Details

analyze618.0ms (12.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

40×	`+-commutative_binary64`
19×	`associate-+l+_binary64` `associate-+r+_binary64`
14×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
13×	`*-commutative_binary64`
12×	`associate-l_binary64`
6×	`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` `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` `1-exp_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` `times-frac_binary64` `div-sub_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` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_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` `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` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	91
1	55	91
2	97	91
3	147	91
4	147	91
5	147	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
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	43×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
4×	`associate-+l+_binary64` `associate-+r+_binary64`
3×	`*-commutative_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l_binary64`
1×	`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` `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` `1-exp_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` `times-frac_binary64` `div-sub_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` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_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` `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` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	21	13
3	30	13
4	30	13
5	30	13

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
3×	`associate-l_binary64` `associate-r_binary64`
2×	`flip3-+_binary64` `associate-*l/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

7.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
6.0ms	(.f64 (+.f64 (.f64 x y) z) y)

Compiler

Compiled 538 to 121 computations (77.5% saved)

series100.0ms (2%)

Error

0.0b

Counts

2 → 45

Calls

2 calls:

55.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
36.0ms	(.f64 (+.f64 (.f64 x y) z) y)

Compiler

Compiled 647 to 608 computations (6% saved)

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

667×	`associate-+l+_binary64`
600×	`associate-+r+_binary64`
369×	`associate-l_binary64`
296×	`associate-r_binary64`
274×	`distribute-rgt-in_binary64`
265×	`distribute-lft-in_binary64`
136×	`unswap-sqr_binary64`
128×	`cancel-sign-sub-inv_binary64`
99×	`distribute-rgt-out_binary64`
85×	`*-commutative_binary64`
82×	`distribute-rgt-neg-in_binary64` `associate--r+_binary64`
68×	`distribute-neg-in_binary64`
62×	`distribute-lft-neg-in_binary64`
55×	`associate--l+_binary64`
52×	`distribute-lft-out_binary64`
48×	`sqr-pow_binary64`
41×	`sub-neg_binary64`
36×	`exp-prod_binary64`
34×	`*-lft-identity_binary64`
29×	`*-rgt-identity_binary64`
26×	`distribute-lft-neg-out_binary64`
25×	`cube-prod_binary64`
23×	`neg-sub0_binary64`
21×	`neg-mul-1_binary64` `associate-+l-_binary64`
20×	`exp-sum_binary64`
19×	`+-commutative_binary64`
16×	`distribute-rgt-neg-out_binary64`
15×	`log-prod_binary64` `associate-+r-_binary64`
14×	`unsub-neg_binary64` `distribute-rgt-out--_binary64`
8×	`unpow3_binary64`
7×	`+-rgt-identity_binary64`
6×	`cube-unmult_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64` `associate-/l*_binary64`
5×	`cube-mult_binary64` `pow-sqr_binary64`
4×	`sub0-neg_binary64` `difference-of-squares_binary64`
2×	`log-pow_binary64` `unpow1/2_binary64` `pow-plus_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate-r/_binary64` `associate--r-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-mul_binary64` `rem-sqrt-square_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-rec_binary64` `log-div_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` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_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` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64` `associate--l-_binary64`

Counts

76 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	1000
1	197	895
2	545	886
3	1911	886
4	5194	886

prune24.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	6	62

Error

0.0b

Counts

62 → 6

Compiler

Compiled 530 to 163 computations (69.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite101.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1419 to 349 computations (75.4% saved)

series77.0ms (1.6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
17.0ms	(cbrt.f64 y)
16.0ms	(cbrt.f64 y)
16.0ms	(cbrt.f64 y)

Compiler

Compiled 596 to 433 computations (27.3% saved)

simplify105.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

850×	`log-prod_binary64`
525×	`unswap-sqr_binary64`
346×	`sqr-pow_binary64`
307×	`distribute-rgt-neg-in_binary64`
298×	`associate-l_binary64`
290×	`distribute-lft-neg-in_binary64`
249×	`*-commutative_binary64`
246×	`distribute-lft-out_binary64`
228×	`exp-prod_binary64`
201×	`associate-r_binary64`
181×	`cube-prod_binary64`
164×	`fabs-mul_binary64`
151×	`swap-sqr_binary64`
137×	`log-pow_binary64`
112×	`cancel-sign-sub-inv_binary64` `distribute-rgt-out_binary64`
103×	`pow-sqr_binary64`
100×	`log-div_binary64`
98×	`associate-/l*_binary64`
77×	`neg-mul-1_binary64`
58×	`neg-sub0_binary64`
57×	`rem-sqrt-square_binary64`
55×	`associate-+l+_binary64`
50×	`associate-+r+_binary64`
48×	`distribute-rgt-in_binary64`
46×	`times-frac_binary64`
45×	`distribute-lft-in_binary64`
43×	`unpow3_binary64`
41×	`associate-/r/_binary64`
39×	`pow-plus_binary64`
35×	`associate-*r/_binary64`
33×	`associate-/r*_binary64`
32×	`associate-/l/_binary64`
28×	`cube-mult_binary64` `+-commutative_binary64`
25×	`sub-neg_binary64`
24×	`fabs-sqr_binary64`
20×	`cube-unmult_binary64` `*-rgt-identity_binary64`
19×	`*-lft-identity_binary64` `count-2_binary64`
17×	`cube-div_binary64` `fabs-div_binary64` `distribute-neg-frac_binary64`
16×	`distribute-rgt1-in_binary64`
9×	`associate-*l/_binary64`
8×	`unpow1/2_binary64`
7×	`distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64`
6×	`unpow2_binary64`
5×	`unpow1_binary64` `distribute-lft-neg-out_binary64`
4×	`rem-cbrt-cube_binary64` `mul-1-neg_binary64`
3×	`unpow1/3_binary64`
2×	`exp-sqrt_binary64` `rem-3cbrt-lft_binary64` `fabs-fabs_binary64`
1×	`log-rec_binary64` `exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_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` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_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-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `+-lft-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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64`

Counts

85 → 60

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	642
1	97	594
2	309	574
3	800	560
4	1864	436
5	2894	436
6	4605	436
7	4971	436

prune30.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	60	6	66

Error

0.0b

Counts

66 → 6

Compiler

Compiled 600 to 242 computations (59.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 z (.f64 y x)))) (cbrt.f64 (.f64 y (+.f64 z (*.f64 y x)))))
5.9b	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
5.9b	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
5.9b	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))

rewrite112.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 z (.f64 y x)))) (cbrt.f64 (.f64 y (+.f64 z (*.f64 y x)))))
6.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
4.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
4.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))

Compiler

Compiled 2626 to 361 computations (86.3% saved)

series375.0ms (7.6%)

Error

0.0b

Counts

4 → 69

Calls

4 calls:

89.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 z (.f64 y x)))) (cbrt.f64 (.f64 y (+.f64 z (*.f64 y x)))))
72.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
70.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
70.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))

Compiler

Compiled 7870 to 5030 computations (36.1% saved)

simplify175.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

439×	`times-frac_binary64`
403×	`*-commutative_binary64`
386×	`associate-/l*_binary64`
279×	`associate-/r*_binary64`
207×	`exp-prod_binary64`
151×	`associate-r_binary64`
141×	`distribute-rgt-in_binary64`
135×	`associate-*l/_binary64`
130×	`distribute-lft-in_binary64`
121×	`associate-*r/_binary64`
115×	`exp-diff_binary64` `associate-/r/_binary64` `associate-l_binary64`
110×	`unswap-sqr_binary64`
93×	`sqr-pow_binary64`
64×	`log-prod_binary64`
61×	`cancel-sign-sub-inv_binary64`
60×	`exp-sum_binary64`
52×	`sub-neg_binary64`
51×	`distribute-rgt-neg-in_binary64`
49×	`log-pow_binary64`
46×	`distribute-lft-neg-in_binary64`
42×	`exp-to-pow_binary64`
41×	`associate-+r-_binary64`
39×	`+-commutative_binary64`
36×	`neg-sub0_binary64`
33×	`neg-mul-1_binary64`
30×	`distribute-lft-neg-out_binary64`
29×	`exp-neg_binary64`
26×	`unpow1/3_binary64`
25×	`distribute-rgt-neg-out_binary64` `associate-+r+_binary64`
22×	`associate-+l-_binary64` `associate-+l+_binary64`
20×	`associate--l+_binary64`
19×	`unsub-neg_binary64`
16×	`exp-lft-sqr_binary64` `associate--r-_binary64`
15×	`associate-/l/_binary64`
14×	`pow-sqr_binary64`
13×	`distribute-neg-out_binary64`
12×	`log-div_binary64` `cube-prod_binary64` `div-sub_binary64`
11×	`pow-plus_binary64`
10×	`distribute-neg-in_binary64` `distribute-lft-out_binary64`
9×	`unpow3_binary64`
8×	`*-rgt-identity_binary64` `swap-sqr_binary64`
7×	`fabs-mul_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
6×	`associate--r+_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64`
4×	`unpow1_binary64` `cube-unmult_binary64` `cube-mult_binary64` `associate--l-_binary64`
3×	`log-rec_binary64` `mul-1-neg_binary64`
2×	`rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `cancel-sign-sub_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `fabs-sqr_binary64` `rem-square-sqrt_binary64` `difference-of-squares_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_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` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

141 → 111

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	252	3851
1	662	3667
2	1583	3402
3	4531	3137
4	4980	3137
5	4984	3137

prune93.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	110	7	117

Error

0.0b

Counts

117 → 7

Compiler

Compiled 2851 to 874 computations (69.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(pow.f64 (cbrt.f64 (.f64 y (+.f64 z (.f64 y x)))) 6)
5.9b	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
5.9b	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
30.1b	(cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 z (.f64 y x)))) 6))

rewrite88.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64` `unpow-prod-down_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`pow1/3_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-*r/_binary64` `cbrt-div_binary64`
3×	`pow-unpow_binary64`
2×	`sqr-pow_binary64` `flip3-+_binary64` `flip-+_binary64` `pow-pow_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 57

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
4.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
3.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 z (.f64 y x)))) 6))
3.0ms	(pow.f64 (cbrt.f64 (.f64 y (+.f64 z (.f64 y x)))) 6)

Compiler

Compiled 1681 to 468 computations (72.2% saved)

series1.0s (20.8%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

727.0ms	(pow.f64 (cbrt.f64 (.f64 y (+.f64 z (.f64 y x)))) 6)
86.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 z (.f64 y x)))) 6))
76.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))
52.0ms	(cbrt.f64 (.f64 y (+.f64 z (.f64 y x))))

Compiler

Compiled 7416 to 5591 computations (24.6% saved)

simplify114.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

887×	`associate-/r*_binary64`
307×	`unswap-sqr_binary64`
244×	`associate-/r/_binary64`
205×	`associate-r_binary64`
183×	`*-commutative_binary64`
161×	`associate-/l*_binary64`
157×	`times-frac_binary64`
149×	`sqr-pow_binary64`
142×	`associate-l_binary64`
124×	`distribute-rgt-in_binary64`
114×	`distribute-lft-in_binary64`
79×	`associate-/l/_binary64`
74×	`exp-prod_binary64`
67×	`+-commutative_binary64`
64×	`exp-sum_binary64`
61×	`associate-l/_binary64` `associate-r/_binary64`
60×	`cancel-sign-sub-inv_binary64`
54×	`log-prod_binary64`
53×	`distribute-rgt-neg-in_binary64`
52×	`sub-neg_binary64`
48×	`distribute-lft-neg-in_binary64`
38×	`swap-sqr_binary64`
36×	`neg-sub0_binary64`
33×	`neg-mul-1_binary64`
32×	`cube-prod_binary64`
30×	`pow-sqr_binary64` `distribute-lft-neg-out_binary64`
25×	`distribute-rgt-neg-out_binary64`
20×	`associate-+l+_binary64`
19×	`unsub-neg_binary64`
18×	`unpow1/3_binary64` `unpow3_binary64` `cube-mult_binary64`
16×	`log-pow_binary64`
14×	`distribute-lft-out_binary64` `associate-+r+_binary64`
13×	`distribute-neg-out_binary64` `distribute-rgt-out_binary64`
12×	`exp-diff_binary64` `div-sub_binary64`
10×	`/-rgt-identity_binary64` `distribute-neg-in_binary64`
8×	`fabs-mul_binary64`
7×	`remove-double-neg_binary64` `distribute-rgt-out--_binary64`
6×	`log-div_binary64` `cube-unmult_binary64` `mul-1-neg_binary64` `*-rgt-identity_binary64`
5×	`unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `unpow1_binary64` `prod-exp_binary64`
4×	`unpow2_binary64` `rem-cube-cbrt_binary64` `associate--r-_binary64`
3×	`log-rec_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64` `associate--l+_binary64`
2×	`rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `cancel-sign-sub_binary64` `count-2_binary64`
1×	`exp-lft-sqr_binary64` `1-exp_binary64` `fabs-sqr_binary64` `difference-of-squares_binary64` `distribute-rgt1-in_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` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `fabs-div_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` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

129 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	3775
1	894	3581
2	2325	3281
3	5695	3281

prune80.0ms (1.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	3	3
Picked	1	0	1
Done	0	3	3
Total	100	7	107

Error

Counts

107 → 7

Compiler

Compiled 2142 to 922 computations (57% saved)

regimes824.0ms (16.7%)

Accuracy

Total 0.0b remaining (68.5%)

Threshold costs 0.0b (68.5%)

Compiler

Compiled 9016 to 5606 computations (37.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64 +-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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	13	13

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample805.0ms (16.3%)

Algorithm

1×

intervals

Results

248.0ms	8000×	body	128	valid
62.0ms	1848×	body	128	invalid

Compiler

Compiled 153 to 99 computations (35.3% saved)

Details

analyze618.0ms (12.6%)

sample21.0ms (0.4%)

simplify10.0ms (0.2%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite38.0ms (0.8%)

series100.0ms (2%)

simplify61.0ms (1.2%)

prune24.0ms (0.5%)

localize11.0ms (0.2%)

rewrite101.0ms (2%)

series77.0ms (1.6%)

simplify105.0ms (2.1%)

prune30.0ms (0.6%)

localize11.0ms (0.2%)

rewrite112.0ms (2.3%)

series375.0ms (7.6%)

simplify175.0ms (3.5%)

prune93.0ms (1.9%)

localize13.0ms (0.3%)

rewrite88.0ms (1.8%)

series1.0s (20.8%)

simplify114.0ms (2.3%)

prune80.0ms (1.6%)

regimes824.0ms (16.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample805.0ms (16.3%)

Profiling