Details

analyze1.1s (10.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

12×	`*-commutative_binary64`
8×	`associate-/l*_binary64`
4×	`associate-/r/_binary64` `associate-l/_binary64` `associate-r/_binary64`
3×	`+-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` `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` `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` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_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` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	56
1	36	56
2	48	56
3	62	56
4	66	56
5	66	56
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
19.5%	80.4%	0.1%	10
20.7%	79.2%	0.1%	11
22%	77.8%	0.1%	12
23.5%	76.4%	0.1%	13
23.8%	76%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample67.0ms (0.6%)

Algorithm

1×

intervals

Results

34.0ms	115×	body	1024	valid
9.0ms	45×	body	512	valid
5.0ms	69×	body	128	valid
3.0ms	6×	body	2048	valid
3.0ms	21×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-/r/_binary64` `associate-l/_binary64` `associate-r/_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` `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` `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` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_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` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	16	14
3	20	14
4	21	14
5	21	14

prune3.0ms (0%)

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

16.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
0.3b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.3b	(cos.f64 (+.f64 a b))

rewrite89.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

24×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`cos-sum_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 67

Calls

3 calls:

8.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms	(cos.f64 (+.f64 a b))
4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Compiler

Compiled 1153 to 228 computations (80.2% saved)

series156.0ms (1.5%)

Error

14.7b

Counts

3 → 37

Calls

3 calls:

62.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
37.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
22.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1644 to 1084 computations (34.1% saved)

simplify148.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

527×	`associate-/r*_binary64`
396×	`associate-*l/_binary64`
371×	`associate-*r/_binary64`
264×	`associate-/r/_binary64`
206×	`associate-/l/_binary64`
174×	`associate-r_binary64`
154×	`associate-l_binary64`
143×	`sub-neg_binary64`
142×	`associate-/l*_binary64`
117×	`times-frac_binary64`
101×	`unswap-sqr_binary64`
100×	`*-commutative_binary64`
84×	`sqr-pow_binary64`
83×	`associate-+r+_binary64`
73×	`cancel-sign-sub-inv_binary64` `+-commutative_binary64`
67×	`neg-mul-1_binary64`
59×	`associate-+l+_binary64`
58×	`neg-sub0_binary64` `*-rgt-identity_binary64`
49×	`*-lft-identity_binary64`
35×	`cube-prod_binary64`
34×	`distribute-rgt-neg-in_binary64`
31×	`unpow3_binary64`
28×	`log-prod_binary64` `distribute-lft-neg-in_binary64`
25×	`cube-mult_binary64` `/-rgt-identity_binary64`
22×	`cube-div_binary64` `pow-sqr_binary64`
19×	`log-div_binary64` `associate-+l-_binary64`
15×	`associate-+r-_binary64`
13×	`exp-prod_binary64` `rem-sqrt-square_binary64`
12×	`cube-unmult_binary64`
11×	`unsub-neg_binary64`
10×	`pow-plus_binary64` `+-rgt-identity_binary64` `associate--l+_binary64`
9×	`associate--r+_binary64`
8×	`unpow1/2_binary64` `sub0-neg_binary64` `difference-of-squares_binary64` `distribute-rgt-out_binary64`
6×	`unpow2_binary64` `unpow1_binary64` `distribute-lft-neg-out_binary64`
5×	`remove-double-neg_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-in_binary64`
4×	`log-pow_binary64` `distribute-neg-in_binary64`
3×	`associate--l-_binary64`
2×	`distribute-neg-frac_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-lft-out--_binary64` `distribute-lft-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-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `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` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-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-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

104 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2362
1	554	2216
2	2030	2172
3	4693	2172
4	4851	2172
5	4963	2172
6	4975	2172

prune88.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Error

0.3b

Counts

93 → 7

Compiler

Compiled 1600 to 508 computations (68.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
0.2b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.2b	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))

rewrite179.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

29×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
20×	`associate-r_binary64`
19×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64` `associate-/r/_binary64`
7×	`sin-mult_binary64`
6×	`add-log-exp_binary64` `cos-mult_binary64` `associate-l_binary64`
3×	`frac-sub_binary64` `sub-div_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l_binary64` `associate-/r_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `pow-prod-down_binary64` `*-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate-*r/_binary64`

Counts

4 → 100

Calls

4 calls:

12.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
11.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
5.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
4.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2800 to 419 computations (85% saved)

series254.0ms (2.4%)

Error

0.2b

Counts

4 → 45

Calls

4 calls:

105.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
61.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
32.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
24.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2250 to 1435 computations (36.2% saved)

simplify180.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

349×	`associate-/r/_binary64`
262×	`associate-/l/_binary64`
261×	`associate-r_binary64`
234×	`associate-l_binary64`
191×	`cancel-sign-sub-inv_binary64`
186×	`associate-/l*_binary64`
172×	`distribute-rgt-neg-in_binary64`
151×	`unswap-sqr_binary64`
149×	`distribute-lft-neg-in_binary64`
139×	`*-commutative_binary64`
135×	`times-frac_binary64`
127×	`neg-mul-1_binary64`
91×	`+-commutative_binary64`
87×	`log-prod_binary64`
85×	`associate-+r+_binary64`
81×	`exp-prod_binary64`
80×	`div-sub_binary64` `associate-/r*_binary64`
71×	`associate-*r/_binary64`
65×	`sub-neg_binary64` `sqr-pow_binary64`
62×	`associate-+l+_binary64`
61×	`cube-prod_binary64`
57×	`associate-*l/_binary64`
53×	`distribute-rgt-in_binary64`
46×	`neg-sub0_binary64` `*-rgt-identity_binary64` `distribute-lft-in_binary64`
42×	`log-div_binary64`
33×	`*-lft-identity_binary64`
31×	`cube-div_binary64`
28×	`distribute-rgt-out_binary64`
21×	`distribute-neg-frac_binary64`
20×	`/-rgt-identity_binary64`
19×	`unpow3_binary64` `distribute-lft-neg-out_binary64`
13×	`cube-mult_binary64` `distribute-neg-in_binary64`
12×	`cube-unmult_binary64` `distribute-rgt-out--_binary64`
11×	`swap-sqr_binary64` `associate--r+_binary64`
10×	`exp-sum_binary64`
9×	`difference-of-squares_binary64` `associate--l+_binary64`
8×	`log-rec_binary64` `unpow1/2_binary64`
7×	`rem-sqrt-square_binary64` `unsub-neg_binary64`
6×	`log-pow_binary64` `unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `distribute-lft-out_binary64`
5×	`exp-diff_binary64` `distribute-rgt-neg-out_binary64`
3×	`pow-sqr_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64`
2×	`remove-double-neg_binary64` `associate-+r-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `+-rgt-identity_binary64` `*-inverses_binary64` `+-inverses_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` `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` `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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

145 → 125

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	4401
1	722	4102
2	2766	3785
3	4579	3785
4	4979	3785
5	4992	3785

prune147.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	113	12	125
Fresh	5	1	6
Picked	1	0	1
Done	0	0	0
Total	119	13	132

Error

0.0b

Counts

132 → 13

Compiler

Compiled 3105 to 881 computations (71.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (sin.f64 b) (cos.f64 b))
0.2b	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))
0.2b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
0.2b	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))

rewrite268.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

120×	`times-frac_binary64`
112×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_binary64`
67×	`add-cube-cbrt_binary64`
23×	`associate-/r*_binary64`
15×	`difference-of-squares_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/l*_binary64`
7×	`div-inv_binary64`
6×	`add-log-exp_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64`
4×	`pow1_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r/_binary64` `cancel-sign-sub-inv_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `quot-tan_binary64`

Counts

4 → 161

Calls

4 calls:

17.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))
17.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
6.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
4.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

Compiler

Compiled 3880 to 755 computations (80.5% saved)

series227.0ms (2.1%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

102.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
39.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))
37.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
10.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

Compiler

Compiled 1658 to 1111 computations (33% saved)

simplify190.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

656×	`associate-/r*_binary64`
624×	`associate-/r/_binary64`
495×	`associate-*l/_binary64`
159×	`associate-/l/_binary64`
153×	`cancel-sign-sub-inv_binary64`
142×	`*-commutative_binary64`
134×	`associate-/l*_binary64`
110×	`associate-r_binary64`
98×	`times-frac_binary64`
89×	`sub-neg_binary64`
78×	`associate-l_binary64`
77×	`distribute-rgt-neg-in_binary64`
75×	`associate-*r/_binary64`
72×	`unswap-sqr_binary64`
70×	`+-commutative_binary64`
68×	`distribute-lft-neg-in_binary64`
55×	`sqr-pow_binary64`
52×	`*-rgt-identity_binary64`
50×	`exp-prod_binary64`
48×	`distribute-rgt-in_binary64`
46×	`neg-mul-1_binary64`
44×	`neg-sub0_binary64`
38×	`associate-+r+_binary64`
34×	`log-div_binary64`
31×	`distribute-lft-in_binary64` `associate-+l+_binary64`
29×	`log-prod_binary64`
28×	`distribute-neg-in_binary64`
27×	`distribute-rgt-out_binary64`
24×	`distribute-neg-frac_binary64`
20×	`unpow3_binary64` `associate--r+_binary64`
16×	`unsub-neg_binary64`
13×	`cube-div_binary64`
12×	`cube-prod_binary64` `/-rgt-identity_binary64`
11×	`div-sub_binary64` `distribute-lft-neg-out_binary64`
9×	`associate--l+_binary64`
8×	`cube-mult_binary64` `distribute-lft-out_binary64`
7×	`swap-sqr_binary64`
6×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
5×	`*-lft-identity_binary64` `+-rgt-identity_binary64`
4×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64`
3×	`exp-sum_binary64` `remove-double-div_binary64` `difference-of-squares_binary64`
2×	`log-rec_binary64` `exp-diff_binary64` `remove-double-neg_binary64` `associate--r-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `div0_binary64` `cancel-sign-sub_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` `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` `rec-exp_binary64` `prod-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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

202 → 133

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	5535
1	817	5345
2	2473	5315
3	4912	5315
4	4964	5315

prune149.0ms (1.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	135	11	146

Error

0.0b

Counts

146 → 11

Compiler

Compiled 2688 to 747 computations (72.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.f64 b)))))
0.2b	(*.f64 (sin.f64 a) (sin.f64 b))
0.2b	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.f64 b))))))
3.3b	(log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b))))

rewrite164.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-log-exp_binary64`
6×	`log-pow_binary64` `log-prod_binary64` `cancel-sign-sub-inv_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-r_binary64` `associate--r+_binary64`
2×	`exp-to-pow_binary64` `exp-prod_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`rem-log-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `sin-mult_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

4 → 82

Calls

4 calls:

8.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.f64 b))))))
6.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.f64 b)))))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
2.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b))))

Compiler

Compiled 2220 to 407 computations (81.7% saved)

series226.0ms (2.1%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

79.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.f64 b))))))
52.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (log.f64 (exp.f64 (.f64 (sin.f64 a) (sin.f64 b)))))
45.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 a) (sin.f64 b))))
23.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

Compiler

Compiled 1818 to 1208 computations (33.6% saved)

simplify122.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

764×	`times-frac_binary64`
668×	`associate-/l*_binary64`
186×	`cancel-sign-sub-inv_binary64`
161×	`distribute-rgt-neg-in_binary64`
160×	`unswap-sqr_binary64`
139×	`distribute-lft-neg-in_binary64`
131×	`associate-/r/_binary64`
126×	`associate-r_binary64`
119×	`associate-/l/_binary64` `associate-l_binary64`
73×	`*-commutative_binary64`
62×	`sub-neg_binary64`
61×	`+-commutative_binary64`
59×	`sqr-pow_binary64`
57×	`log-prod_binary64`
53×	`associate-+r+_binary64`
48×	`neg-mul-1_binary64`
46×	`neg-sub0_binary64`
43×	`distribute-rgt-in_binary64`
37×	`distribute-lft-in_binary64` `associate-+l+_binary64`
34×	`associate-/r*_binary64`
29×	`associate-*l/_binary64`
28×	`exp-prod_binary64`
24×	`log-div_binary64`
23×	`distribute-rgt-out_binary64`
19×	`associate-*r/_binary64`
18×	`cube-prod_binary64` `distribute-neg-frac_binary64`
17×	`*-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
16×	`log-pow_binary64`
12×	`*-lft-identity_binary64`
11×	`distribute-rgt-out--_binary64`
10×	`div-sub_binary64` `associate--r+_binary64`
9×	`difference-of-squares_binary64` `swap-sqr_binary64`
8×	`unpow3_binary64` `cube-mult_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64`
7×	`exp-to-pow_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64`
5×	`cube-unmult_binary64` `rem-sqrt-square_binary64` `associate--l+_binary64`
4×	`rem-log-exp_binary64` `distribute-rgt-neg-out_binary64`
3×	`log-rec_binary64` `exp-diff_binary64` `exp-sum_binary64` `pow-sqr_binary64` `distribute-lft-out--_binary64`
2×	`cube-div_binary64`
1×	`log-E_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `*-inverses_binary64` `count-2_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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

120 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2823
1	509	2670
2	1658	2616
3	4879	2616
4	4961	2616

prune109.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	100	10	110

Error

0.0b

Counts

110 → 10

Compiler

Compiled 1980 to 529 computations (73.3% saved)

regimes4.5s (41.8%)

Accuracy

Total 0.3b remaining (82.1%)

Threshold costs 0.3b (82.1%)

Compiler

Compiled 58175 to 34872 computations (40.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64` `+-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_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` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	12	16
2	17	16
3	19	16
4	20	16
5	20	16

end1.0ms (0%)

Compiler: Compiled 10 to 9 computations (10% saved)

sample2.3s (21.6%)

Algorithm

1×

intervals

Results

1.0s	3418×	body	1024	valid
286.0ms	1431×	body	512	valid
173.0ms	2333×	body	128	valid
102.0ms	166×	body	2048	valid
92.0ms	652×	body	256	valid
1.0ms	3×	body	1024	invalid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 321 to 205 computations (36.1% saved)

Details

analyze1.1s (10.3%)

sample67.0ms (0.6%)

simplify11.0ms (0.1%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite89.0ms (0.8%)

series156.0ms (1.5%)

simplify148.0ms (1.4%)

prune88.0ms (0.8%)

localize13.0ms (0.1%)

rewrite179.0ms (1.7%)

series254.0ms (2.4%)

simplify180.0ms (1.7%)

prune147.0ms (1.4%)

localize12.0ms (0.1%)

rewrite268.0ms (2.5%)

series227.0ms (2.1%)

simplify190.0ms (1.8%)

prune149.0ms (1.4%)

localize16.0ms (0.1%)

rewrite164.0ms (1.5%)

series226.0ms (2.1%)

simplify122.0ms (1.1%)

prune109.0ms (1%)

regimes4.5s (41.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample2.3s (21.6%)

Profiling