Details

analyze106.0ms (1.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

847×	`unswap-sqr_binary64`
640×	`associate-*l/_binary64`
462×	`associate-*r/_binary64`
372×	`associate-/l*_binary64`
366×	`distribute-rgt-out_binary64`
344×	`distribute-rgt-in_binary64`
324×	`distribute-lft-in_binary64`
294×	`associate-+l+_binary64`
262×	`distribute-lft-out_binary64`
258×	`associate-+r+_binary64`
240×	`*-commutative_binary64`
183×	`associate-l_binary64`
178×	`associate-r_binary64`
126×	`associate-/l/_binary64`
105×	`+-commutative_binary64`
78×	`-rgt-identity_binary64` `-lft-identity_binary64`
73×	`associate-/r*_binary64`
68×	`sqr-pow_binary64`
61×	`associate-/r/_binary64`
52×	`times-frac_binary64`
31×	`pow-sqr_binary64`
22×	`distribute-rgt1-in_binary64`
14×	`distribute-lft1-in_binary64`
12×	`pow-plus_binary64`
7×	`cube-div_binary64` `/-rgt-identity_binary64`
4×	`unpow3_binary64` `cube-unmult_binary64`
2×	`unpow2_binary64` `exp-prod_binary64` `cube-prod_binary64` `swap-sqr_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `cube-mult_binary64` `sqr-abs_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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-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-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-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	91	86
2	261	60
3	1006	52
4	3215	49
5	3806	47
6	4565	47
7	5512	47
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	12.5%	87.5%	2
0%	6.3%	93.7%	3
0%	3.1%	96.9%	4
0%	1.6%	98.4%	5
0%	0.8%	99.2%	6
0%	0.4%	99.6%	7
0%	0.2%	99.8%	8
0.1%	0.1%	99.8%	9
0.1%	0%	99.9%	10
0.1%	0%	99.9%	11
0.1%	0%	99.9%	12
0.1%	0%	99.9%	13
0.1%	0%	99.9%	14

Compiler

Compiled 106 to 71 computations (33% saved)

sample66.0ms (0.9%)

Algorithm

1×

intervals

Results

50.0ms	256×	body	128	valid
3.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 209 to 141 computations (32.5% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

847×	`unswap-sqr_binary64`
640×	`associate-*l/_binary64`
462×	`associate-*r/_binary64`
372×	`associate-/l*_binary64`
366×	`distribute-rgt-out_binary64`
344×	`distribute-rgt-in_binary64`
324×	`distribute-lft-in_binary64`
294×	`associate-+l+_binary64`
262×	`distribute-lft-out_binary64`
258×	`associate-+r+_binary64`
240×	`*-commutative_binary64`
183×	`associate-l_binary64`
178×	`associate-r_binary64`
126×	`associate-/l/_binary64`
105×	`+-commutative_binary64`
78×	`-rgt-identity_binary64` `-lft-identity_binary64`
73×	`associate-/r*_binary64`
68×	`sqr-pow_binary64`
61×	`associate-/r/_binary64`
52×	`times-frac_binary64`
31×	`pow-sqr_binary64`
22×	`distribute-rgt1-in_binary64`
14×	`distribute-lft1-in_binary64`
12×	`pow-plus_binary64`
7×	`cube-div_binary64` `/-rgt-identity_binary64`
4×	`unpow3_binary64` `cube-unmult_binary64`
2×	`unpow2_binary64` `exp-prod_binary64` `cube-prod_binary64` `swap-sqr_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `cube-mult_binary64` `sqr-abs_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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-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-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-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	152
1	91	86
2	261	60
3	1006	52
4	3215	49
5	3806	47
6	4565	47
7	5512	47

prune9.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

2.5b

Counts

2 → 2

Compiler

Compiled 163 to 111 computations (31.9% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 PI.f64))
0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
1.0b	(sqrt.f64 PI.f64)
2.5b	(exp.f64 (*.f64 x x))

rewrite135.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

26×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64` `times-frac_binary64`
15×	`sqrt-prod_binary64`
11×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
7×	`associate-/l_binary64` `associate-/r_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64`
2×	`frac-2neg_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`exp-to-pow_binary64` `exp-prod_binary64` `rem-exp-log_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

4 → 87

Calls

4 calls:

9.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
5.0ms	(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 PI.f64))
2.0ms	(exp.f64 (*.f64 x x))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 2951 to 1389 computations (52.9% saved)

series66.0ms (0.9%)

Error

2.4b

Counts

4 → 18

Calls

4 calls:

22.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
18.0ms	(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 PI.f64))
11.0ms	(exp.f64 (*.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1280 to 962 computations (24.8% saved)

simplify136.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

470×	`distribute-rgt-in_binary64`
437×	`distribute-lft-in_binary64`
303×	`associate-/r/_binary64`
184×	`associate-/l*_binary64`
177×	`associate-l_binary64`
173×	`times-frac_binary64`
171×	`associate-/r*_binary64`
150×	`associate-*l/_binary64`
139×	`associate-r_binary64`
128×	`distribute-rgt-out_binary64`
120×	`associate-*r/_binary64`
108×	`*-commutative_binary64`
103×	`associate-/l/_binary64`
95×	`distribute-lft-out_binary64`
85×	`unswap-sqr_binary64`
74×	`sub-neg_binary64`
69×	`cancel-sign-sub-inv_binary64`
53×	`associate-+l+_binary64`
47×	`exp-prod_binary64` `+-commutative_binary64`
43×	`div-sub_binary64`
37×	`log-pow_binary64` `sqr-pow_binary64` `associate-+r+_binary64`
33×	`log-prod_binary64`
21×	`neg-sub0_binary64`
19×	`log-div_binary64`
18×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64`
17×	`distribute-neg-frac_binary64` `associate-+l-_binary64`
16×	`distribute-lft-neg-in_binary64`
14×	`unsub-neg_binary64` `associate-+r-_binary64`
13×	`unpow3_binary64` `distribute-lft-neg-out_binary64`
12×	`distribute-rgt-neg-out_binary64`
10×	`cube-unmult_binary64`
9×	`pow-plus_binary64` `distribute-rgt1-in_binary64`
8×	`cube-prod_binary64` `*-rgt-identity_binary64` `count-2_binary64`
7×	`exp-to-pow_binary64` `pow-sqr_binary64`
6×	`exp-diff_binary64` `cube-div_binary64` `distribute-neg-in_binary64`
5×	`rem-sqrt-square_binary64` `/-rgt-identity_binary64` `*-lft-identity_binary64` `distribute-lft1-in_binary64`
4×	`sub0-neg_binary64` `+-rgt-identity_binary64` `swap-sqr_binary64`
3×	`prod-exp_binary64` `distribute-rgt-out--_binary64`
2×	`rec-exp_binary64` `exp-sum_binary64` `rem-log-exp_binary64` `associate--l-_binary64` `associate--r+_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `1-exp_binary64` `rem-exp-log_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `distribute-frac-neg_binary64` `associate--r-_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-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `cube-mult_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` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64`

Counts

105 → 48

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1907
1	327	1726
2	821	1714
3	2290	1714
4	4880	1714
5	4993	1714
6	4931	1714

prune58.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	37	11	48
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	38	12	50

Error

2.3b

Counts

50 → 12

Compiler

Compiled 1629 to 929 computations (43% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 PI.f64)))
0.3b	(.f64 (/.f64 (.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
2.5b	(exp.f64 (*.f64 x x))

rewrite246.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

31×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
22×	`times-frac_binary64`
21×	`associate-r_binary64`
20×	`add-cbrt-cube_binary64`
19×	`add-cube-cbrt_binary64`
18×	`add-exp-log_binary64`
16×	`sqrt-prod_binary64`
14×	`associate-l_binary64`
8×	`pow1_binary64`
6×	`add-log-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
5×	`distribute-lft-out_binary64` `unswap-sqr_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64`
3×	`div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-*r/_binary64` `fabs-mul_binary64`
2×	`associate-/l/_binary64` `pow-prod-down_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`exp-to-pow_binary64` `exp-prod_binary64` `rem-exp-log_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `fabs-sqr_binary64` `sqrt-div_binary64`

Counts

4 → 109

Calls

4 calls:

34.0ms	(.f64 (/.f64 (.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
13.0ms	(.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 PI.f64)))
9.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
2.0ms	(exp.f64 (*.f64 x x))

Compiler

Compiled 4436 to 2570 computations (42.1% saved)

series129.0ms (1.8%)

Error

2.2b

Counts

4 → 30

Calls

4 calls:

48.0ms	(.f64 (/.f64 (.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 PI.f64))) (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 15/8 (pow.f64 x 6)) (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)))))
22.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
18.0ms	(.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (/.f64 1 PI.f64)))
12.0ms	(exp.f64 (*.f64 x x))

Compiler

Compiled 2088 to 1612 computations (22.8% saved)

simplify230.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

275×	`associate-+l+_binary64`
249×	`associate-l_binary64`
219×	`associate-/l/_binary64`
215×	`associate-+r+_binary64`
199×	`associate-r_binary64` `+-commutative_binary64`
186×	`associate-/r/_binary64`
185×	`distribute-rgt-in_binary64`
176×	`distribute-lft-in_binary64`
159×	`*-commutative_binary64`
130×	`times-frac_binary64` `associate-*l/_binary64`
125×	`sub-neg_binary64`
120×	`associate-/l*_binary64`
114×	`exp-prod_binary64` `associate-*r/_binary64`
110×	`sqr-pow_binary64`
101×	`associate-/r*_binary64`
93×	`log-prod_binary64`
79×	`distribute-lft-out_binary64`
75×	`distribute-rgt-out_binary64`
65×	`cube-prod_binary64`
55×	`neg-mul-1_binary64` `neg-sub0_binary64`
53×	`unsub-neg_binary64`
45×	`*-lft-identity_binary64`
43×	`exp-sum_binary64`
41×	`log-div_binary64` `unswap-sqr_binary64`
40×	`*-rgt-identity_binary64`
32×	`cancel-sign-sub-inv_binary64` `associate--l+_binary64` `associate--r+_binary64`
28×	`cube-div_binary64`
26×	`div-sub_binary64`
25×	`swap-sqr_binary64`
24×	`distribute-rgt-neg-in_binary64`
20×	`distribute-neg-frac_binary64` `distribute-neg-in_binary64` `associate-+l-_binary64`
19×	`pow-sqr_binary64`
18×	`log-pow_binary64`
17×	`unpow3_binary64`
16×	`distribute-lft-neg-in_binary64`
15×	`associate-+r-_binary64`
14×	`cube-mult_binary64`
12×	`cube-unmult_binary64` `/-rgt-identity_binary64` `distribute-rgt1-in_binary64`
10×	`+-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
9×	`distribute-rgt-neg-out_binary64`
7×	`rem-sqrt-square_binary64`
6×	`log-rec_binary64` `distribute-rgt-out--_binary64`
5×	`pow-plus_binary64` `sub0-neg_binary64`
4×	`fabs-mul_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
3×	`unpow1/2_binary64` `exp-to-pow_binary64` `prod-exp_binary64`
2×	`rem-log-exp_binary64` `fabs-div_binary64` `fabs-sqr_binary64` `associate--r-_binary64`
1×	`log-E_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `+-lft-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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

139 → 95

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	270	4918
1	756	4176
2	2746	3941
3	4354	3923
4	4979	3923
5	4995	3923
6	4929	3923

prune128.0ms (1.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	83	12	95
Fresh	7	4	11
Picked	1	0	1
Done	0	0	0
Total	91	16	107

Error

1.8b

Counts

107 → 16

Compiler

Compiled 3421 to 2075 computations (39.3% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.5b	(exp.f64 (*.f64 x x))
2.5b	(exp.f64 (*.f64 x x))
2.5b	(exp.f64 (*.f64 x x))
2.5b	(exp.f64 (*.f64 x x))

rewrite67.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

12×	`add-log-exp_binary64`
4×	`exp-to-pow_binary64` `pow1_binary64` `exp-prod_binary64` `rem-exp-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`

Counts

4 → 40

Calls

4 calls:

2.0ms	(exp.f64 (*.f64 x x))
2.0ms	(exp.f64 (*.f64 x x))
2.0ms	(exp.f64 (*.f64 x x))
2.0ms	(exp.f64 (*.f64 x x))

Compiler

Compiled 1608 to 769 computations (52.2% saved)

series85.0ms (1.2%)

Error

1.8b

Counts

4 → 24

Calls

4 calls:

15.0ms	(exp.f64 (*.f64 x x))
14.0ms	(exp.f64 (*.f64 x x))
12.0ms	(exp.f64 (*.f64 x x))
12.0ms	(exp.f64 (*.f64 x x))

Compiler

Compiled 2432 to 1598 computations (34.3% saved)

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

595×	`distribute-rgt-out_binary64`
344×	`unswap-sqr_binary64`
320×	`exp-prod_binary64`
301×	`cube-div_binary64`
271×	`*-commutative_binary64`
258×	`+-commutative_binary64`
240×	`count-2_binary64` `associate-/l*_binary64`
191×	`associate-l_binary64`
190×	`distribute-rgt-in_binary64`
187×	`distribute-lft-in_binary64`
166×	`associate-r_binary64`
160×	`associate-/l/_binary64`
148×	`associate-+l+_binary64`
130×	`distribute-lft-out_binary64`
124×	`sqr-pow_binary64`
120×	`associate-/r/_binary64`
112×	`associate-+r+_binary64`
85×	`log-pow_binary64`
80×	`associate-/r*_binary64`
69×	`cube-prod_binary64`
68×	`exp-to-pow_binary64`
65×	`unpow3_binary64`
62×	`log-prod_binary64`
54×	`cube-mult_binary64`
44×	`pow-sqr_binary64`
37×	`pow-plus_binary64` `exp-sum_binary64`
21×	`distribute-rgt1-in_binary64`
20×	`swap-sqr_binary64`
16×	`times-frac_binary64`
14×	`cube-unmult_binary64` `distribute-lft1-in_binary64`
9×	`prod-exp_binary64` `associate-*r/_binary64`
8×	`rem-log-exp_binary64` `fabs-mul_binary64` `associate-*l/_binary64`
7×	`exp-sqrt_binary64` `rem-sqrt-square_binary64`
6×	`exp-lft-sqr_binary64`
4×	`fabs-sqr_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `rem-exp-log_binary64`
2×	`unpow1/2_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
1×	`exp-lft-cube_binary64` `1-exp_binary64` `exp-1-e_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_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` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-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-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-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

64 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	552
1	55	508
2	112	508
3	260	508
4	804	508
5	2357	508
6	4122	508
7	4981	508

prune46.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	28	16	44

Error

1.8b

Counts

44 → 16

Compiler

Compiled 1611 to 982 computations (39% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
0.4b	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
0.5b	(.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))) (+.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))
2.5b	(exp.f64 (*.f64 x x))

rewrite324.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

34×	`*-un-lft-identity_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64`
9×	`frac-times_binary64`
8×	`frac-add_binary64` `times-frac_binary64` `associate-/l*_binary64`
6×	`add-log-exp_binary64` `swap-sqr_binary64`
4×	`associate-l_binary64` `associate-r_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-l/_binary64` `associate-r/_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`
1×	`exp-to-pow_binary64` `exp-prod_binary64` `rem-exp-log_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

46.0ms	(.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))) (+.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))
10.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
9.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
2.0ms	(exp.f64 (*.f64 x x))

Compiler

Compiled 8051 to 4943 computations (38.6% saved)

series136.0ms (1.9%)

Error

1.8b

Counts

4 → 30

Calls

4 calls:

32.0ms	(.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))) (+.f64 (/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))
27.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
25.0ms	(/.f64 (+.f64 1/2 (/.f64 3/4 (.f64 x x))) (.f64 x x))
17.0ms	(exp.f64 (*.f64 x x))

Compiler

Compiled 3635 to 2615 computations (28.1% saved)

simplify164.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

602×	`times-frac_binary64`
557×	`associate-/r*_binary64`
286×	`associate-/l*_binary64`
203×	`associate-+l+_binary64`
197×	`exp-prod_binary64`
185×	`associate-l_binary64`
169×	`associate-r_binary64`
156×	`distribute-rgt-in_binary64`
147×	`distribute-lft-in_binary64`
105×	`*-commutative_binary64`
96×	`unswap-sqr_binary64`
77×	`associate-*r/_binary64`
73×	`associate-*l/_binary64`
72×	`associate-/l/_binary64`
42×	`swap-sqr_binary64`
40×	`log-prod_binary64` `sqr-pow_binary64`
38×	`+-commutative_binary64`
34×	`associate-/r/_binary64`
30×	`cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64`
27×	`sub-neg_binary64` `distribute-lft-neg-out_binary64`
25×	`associate-+r+_binary64`
24×	`distribute-rgt-out_binary64`
23×	`distribute-rgt-neg-out_binary64`
21×	`pow-plus_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-out_binary64`
17×	`unpow3_binary64` `distribute-lft-neg-in_binary64`
16×	`cube-prod_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
14×	`exp-sum_binary64` `*-rgt-identity_binary64`
13×	`*-lft-identity_binary64`
12×	`associate-+l-_binary64`
11×	`pow-sqr_binary64`
10×	`log-pow_binary64` `associate-+r-_binary64`
7×	`fabs-mul_binary64`
6×	`cube-unmult_binary64` `cube-div_binary64`
5×	`log-div_binary64` `count-2_binary64`
4×	`cube-mult_binary64` `distribute-rgt-out--_binary64`
3×	`prod-exp_binary64` `rem-sqrt-square_binary64` `div-sub_binary64` `distribute-neg-in_binary64`
2×	`unpow1/2_binary64` `exp-to-pow_binary64` `rem-log-exp_binary64` `unsub-neg_binary64` `distribute-rgt1-in_binary64` `associate--l+_binary64` `associate--r+_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `fabs-sqr_binary64` `rem-square-sqrt_binary64` `difference-of-squares_binary64` `distribute-lft1-in_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` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

137 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	5006
1	537	4417
2	2000	3915
3	4935	3886
4	5149	3886

prune111.0ms (1.5%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	88	20	108

Error

1.8b

Counts

108 → 20

Compiler

Compiled 3904 to 2500 computations (36% saved)

regimes1.8s (24.4%)

Accuracy

Total -0.6b remaining (-48.5%)

Threshold costs -0.6b (-48.5%)

Compiler

Compiled 35950 to 24574 computations (31.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	50
1	31	50
2	30	50

end1.0ms (0%)

Compiler: Compiled 32 to 24 computations (25% saved)

sample3.0s (41.2%)

Algorithm

1×

intervals

Results

1.7s	8000×	body	128	valid
108.0ms	8128×	pre	128	true
28.0ms	128×	body	128	invalid

Compiler

Compiled 1188 to 804 computations (32.3% saved)

Details

analyze106.0ms (1.5%)

sample66.0ms (0.9%)

simplify78.0ms (1.1%)

prune9.0ms (0.1%)

localize19.0ms (0.3%)

rewrite135.0ms (1.9%)

series66.0ms (0.9%)

simplify136.0ms (1.9%)

prune58.0ms (0.8%)

localize19.0ms (0.3%)

rewrite246.0ms (3.4%)

series129.0ms (1.8%)

simplify230.0ms (3.2%)

prune128.0ms (1.8%)

localize25.0ms (0.3%)

rewrite67.0ms (0.9%)

series85.0ms (1.2%)

simplify88.0ms (1.2%)

prune46.0ms (0.6%)

localize30.0ms (0.4%)

rewrite324.0ms (4.5%)

series136.0ms (1.9%)

simplify164.0ms (2.2%)

prune111.0ms (1.5%)

regimes1.8s (24.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample3.0s (41.2%)

Profiling