y) z)
30.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (*.f64 (cbrt.f64 x) y) z))
19.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 x)

Compiler

Compiled 634 to 544 computations (14.2% saved)

simplify106.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

751×	`times-frac_binary64`
328×	`*-commutative_binary64`
318×	`log-prod_binary64`
293×	`associate-/r*_binary64`
291×	`associate-/l/_binary64`
282×	`unswap-sqr_binary64`
226×	`log-div_binary64`
184×	`associate-l_binary64`
181×	`associate-/r/_binary64`
137×	`cube-prod_binary64`
126×	`associate-r_binary64`
114×	`cube-div_binary64`
101×	`sub-neg_binary64`
98×	`exp-prod_binary64`
91×	`unpow3_binary64`
87×	`sqr-pow_binary64`
77×	`associate-/l*_binary64`
69×	`associate-l/_binary64` `associate-r/_binary64`
34×	`associate-+l+_binary64`
32×	`distribute-rgt-neg-in_binary64`
31×	`associate-+r+_binary64`
30×	`neg-sub0_binary64`
29×	`/-rgt-identity_binary64`
28×	`*-lft-identity_binary64` `distribute-lft-neg-in_binary64`
27×	`*-rgt-identity_binary64`
24×	`div-sub_binary64` `neg-mul-1_binary64`
22×	`associate-+l-_binary64`
19×	`swap-sqr_binary64`
18×	`cube-mult_binary64`
17×	`distribute-neg-frac_binary64` `+-commutative_binary64`
16×	`associate-+r-_binary64`
12×	`log-pow_binary64` `pow-sqr_binary64` `cancel-sign-sub-inv_binary64`
11×	`log-rec_binary64` `cube-unmult_binary64` `associate--l+_binary64`
10×	`associate--l-_binary64`
7×	`pow-plus_binary64`
6×	`remove-double-neg_binary64`
5×	`unsub-neg_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64`
4×	`rem-sqrt-square_binary64` `div0_binary64`
3×	`associate--r+_binary64`
2×	`unpow1/3_binary64` `exp-diff_binary64` `cube-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64`
1×	`unpow1/2_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `remove-double-div_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_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` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`

Counts

99 → 71

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1059
1	273	873
2	1095	867
3	3528	867
4	4691	867
5	4959	867

prune20.0ms (0.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	70	10	80

Error

0.0b

Counts

80 → 10

Compiler

Compiled 436 to 123 computations (71.8% saved)

regimes666.0ms (14.2%)

Accuracy

Total 2.1b remaining (98.3%)

Threshold costs 0b (0%)

Compiler

Compiled 4574 to 3447 computations (24.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_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 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	14	31
2	14	31

end7.0ms (0.1%)

Compiler: Compiled 57 to 36 computations (36.8% saved)

sample1.2s (24.9%)

Algorithm

1×

intervals

Results

290.0ms	8000×	body	128	valid
59.0ms	1521×	body	128	invalid

Compiler

Compiled 217 to 160 computations (26.3% saved)

Details

analyze1.1s (23.7%)

sample30.0ms (0.6%)

simplify209.0ms (4.4%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

rewrite43.0ms (0.9%)

series26.0ms (0.6%)

simplify117.0ms (2.5%)

prune17.0ms (0.4%)

localize9.0ms (0.2%)

rewrite91.0ms (1.9%)

series139.0ms (3%)

simplify150.0ms (3.2%)

prune34.0ms (0.7%)

localize14.0ms (0.3%)

rewrite156.0ms (3.3%)

series162.0ms (3.4%)

simplify159.0ms (3.4%)

prune34.0ms (0.7%)

localize8.0ms (0.2%)

rewrite77.0ms (1.6%)

series135.0ms (2.9%)

simplify106.0ms (2.3%)

prune20.0ms (0.4%)

regimes666.0ms (14.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end7.0ms (0.1%)

sample1.2s (24.9%)

Profiling