Details

analyze223.0ms (5.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

478×	`sub-neg_binary64`
434×	`distribute-rgt-in_binary64` `associate-+l+_binary64`
406×	`associate-l_binary64`
374×	`associate-+r+_binary64`
354×	`associate--l+_binary64`
350×	`*-commutative_binary64`
326×	`associate-r_binary64`
291×	`distribute-lft-in_binary64`
286×	`distribute-rgt-out_binary64`
280×	`neg-mul-1_binary64`
244×	`unsub-neg_binary64`
194×	`neg-sub0_binary64`
142×	`associate-+l-_binary64`
130×	`+-commutative_binary64`
119×	`distribute-rgt-neg-out_binary64`
118×	`distribute-lft-neg-out_binary64`
112×	`distribute-lft-out_binary64`
93×	`cancel-sign-sub-inv_binary64`
84×	`associate-+r-_binary64`
58×	`associate--r+_binary64`
40×	`distribute-rgt-neg-in_binary64`
38×	`unswap-sqr_binary64`
29×	`distribute-lft-neg-in_binary64`
22×	`associate--r-_binary64`
20×	`*-rgt-identity_binary64`
19×	`*-lft-identity_binary64`
18×	`distribute-neg-in_binary64`
14×	`sqr-pow_binary64`
8×	`difference-of-sqr--1_binary64`
7×	`pow-plus_binary64`
6×	`mul0-rgt_binary64` `mul0-lft_binary64` `swap-sqr_binary64` `distribute-lft1-in_binary64`
5×	`cube-unmult_binary64` `fabs-mul_binary64`
4×	`difference-of-sqr-1_binary64`
3×	`cube-prod_binary64`
2×	`unpow2_binary64` `fabs-sqr_binary64` `mul-1-neg_binary64` `sub0-neg_binary64`
1×	`unpow3_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `distribute-rgt1-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` `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-mult_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-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-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--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	92
1	100	92
2	254	92
3	765	92
4	2201	92
5	4209	92
6	4981	92
7	5016	92
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

669×	`unsub-neg_binary64`
596×	`cancel-sign-sub-inv_binary64`
373×	`neg-mul-1_binary64` `neg-sub0_binary64`
340×	`+-commutative_binary64`
277×	`sub-neg_binary64`
242×	`distribute-rgt-neg-in_binary64`
232×	`associate-+l+_binary64`
220×	`*-commutative_binary64`
212×	`associate-l_binary64`
192×	`associate-+r+_binary64`
188×	`associate--l+_binary64`
185×	`associate-r_binary64`
174×	`distribute-rgt-in_binary64`
149×	`distribute-rgt-out_binary64`
147×	`distribute-lft-in_binary64`
146×	`distribute-neg-in_binary64`
134×	`distribute-lft-neg-out_binary64`
113×	`distribute-rgt-neg-out_binary64`
84×	`unswap-sqr_binary64`
72×	`associate-+l-_binary64`
66×	`cancel-sign-sub_binary64`
45×	`associate-+r-_binary64`
38×	`distribute-lft-out_binary64` `associate--r+_binary64`
27×	`*-rgt-identity_binary64`
26×	`distribute-lft-neg-in_binary64`
20×	`*-lft-identity_binary64`
19×	`sqr-pow_binary64`
11×	`associate--r-_binary64`
10×	`sub0-neg_binary64`
9×	`pow-plus_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
8×	`+-rgt-identity_binary64` `difference-of-sqr--1_binary64`
6×	`cube-unmult_binary64` `swap-sqr_binary64`
5×	`cube-prod_binary64` `fabs-mul_binary64` `rem-sqrt-square_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64`
4×	`distribute-neg-out_binary64`
3×	`unpow2_binary64`
2×	`fabs-sqr_binary64` `mul-1-neg_binary64`
1×	`unpow3_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `pow-sqr_binary64` `distribute-rgt1-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` `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-mult_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-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt-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--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	46
1	61	46
2	152	46
3	438	46
4	1297	46
5	2510	46
6	4609	46
7	5033	46

prune3.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (*.f64 3 a))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite160.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64` `add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64`
4×	`associate-*r/_binary64`
3×	`sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `unpow-prod-down_binary64` `pow-unpow_binary64`
2×	`unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `associate-l_binary64` `*-commutative_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `diff-log_binary64`

Counts

4 → 79

Calls

4 calls:

8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
4.0ms	(-.f64 1 (*.f64 3 a))

Compiler

Compiled 2836 to 1556 computations (45.1% saved)

series132.0ms (3%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

54.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
28.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
14.0ms	(.f64 (.f64 a a) (+.f64 1 a))
11.0ms	(-.f64 1 (*.f64 3 a))

Compiler

Compiled 2257 to 1633 computations (27.6% saved)

simplify129.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

675×	`unswap-sqr_binary64`
481×	`exp-prod_binary64`
384×	`distribute-rgt-in_binary64`
336×	`distribute-lft-in_binary64`
322×	`*-commutative_binary64`
207×	`associate-l_binary64`
175×	`log-prod_binary64`
159×	`associate-r_binary64`
146×	`sqr-pow_binary64`
129×	`distribute-rgt-neg-in_binary64`
117×	`distribute-rgt-out_binary64`
112×	`distribute-lft-neg-in_binary64`
100×	`distribute-lft-neg-out_binary64`
94×	`distribute-rgt-neg-out_binary64`
91×	`cancel-sign-sub-inv_binary64`
49×	`unsub-neg_binary64`
48×	`neg-sub0_binary64`
47×	`neg-mul-1_binary64`
43×	`cube-prod_binary64`
42×	`*-lft-identity_binary64`
41×	`associate-+l+_binary64`
39×	`pow-plus_binary64` `associate-+r+_binary64`
38×	`log-pow_binary64`
37×	`*-rgt-identity_binary64` `pow-sqr_binary64`
33×	`exp-sum_binary64`
31×	`+-commutative_binary64`
30×	`sub-neg_binary64`
26×	`unpow3_binary64`
24×	`swap-sqr_binary64`
22×	`distribute-rgt1-in_binary64`
20×	`distribute-lft-out_binary64`
18×	`exp-diff_binary64` `cube-unmult_binary64`
16×	`unpow1/2_binary64` `fabs-mul_binary64`
14×	`rem-sqrt-square_binary64`
9×	`exp-lft-cube_binary64` `distribute-lft1-in_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64`
7×	`cube-mult_binary64`
6×	`unpow2_binary64` `unpow1_binary64`
5×	`exp-neg_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
4×	`prod-exp_binary64` `div-sub_binary64` `distribute-rgt-out--_binary64` `associate-/l*_binary64`
3×	`difference-of-sqr-1_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
2×	`fabs-sqr_binary64` `count-2_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `associate-/r/_binary64` `associate-/r*_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-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_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-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

116 → 86

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1677
1	364	1498
2	1113	1497
3	2545	1492
4	4484	1492
5	4826	1492
6	4958	1492

prune76.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	3	87

Error

0.0b

Counts

87 → 3

Compiler

Compiled 1726 to 950 computations (45% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.5b	(.f64 a (.f64 b b))
1.2b	(.f64 a (.f64 a (*.f64 b b)))

rewrite196.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
9×	`associate-r_binary64`
8×	`add-cube-cbrt_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `-commutative_binary64` `associate-r/_binary64`
3×	`unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
2×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
1×	`flip3--_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64`

Counts

4 → 89

Calls

4 calls:

8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.f64 a (.f64 b b))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))

Compiler

Compiled 3575 to 2031 computations (43.2% saved)

series111.0ms (2.5%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

30.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
24.0ms	(.f64 a (.f64 a (*.f64 b b)))
23.0ms	(.f64 a (.f64 b b))
16.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2158 to 1615 computations (25.2% saved)

simplify100.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

471×	`*-commutative_binary64`
355×	`distribute-rgt-in_binary64`
316×	`distribute-lft-in_binary64`
300×	`associate-l_binary64`
299×	`sqr-pow_binary64`
253×	`associate-r_binary64`
229×	`neg-mul-1_binary64`
228×	`exp-prod_binary64`
227×	`unsub-neg_binary64`
225×	`neg-sub0_binary64`
200×	`+-commutative_binary64`
141×	`unswap-sqr_binary64`
131×	`distribute-rgt-neg-in_binary64`
118×	`sub-neg_binary64`
114×	`distribute-lft-neg-in_binary64`
101×	`distribute-lft-neg-out_binary64`
100×	`cancel-sign-sub-inv_binary64`
99×	`distribute-rgt-neg-out_binary64`
85×	`pow-sqr_binary64` `distribute-rgt-out_binary64`
78×	`log-prod_binary64`
70×	`cube-prod_binary64`
58×	`*-lft-identity_binary64`
54×	`*-rgt-identity_binary64`
45×	`associate-/l*_binary64`
43×	`associate-+l+_binary64`
41×	`associate-+r+_binary64`
33×	`swap-sqr_binary64`
31×	`exp-sum_binary64`
29×	`associate-+l-_binary64`
25×	`exp-diff_binary64`
22×	`fabs-mul_binary64`
21×	`unpow3_binary64`
19×	`sub0-neg_binary64`
18×	`div-sub_binary64`
17×	`cube-mult_binary64` `associate-/r*_binary64`
16×	`distribute-rgt1-in_binary64`
14×	`cube-unmult_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
13×	`pow-plus_binary64` `times-frac_binary64`
12×	`unpow1/2_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
11×	`rem-sqrt-square_binary64`
10×	`exp-lft-cube_binary64`
8×	`+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-/r/_binary64`
7×	`distribute-lft1-in_binary64`
6×	`log-pow_binary64` `distribute-rgt-out--_binary64`
5×	`count-2_binary64`
4×	`sqr-neg_binary64`
3×	`exp-neg_binary64` `difference-of-sqr-1_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `cube-neg_binary64` `fabs-sqr_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_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-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` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_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-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

115 → 94

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	138	1575
1	360	1304
2	1266	1265
3	2704	1239
4	3873	1228
5	5124	1228

prune98.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	94	3	97

Error

0.0b

Counts

97 → 3

Compiler

Compiled 2148 to 1279 computations (40.5% saved)

localize30.0ms (0.7%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 a (.f64 a (*.f64 b b)))
17.7b	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))
17.7b	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))
17.7b	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))

rewrite194.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-prod_binary64`
13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`cbrt-div_binary64` `cube-mult_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-rgt1-in_binary64` `unpow3_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate-l_binary64`
1×	`associate-r_binary64` `*-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))
6.0ms	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))

Compiler

Compiled 4150 to 2356 computations (43.2% saved)

series146.0ms (3.3%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

31.0ms	(.f64 a (.f64 a (*.f64 b b)))
22.0ms	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))
22.0ms	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))
20.0ms	(cbrt.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))

Compiler

Compiled 3664 to 2528 computations (31% saved)

simplify149.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

468×	`cancel-sign-sub-inv_binary64`
418×	`*-commutative_binary64`
253×	`distribute-rgt-out_binary64`
237×	`neg-mul-1_binary64`
211×	`sub-neg_binary64`
180×	`difference-of-squares_binary64`
162×	`distribute-rgt-neg-in_binary64`
161×	`sqr-pow_binary64`
150×	`distribute-lft-neg-in_binary64`
136×	`unswap-sqr_binary64`
123×	`distribute-rgt-out--_binary64`
119×	`distribute-lft-out_binary64`
117×	`associate-l_binary64`
116×	`associate-r_binary64`
105×	`exp-prod_binary64`
98×	`unsub-neg_binary64`
83×	`+-commutative_binary64`
81×	`log-prod_binary64`
77×	`distribute-rgt-in_binary64`
70×	`exp-sum_binary64` `associate-+l+_binary64`
68×	`distribute-lft-in_binary64`
66×	`neg-sub0_binary64`
56×	`distribute-neg-in_binary64`
55×	`associate-+r+_binary64`
54×	`cube-prod_binary64`
53×	`distribute-rgt1-in_binary64`
50×	`div-sub_binary64`
49×	`times-frac_binary64`
46×	`pow-sqr_binary64` `associate-+l-_binary64`
41×	`distribute-lft-neg-out_binary64`
33×	`log-div_binary64`
32×	`associate-/r*_binary64`
29×	`distribute-rgt-neg-out_binary64` `distribute-lft-out--_binary64`
28×	`log-pow_binary64` `unpow3_binary64` `exp-diff_binary64` `sub0-neg_binary64` `distribute-lft1-in_binary64`
26×	`associate-+r-_binary64`
23×	`fabs-mul_binary64`
22×	`cube-mult_binary64`
21×	`associate-/l*_binary64`
20×	`associate--l+_binary64` `associate--r+_binary64`
18×	`exp-to-pow_binary64` `+-rgt-identity_binary64` `swap-sqr_binary64`
17×	`associate-*r/_binary64`
15×	`pow-plus_binary64` `distribute-neg-frac_binary64`
14×	`exp-neg_binary64` `cube-div_binary64`
13×	`distribute-neg-out_binary64`
12×	`associate-/l/_binary64`
10×	`cube-unmult_binary64`
9×	`sqr-neg_binary64`
8×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-*l/_binary64`
6×	`log-rec_binary64` `unpow1/3_binary64` `fabs-sqr_binary64` `rem-sqrt-square_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `+-lft-identity_binary64`
4×	`unpow2_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `remove-double-neg_binary64` `count-2_binary64` `associate-/r/_binary64`
3×	`unpow1_binary64` `exp-lft-cube_binary64`
2×	`unpow1/2_binary64` `prod-exp_binary64` `mul-1-neg_binary64` `difference-of-sqr-1_binary64`
1×	`exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_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-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

96 → 46

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	105	1514
1	256	1403
2	749	1355
3	1541	1319
4	2772	1307
5	4533	1292
6	4942	1292
7	4897	1292

prune74.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	46	3	49

Error

0.0b

Counts

49 → 3

Compiler

Compiled 1921 to 1141 computations (40.6% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
3.5b	(exp.f64 (log.f64 (+.f64 (*.f64 a a) (pow.f64 a 3))))
17.5b	(log.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))

rewrite174.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`pow1_binary64` `log-prod_binary64`
11×	`add-sqr-sqrt_binary64` `add-exp-log_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
6×	`exp-sum_binary64`
4×	`log-div_binary64` `cube-mult_binary64` `add-log-exp_binary64` `exp-prod_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `unpow-prod-down_binary64` `pow-unpow_binary64`
2×	`log-pow_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-rgt1-in_binary64` `unpow3_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `exp-diff_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
1×	`rem-log-exp_binary64` `rem-exp-log_binary64` `unswap-sqr_binary64` `flip3--_binary64` `flip--_binary64` `associate-l_binary64` `*-commutative_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 80

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
7.0ms	(exp.f64 (log.f64 (+.f64 (*.f64 a a) (pow.f64 a 3))))
7.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
6.0ms	(log.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))

Compiler

Compiled 3038 to 1710 computations (43.7% saved)

series142.0ms (3.2%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

40.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
28.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
26.0ms	(exp.f64 (log.f64 (+.f64 (*.f64 a a) (pow.f64 a 3))))
15.0ms	(log.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))

Compiler

Compiled 2354 to 1750 computations (25.7% saved)

simplify117.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

316×	`log-prod_binary64`
279×	`*-commutative_binary64`
277×	`cancel-sign-sub-inv_binary64`
192×	`distribute-rgt-in_binary64`
173×	`distribute-lft-in_binary64`
157×	`difference-of-squares_binary64`
148×	`sqr-pow_binary64`
143×	`exp-prod_binary64`
140×	`associate-l_binary64`
132×	`sub-neg_binary64`
121×	`associate-r_binary64`
118×	`prod-exp_binary64`
111×	`distribute-lft-neg-out_binary64`
105×	`unsub-neg_binary64`
99×	`unswap-sqr_binary64` `distribute-rgt-neg-out_binary64`
87×	`distribute-rgt-neg-in_binary64`
76×	`neg-sub0_binary64`
75×	`log-pow_binary64` `distribute-lft-neg-in_binary64`
73×	`neg-mul-1_binary64`
69×	`exp-sum_binary64` `distribute-rgt-out_binary64`
56×	`times-frac_binary64`
54×	`+-commutative_binary64`
49×	`cube-prod_binary64`
41×	`pow-sqr_binary64`
30×	`log-div_binary64`
28×	`exp-diff_binary64`
26×	`*-lft-identity_binary64` `swap-sqr_binary64`
25×	`distribute-neg-in_binary64` `distribute-lft-out_binary64`
24×	`-rgt-identity_binary64` `associate-/r_binary64`
23×	`distribute-rgt-out--_binary64` `associate-+l-_binary64`
22×	`pow-plus_binary64` `associate-+r-_binary64`
19×	`associate-+l+_binary64`
18×	`distribute-neg-frac_binary64` `associate-+r+_binary64`
16×	`unpow3_binary64` `cube-unmult_binary64`
15×	`fabs-mul_binary64`
14×	`rem-exp-log_binary64` `rem-sqrt-square_binary64` `div-sub_binary64` `+-rgt-identity_binary64`
13×	`exp-to-pow_binary64` `sub0-neg_binary64` `distribute-rgt1-in_binary64`
12×	`cube-mult_binary64`
10×	`distribute-neg-out_binary64` `associate-*r/_binary64` `associate--l+_binary64`
8×	`div-exp_binary64` `cube-div_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out--_binary64`
7×	`unpow1/2_binary64` `exp-lft-cube_binary64` `rec-exp_binary64` `associate--r+_binary64`
6×	`unpow2_binary64` `unpow1_binary64`
5×	`log-rec_binary64` `associate-/l/_binary64`
4×	`exp-neg_binary64` `distribute-lft1-in_binary64` `associate-*l/_binary64` `associate--r-_binary64`
3×	`rem-log-exp_binary64` `remove-double-neg_binary64` `distribute-frac-neg_binary64` `count-2_binary64`
2×	`fabs-sqr_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `difference-of-sqr-1_binary64`
1×	`exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `associate-/r/_binary64` `associate-/l*_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` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64`

Counts

112 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	1815
1	400	1614
2	1140	1604
3	2677	1593
4	4836	1593
5	5095	1593

prune85.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	77	3	80

Error

0.0b

Counts

80 → 3

Compiler

Compiled 1755 to 1005 computations (42.7% saved)

regimes933.0ms (21.4%)

Accuracy

Total 0.0b remaining (42.3%)

Threshold costs 0.0b (42.3%)

Compiler

Compiled 20714 to 14498 computations (30% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_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` `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_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	88
1	52	88
2	59	88
3	63	88
4	66	88
5	67	88
6	64	88

end2.0ms (0%)

Compiler: Compiled 58 to 39 computations (32.8% saved)

sample931.0ms (21.4%)

Algorithm

1×

intervals

Results

514.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 215 to 155 computations (27.9% saved)

Details

analyze223.0ms (5.1%)

sample24.0ms (0.6%)

simplify62.0ms (1.4%)

prune3.0ms (0.1%)

localize21.0ms (0.5%)

rewrite160.0ms (3.7%)

series132.0ms (3%)

simplify129.0ms (2.9%)

prune76.0ms (1.7%)

localize23.0ms (0.5%)

rewrite196.0ms (4.5%)

series111.0ms (2.5%)

simplify100.0ms (2.3%)

prune98.0ms (2.2%)

localize30.0ms (0.7%)

rewrite194.0ms (4.4%)

series146.0ms (3.3%)

simplify149.0ms (3.4%)

prune74.0ms (1.7%)

localize21.0ms (0.5%)

rewrite174.0ms (4%)

series142.0ms (3.2%)

simplify117.0ms (2.7%)

prune85.0ms (2%)

regimes933.0ms (21.4%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end2.0ms (0%)

sample931.0ms (21.4%)

Profiling