Details

analyze847.0ms (13.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`associate-/r/_binary64` `associate-/l*_binary64`
4×	`associate-l_binary64` `associate-r_binary64`
2×	`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` `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--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	20	22
2	31	22
3	41	22
4	49	22
5	51	22
6	50	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
37.5%	62.5%	0%	4
43.7%	56.2%	0%	5
46.9%	53.1%	0%	6
48.4%	51.5%	0%	7
49.2%	50.8%	0%	8
49.6%	50.4%	0%	9
49.8%	50.2%	0%	10
49.9%	50.1%	0%	11
49.9%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

Compiler

Compiled 17 to 15 computations (11.8% saved)

sample67.0ms (1.1%)

Algorithm

1×

intervals

Results

31.0ms	64×	body	1024	valid
15.0ms	150×	body	128	valid
10.0ms	34×	body	512	valid
2.0ms	8×	body	256	valid

Compiler

Compiled 33 to 30 computations (9.1% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
9×	`associate-/r/_binary64` `associate-/l*_binary64`
4×	`associate-l_binary64` `associate-r_binary64`
2×	`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` `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--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	20	22
2	31	22
3	41	22
4	49	22
5	51	22
6	50	22

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.5b

Counts

2 → 1

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
0.3b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
15.4b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

rewrite105.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

3 → 59

Calls

3 calls:

8.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
7.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
4.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 1250 to 933 computations (25.4% saved)

series58.0ms (0.9%)

Error

0.3b

Counts

3 → 18

Calls

3 calls:

17.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))
13.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
12.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))

Compiler

Compiled 572 to 468 computations (18.2% saved)

simplify86.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

672×	`times-frac_binary64`
637×	`associate-/l*_binary64`
411×	`cancel-sign-sub-inv_binary64`
403×	`associate-l_binary64`
346×	`associate-r_binary64`
255×	`associate-/r*_binary64`
210×	`associate-*l/_binary64`
186×	`associate-/l/_binary64`
163×	`associate-*r/_binary64`
146×	`associate-/r/_binary64`
144×	`sub-neg_binary64`
124×	`unswap-sqr_binary64`
67×	`sqr-pow_binary64`
60×	`log-div_binary64`
51×	`cube-div_binary64`
50×	`*-commutative_binary64`
44×	`swap-sqr_binary64`
37×	`log-prod_binary64` `distribute-rgt-neg-in_binary64`
36×	`neg-sub0_binary64`
35×	`cube-prod_binary64` `neg-mul-1_binary64`
34×	`distribute-lft-neg-in_binary64`
30×	`exp-prod_binary64`
29×	`associate--l+_binary64`
28×	`+-commutative_binary64`
27×	`associate-+l-_binary64`
22×	`associate-+r-_binary64`
14×	`*-lft-identity_binary64`
13×	`unpow3_binary64` `*-rgt-identity_binary64` `+-rgt-identity_binary64`
12×	`associate--r+_binary64` `associate-+l+_binary64`
11×	`associate-+r+_binary64`
10×	`cube-unmult_binary64`
9×	`pow-plus_binary64` `sub0-neg_binary64`
8×	`pow-sqr_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`
7×	`cube-mult_binary64` `unsub-neg_binary64`
5×	`div-sub_binary64` `distribute-neg-frac_binary64`
4×	`/-rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64`
3×	`log-pow_binary64` `distribute-lft-neg-out_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `div0_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `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-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-in_binary64` `associate--r-_binary64`

Counts

77 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	1655
1	334	1237
2	984	1226
3	3987	1219
4	4910	1219

prune56.0ms (0.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	42	12	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	13	55

Error

0.1b

Counts

55 → 13

Compiler

Compiled 882 to 679 computations (23% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
0.3b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
0.3b	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))

rewrite110.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 66

Calls

3 calls:

9.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
5.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
5.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 1418 to 1032 computations (27.2% saved)

series57.0ms (0.9%)

Error

0.1b

Counts

3 → 18

Calls

3 calls:

16.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x))
16.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 8/3 (sin.f64 (.f64 x 1/2))) (sin.f64 x)))
10.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))

Compiler

Compiled 571 to 474 computations (17% saved)

simplify122.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

528×	`times-frac_binary64`
445×	`associate-/l*_binary64`
383×	`associate-*r/_binary64`
380×	`associate-*l/_binary64`
285×	`sub-neg_binary64`
216×	`*-commutative_binary64`
185×	`associate-/r*_binary64`
182×	`associate-+l+_binary64`
121×	`associate-/l/_binary64`
120×	`log-div_binary64`
118×	`associate-/r/_binary64`
114×	`associate--l+_binary64`
112×	`cancel-sign-sub-inv_binary64`
110×	`associate-l_binary64`
106×	`associate-r_binary64`
104×	`associate-+r+_binary64`
96×	`cube-div_binary64`
84×	`associate-+l-_binary64` `+-commutative_binary64`
76×	`sqr-pow_binary64`
74×	`unswap-sqr_binary64`
71×	`cube-prod_binary64`
65×	`log-prod_binary64`
60×	`neg-mul-1_binary64`
59×	`unsub-neg_binary64`
58×	`swap-sqr_binary64`
54×	`neg-sub0_binary64`
53×	`exp-prod_binary64`
45×	`associate--l-_binary64`
40×	`*-lft-identity_binary64` `associate-+r-_binary64`
39×	`associate--r+_binary64`
37×	`unpow3_binary64` `*-rgt-identity_binary64` `distribute-rgt-neg-in_binary64`
30×	`cube-mult_binary64` `distribute-lft-neg-in_binary64`
25×	`/-rgt-identity_binary64`
20×	`log-rec_binary64`
14×	`associate--r-_binary64`
12×	`cube-unmult_binary64` `distribute-rgt-in_binary64`
11×	`pow-sqr_binary64`
10×	`pow-plus_binary64` `distribute-lft-in_binary64`
9×	`+-rgt-identity_binary64` `remove-double-div_binary64`
7×	`log-pow_binary64` `distribute-rgt-out_binary64`
6×	`distribute-neg-in_binary64`
5×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `distribute-neg-frac_binary64` `distribute-lft-out_binary64`
4×	`sub0-neg_binary64`
3×	`div-sub_binary64` `count-2_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `remove-double-neg_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `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` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-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` `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-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

84 → 57

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1741
1	343	1392
2	1076	1392
3	3519	1385
4	4530	1385
5	4991	1385
6	4908	1385

prune62.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	49	8	57
Fresh	6	5	11
Picked	1	0	1
Done	1	0	1
Total	57	13	70

Error

0.0b

Counts

70 → 13

Compiler

Compiled 1032 to 794 computations (23.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))
0.2b	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
0.3b	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))

rewrite176.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 95

Calls

4 calls:

12.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
9.0ms	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
8.0ms	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
6.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))

Compiler

Compiled 2424 to 1917 computations (20.9% saved)

series118.0ms (1.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

26.0ms	(/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
24.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
19.0ms	(.f64 (sqrt.f64 8/3) (.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
15.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (sqrt.f64 8/3))

Compiler

Compiled 1233 to 1092 computations (11.4% saved)

simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

599×	`associate-*l/_binary64`
446×	`associate-/r*_binary64`
401×	`*-commutative_binary64`
283×	`associate-/r/_binary64`
230×	`associate-/l/_binary64`
225×	`unswap-sqr_binary64`
198×	`associate-r_binary64`
196×	`associate-l_binary64`
176×	`sub-neg_binary64`
166×	`cancel-sign-sub-inv_binary64`
100×	`log-div_binary64`
96×	`sqr-pow_binary64`
93×	`cube-div_binary64`
90×	`associate-/l*_binary64`
88×	`associate-+l+_binary64`
86×	`log-prod_binary64`
81×	`cube-prod_binary64`
76×	`distribute-rgt-neg-in_binary64` `+-commutative_binary64`
70×	`distribute-lft-neg-in_binary64` `associate-*r/_binary64`
66×	`times-frac_binary64`
63×	`associate-+r+_binary64`
56×	`exp-prod_binary64`
51×	`neg-mul-1_binary64` `neg-sub0_binary64`
40×	`associate--l+_binary64` `associate-+l-_binary64`
37×	`*-rgt-identity_binary64`
36×	`swap-sqr_binary64`
33×	`distribute-rgt-out_binary64`
27×	`associate-+r-_binary64`
25×	`*-lft-identity_binary64`
23×	`distribute-lft-out_binary64`
20×	`unpow3_binary64`
16×	`cube-mult_binary64`
15×	`/-rgt-identity_binary64` `pow-sqr_binary64`
14×	`associate--r+_binary64`
13×	`unsub-neg_binary64` `+-rgt-identity_binary64`
11×	`cube-unmult_binary64` `distribute-neg-frac_binary64` `associate--l-_binary64`
10×	`distribute-rgt-out--_binary64`
9×	`sub0-neg_binary64`
7×	`distribute-lft-out--_binary64`
6×	`pow-plus_binary64` `div-sub_binary64`
5×	`log-pow_binary64` `rem-sqrt-square_binary64`
4×	`log-rec_binary64` `unpow1/2_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-in_binary64`
3×	`unpow2_binary64` `unpow1_binary64`
2×	`count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `div0_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-in_binary64` `associate--r-_binary64`

Counts

119 → 104

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	2666
1	504	1996
2	1521	1974
3	4179	1959
4	5010	1959

prune115.0ms (1.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	99	5	104
Fresh	6	6	12
Picked	0	1	1
Done	0	0	0
Total	105	12	117

Error

0.0b

Counts

117 → 12

Compiler

Compiled 1795 to 1400 computations (22% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 8/3 (sin.f64 (.f64 1/2 x)))
0.3b	(/.f64 (.f64 8/3 (sin.f64 (.f64 1/2 x))) (sin.f64 x))
0.8b	(cbrt.f64 (pow.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 1/2 x))) (sin.f64 x)) 3))
0.9b	(pow.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 1/2 x))) (sin.f64 x)) 3)

rewrite172.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
18×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`times-frac_binary64`
14×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`pow1_binary64`
5×	`div-inv_binary64`
4×	`div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64`
3×	`pow-unpow_binary64` `prod-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `cbrt-unprod_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-r*_binary64`
2×	`unpow3_binary64` `cube-mult_binary64` `cube-div_binary64` `sqr-pow_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `pow1/3_binary64` `cbrt-div_binary64` `rem-cbrt-cube_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

4 → 105

Calls

4 calls:

8.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 1/2 x))) (sin.f64 x))
6.0ms	(pow.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 1/2 x))) (sin.f64 x)) 3)
5.0ms	(.f64 8/3 (sin.f64 (.f64 1/2 x)))
4.0ms	(cbrt.f64 (pow.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 1/2 x))) (sin.f64 x)) 3))

Compiler

Compiled 2192 to 1669 computations (23.9% saved)

series101.0ms (1.6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

23.0ms	(pow.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 1/2 x))) (sin.f64 x)) 3)
21.0ms	(cbrt.f64 (pow.f64 (/.f64 (.f64 8/3 (sin.f64 (.f64 1/2 x))) (sin.f64 x)) 3))
15.0ms	(/.f64 (.f64 8/3 (sin.f64 (.f64 1/2 x))) (sin.f64 x))
12.0ms	(.f64 8/3 (sin.f64 (.f64 1/2 x)))

Compiler

Compiled 976 to 846 computations (13.3% saved)

simplify122.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

559×	`associate-/l*_binary64`
379×	`associate-/r*_binary64`
374×	`unswap-sqr_binary64`
178×	`log-prod_binary64`
146×	`associate-/r/_binary64`
142×	`associate-/l/_binary64`
111×	`exp-prod_binary64`
97×	`log-div_binary64`
91×	`sqr-pow_binary64`
88×	`associate-l_binary64`
86×	`associate-r_binary64`
84×	`swap-sqr_binary64`
68×	`cancel-sign-sub-inv_binary64`
64×	`cube-prod_binary64`
58×	`times-frac_binary64`
54×	`*-commutative_binary64`
44×	`associate-*l/_binary64`
43×	`associate-*r/_binary64`
41×	`log-pow_binary64` `cube-div_binary64`
38×	`+-commutative_binary64`
28×	`sub-neg_binary64`
27×	`associate-+r+_binary64`
25×	`associate-+l+_binary64`
23×	`distribute-rgt-in_binary64`
21×	`unpow3_binary64` `distribute-rgt-neg-in_binary64`
20×	`cube-mult_binary64` `distribute-lft-neg-in_binary64` `distribute-lft-in_binary64`
18×	`distribute-rgt-out_binary64`
16×	`pow-sqr_binary64`
14×	`distribute-lft-out_binary64`
12×	`rem-cbrt-cube_binary64`
11×	`rem-sqrt-square_binary64`
9×	`neg-mul-1_binary64` `neg-sub0_binary64`
8×	`pow-plus_binary64` `associate--l+_binary64`
7×	`cube-unmult_binary64`
6×	`*-rgt-identity_binary64`
4×	`unsub-neg_binary64` `associate--r+_binary64`
3×	`*-lft-identity_binary64` `distribute-neg-frac_binary64` `count-2_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `/-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `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-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-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-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

129 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	2494
1	426	2296
2	1367	2264
3	4994	2264
4	4952	2264

prune101.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	2	8	10
Picked	0	1	1
Done	1	0	1
Total	112	11	123

Error

0.0b

Counts

123 → 11

Compiler

Compiled 1512 to 1148 computations (24.1% saved)

regimes1.0s (16.7%)

Accuracy

Total 0.4b remaining (87.2%)

Threshold costs 0.4b (87.2%)

Compiler

Compiled 12883 to 11026 computations (14.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`unpow1_binary64` `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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29
2	19	29

end1.0ms (0%)

Compiler: Compiled 18 to 16 computations (11.1% saved)

sample2.6s (41.4%)

Algorithm

1×

intervals

Results

922.0ms	2079×	body	1024	valid
504.0ms	954×	body	512	valid
469.0ms	4491×	body	128	valid
101.0ms	471×	body	256	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 307 to 269 computations (12.4% saved)

Details

analyze847.0ms (13.4%)

sample67.0ms (1.1%)

simplify10.0ms (0.2%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite105.0ms (1.7%)

series58.0ms (0.9%)

simplify86.0ms (1.4%)

prune56.0ms (0.9%)

localize9.0ms (0.1%)

rewrite110.0ms (1.7%)

series57.0ms (0.9%)

simplify122.0ms (1.9%)

prune62.0ms (1%)

localize10.0ms (0.2%)

rewrite176.0ms (2.8%)

series118.0ms (1.9%)

simplify106.0ms (1.7%)

prune115.0ms (1.8%)

localize14.0ms (0.2%)

rewrite172.0ms (2.7%)

series101.0ms (1.6%)

simplify122.0ms (1.9%)

prune101.0ms (1.6%)

regimes1.0s (16.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample2.6s (41.4%)

Profiling