Details

analyze286.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

638×	`distribute-rgt-in_binary64`
571×	`associate-/r*_binary64`
512×	`distribute-lft-in_binary64`
407×	`associate-*l/_binary64`
376×	`div-sub_binary64`
345×	`associate-*r/_binary64`
236×	`neg-mul-1_binary64`
212×	`associate-/l*_binary64`
210×	`associate-l_binary64`
203×	`associate-r_binary64`
128×	`times-frac_binary64`
118×	`cancel-sign-sub-inv_binary64`
100×	`distribute-rgt-neg-out_binary64`
86×	`associate-/r/_binary64`
84×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64`
81×	`associate-/l/_binary64`
76×	`sub-neg_binary64`
67×	`*-commutative_binary64`
60×	`distribute-frac-neg_binary64`
52×	`distribute-rgt-neg-in_binary64`
42×	`distribute-lft-neg-in_binary64`
41×	`neg-sub0_binary64`
37×	`distribute-neg-frac_binary64`
36×	`distribute-rgt-out_binary64`
26×	`*-rgt-identity_binary64`
25×	`*-lft-identity_binary64`
20×	`distribute-neg-in_binary64` `associate--r+_binary64`
19×	`+-commutative_binary64`
15×	`mul0-rgt_binary64` `mul0-lft_binary64`
14×	`mul-1-neg_binary64` `/-rgt-identity_binary64`
12×	`sub0-neg_binary64` `div0_binary64`
8×	`distribute-lft-out_binary64`
6×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
4×	`+-lft-identity_binary64`
2×	`sqr-neg_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate-+l+_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` `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` `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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `--rgt-identity_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` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	58	58
2	163	58
3	626	58
4	2151	54
5	4896	54
6	5007	54
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
15.6%	84.3%	0.1%	6
37.5%	62.4%	0.1%	7
46.8%	53.1%	0.1%	8
57.8%	39.8%	2.4%	9
64.6%	30.4%	5%	10
71.8%	20.3%	7.9%	11
74.1%	16.2%	9.7%	12
77.4%	10.7%	12%	13
78.6%	8.4%	13%	14

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 43 to 37 computations (14% saved)

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

693×	`div-sub_binary64`
599×	`times-frac_binary64`
519×	`associate-/l*_binary64`
508×	`sub-neg_binary64`
357×	`associate-/l/_binary64`
274×	`distribute-rgt-in_binary64`
246×	`associate-/r*_binary64`
233×	`unsub-neg_binary64`
229×	`distribute-lft-in_binary64`
221×	`associate-/r/_binary64`
205×	`associate-*l/_binary64`
199×	`neg-mul-1_binary64`
192×	`neg-sub0_binary64`
176×	`associate-*r/_binary64`
153×	`*-commutative_binary64`
150×	`cancel-sign-sub-inv_binary64`
109×	`associate-l_binary64`
105×	`associate-r_binary64`
70×	`distribute-rgt-neg-out_binary64`
66×	`distribute-lft-neg-out_binary64`
35×	`distribute-frac-neg_binary64`
29×	`associate-+r+_binary64`
26×	`associate-+l+_binary64`
25×	`distribute-rgt-neg-in_binary64`
23×	`*-lft-identity_binary64` `distribute-lft-neg-in_binary64`
22×	`*-rgt-identity_binary64` `mul0-rgt_binary64`
20×	`mul0-lft_binary64`
18×	`div0_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out_binary64`
15×	`/-rgt-identity_binary64`
12×	`sub0-neg_binary64` `associate-+l-_binary64` `+-commutative_binary64`
10×	`mul-1-neg_binary64`
9×	`distribute-neg-in_binary64`
8×	`associate--r+_binary64`
6×	`associate-+r-_binary64`
4×	`+-rgt-identity_binary64` `distribute-lft-out_binary64`
3×	`--rgt-identity_binary64` `distribute-rgt-out--_binary64`
2×	`remove-double-neg_binary64` `+-lft-identity_binary64` `difference-of-squares_binary64`
1×	`1-exp_binary64` `sqr-neg_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-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` `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` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	36	29
2	93	29
3	336	29
4	1152	29
5	3231	29
6	4534	29
7	5241	29

prune3.0ms (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

15.3b

Counts

2 → 2

Compiler

Compiled 59 to 47 computations (20.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 PI.f64 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
1.0b	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
4.3b	(-.f64 (.f64 b b) (.f64 a a))
9.8b	(.f64 (.f64 (/.f64 PI.f64 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

rewrite416.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

9.6b

Rules

86×	`add-sqr-sqrt_binary64`
76×	`times-frac_binary64`
63×	`*-un-lft-identity_binary64`
62×	`add-exp-log_binary64`
45×	`add-cube-cbrt_binary64`
37×	`associate-r_binary64`
36×	`add-cbrt-cube_binary64`
27×	`cancel-sign-sub-inv_binary64`
25×	`prod-exp_binary64`
18×	`div-exp_binary64`
17×	`frac-times_binary64` `difference-of-squares_binary64`
14×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l_binary64`
13×	`cbrt-unprod_binary64`
12×	`pow1_binary64`
9×	`cbrt-undiv_binary64` `associate-*l/_binary64` `div-inv_binary64`
8×	`flip3--_binary64` `flip--_binary64` `associate-*r/_binary64`
7×	`distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `unswap-sqr_binary64`
5×	`1-exp_binary64` `rec-exp_binary64` `frac-sub_binary64` `un-div-inv_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
3×	`sub-neg_binary64` `associate-/l*_binary64`
2×	`*-commutative_binary64`
1×	`diff-log_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 203

Calls

4 calls:

30.0ms	(.f64 (.f64 (/.f64 PI.f64 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
16.0ms	(.f64 (/.f64 PI.f64 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
6.0ms	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
4.0ms	(-.f64 (.f64 b b) (.f64 a a))

Compiler

Compiled 6463 to 3420 computations (47.1% saved)

series171.0ms (2.6%)

Error

10.4b

Counts

4 → 57

Calls

4 calls:

48.0ms	(.f64 (.f64 (/.f64 PI.f64 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
40.0ms	(.f64 (/.f64 PI.f64 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
30.0ms	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
29.0ms	(-.f64 (.f64 b b) (.f64 a a))

Compiler

Compiled 2215 to 1877 computations (15.3% saved)

simplify270.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

472×	`associate-l_binary64`
407×	`associate-r_binary64`
322×	`*-commutative_binary64`
310×	`associate-*l/_binary64`
273×	`associate-*r/_binary64`
188×	`cancel-sign-sub-inv_binary64`
174×	`associate-/l*_binary64`
160×	`times-frac_binary64`
157×	`exp-prod_binary64`
133×	`associate-/r*_binary64`
103×	`sub-neg_binary64`
101×	`neg-sub0_binary64`
91×	`neg-mul-1_binary64` `distribute-rgt-in_binary64`
88×	`distribute-lft-in_binary64`
80×	`cube-prod_binary64`
75×	`*-rgt-identity_binary64`
71×	`log-prod_binary64`
70×	`*-lft-identity_binary64`
59×	`+-commutative_binary64`
58×	`sqr-pow_binary64`
55×	`div-sub_binary64`
52×	`log-div_binary64` `unpow3_binary64` `cube-div_binary64`
43×	`unswap-sqr_binary64`
36×	`distribute-lft-neg-out_binary64`
34×	`distribute-rgt-neg-in_binary64` `associate-/l/_binary64`
32×	`swap-sqr_binary64`
31×	`exp-sum_binary64`
29×	`associate-/r/_binary64`
28×	`distribute-rgt-neg-out_binary64`
27×	`/-rgt-identity_binary64`
23×	`distribute-lft-neg-in_binary64` `associate-+l+_binary64`
22×	`exp-diff_binary64`
20×	`cube-mult_binary64` `distribute-neg-frac_binary64`
16×	`cube-unmult_binary64`
15×	`unsub-neg_binary64`
14×	`difference-of-squares_binary64`
13×	`associate-+l-_binary64` `associate-+r-_binary64`
11×	`exp-sqrt_binary64` `associate-+r+_binary64`
10×	`log-rec_binary64` `distribute-rgt-out_binary64` `associate--r+_binary64`
9×	`associate--l+_binary64`
8×	`distribute-neg-in_binary64`
7×	`distribute-lft-out--_binary64`
6×	`unpow1/2_binary64` `pow-plus_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-lft-out_binary64`
3×	`rem-sqrt-square_binary64` `mul-1-neg_binary64` `associate--r-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `div0_binary64` `remove-double-div_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `distribute-rgt-out--_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` `log-pow_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` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_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` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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`

Counts

260 → 226

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	352	7470
1	1041	6686
2	4127	6488
3	4601	6488
4	4974	6476
5	4960	6476

prune154.0ms (2.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	218	8	226
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	220	8	228

Error

9.6b

Counts

228 → 8

Compiler

Compiled 3176 to 1680 computations (47.1% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
0.2b	(.f64 (.f64 (/.f64 PI.f64 2) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (+.f64 a b))) (/.f64 (cbrt.f64 1) (-.f64 b a)))
0.3b	(.f64 (/.f64 PI.f64 2) (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (+.f64 a b)))
9.8b	(.f64 (.f64 (.f64 (/.f64 PI.f64 2) (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (+.f64 a b))) (/.f64 (cbrt.f64 1) (-.f64 b a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

rewrite609.0ms (9.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

171×	`add-exp-log_binary64`
137×	`add-cbrt-cube_binary64`
126×	`add-sqr-sqrt_binary64`
110×	`times-frac_binary64`
102×	`*-un-lft-identity_binary64`
83×	`prod-exp_binary64` `cbrt-unprod_binary64`
65×	`associate-r_binary64`
56×	`add-cube-cbrt_binary64`
49×	`div-exp_binary64` `cbrt-undiv_binary64`
47×	`frac-times_binary64`
39×	`cancel-sign-sub-inv_binary64`
33×	`associate-*l/_binary64`
24×	`difference-of-squares_binary64`
20×	`pow1_binary64` `distribute-lft-out--_binary64`
19×	`associate-*r/_binary64`
15×	`associate-l_binary64` `cbrt-prod_binary64`
14×	`distribute-rgt-in_binary64` `div-inv_binary64` `distribute-lft-in_binary64`
10×	`pow-prod-down_binary64` `flip3--_binary64` `flip--_binary64`
9×	`frac-sub_binary64`
6×	`add-log-exp_binary64`
4×	`unswap-sqr_binary64` `associate-/r/_binary64`
3×	`sub-neg_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64` `flip3-+_binary64` `flip-+_binary64` `diff-log_binary64`

Counts

4 → 294

Calls

4 calls:

40.0ms	(.f64 (.f64 (.f64 (/.f64 PI.f64 2) (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (+.f64 a b))) (/.f64 (cbrt.f64 1) (-.f64 b a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
23.0ms	(.f64 (.f64 (/.f64 PI.f64 2) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (+.f64 a b))) (/.f64 (cbrt.f64 1) (-.f64 b a)))
18.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))
15.0ms	(.f64 (/.f64 PI.f64 2) (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (+.f64 a b)))

Compiler

Compiled 11784 to 7897 computations (33% saved)

series202.0ms (3.1%)

Error

9.6b

Counts

4 → 69

Calls

4 calls:

50.0ms	(.f64 (.f64 (.f64 (/.f64 PI.f64 2) (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (+.f64 a b))) (/.f64 (cbrt.f64 1) (-.f64 b a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
50.0ms	(.f64 (/.f64 PI.f64 2) (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) (+.f64 a b)))
42.0ms	(.f64 (.f64 (/.f64 PI.f64 2) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (+.f64 a b))) (/.f64 (cbrt.f64 1) (-.f64 b a)))
27.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))

Compiler

Compiled 3094 to 2464 computations (20.4% saved)

simplify333.0ms (5%)

Algorithm

1×	egg-herbie

Rules

640×	`associate-*l/_binary64`
289×	`associate-/l*_binary64`
212×	`*-commutative_binary64`
211×	`distribute-rgt-in_binary64`
206×	`distribute-lft-in_binary64`
163×	`times-frac_binary64`
150×	`associate-l_binary64`
145×	`associate-/r*_binary64`
115×	`log-div_binary64`
112×	`neg-mul-1_binary64`
95×	`associate-*r/_binary64`
83×	`log-prod_binary64`
82×	`associate-/l/_binary64`
62×	`associate-r_binary64`
60×	`sub-neg_binary64`
52×	`cancel-sign-sub-inv_binary64`
44×	`exp-prod_binary64`
40×	`div-sub_binary64`
39×	`unpow3_binary64`
38×	`distribute-rgt-neg-in_binary64`
37×	`neg-sub0_binary64`
36×	`cube-div_binary64` `distribute-lft-neg-out_binary64`
32×	`associate-/r/_binary64`
31×	`cube-prod_binary64`
28×	`distribute-rgt-neg-out_binary64`
27×	`+-commutative_binary64`
26×	`distribute-lft-neg-in_binary64`
22×	`associate-+l+_binary64`
21×	`*-rgt-identity_binary64`
20×	`distribute-neg-frac_binary64`
19×	`sqr-pow_binary64` `distribute-lft-out--_binary64`
18×	`swap-sqr_binary64`
15×	`cube-unmult_binary64`
13×	`distribute-lft-out_binary64`
10×	`distribute-rgt-out_binary64` `associate--l+_binary64` `associate-+r-_binary64`
8×	`distribute-neg-in_binary64`
6×	`exp-sqrt_binary64`
5×	`log-rec_binary64` `/-rgt-identity_binary64` `difference-of-squares_binary64`
4×	`cube-mult_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
3×	`exp-sum_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64` `unswap-sqr_binary64` `associate-+l-_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `exp-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `count-2_binary64` `associate-+r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_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` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-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` `pow-sqr_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--r-_binary64` `associate--l-_binary64`

Counts

363 → 296

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	514	15877
1	1636	9665
2	4595	9587
3	4840	9587
4	4958	9587

prune198.0ms (3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	291	5	296
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	296	8	304

Error

0.0b

Counts

304 → 8

Compiler

Compiled 4164 to 2370 computations (43.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
0.2b	(/.f64 (.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 (+.f64 a b))) (.f64 2 (-.f64 b a)))
0.2b	(/.f64 PI.f64 (+.f64 a b))
0.3b	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 (+.f64 a b)))

rewrite329.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

86×	`add-sqr-sqrt_binary64`
79×	`*-un-lft-identity_binary64`
71×	`times-frac_binary64`
33×	`add-cube-cbrt_binary64`
32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`associate-l_binary64`
18×	`difference-of-squares_binary64` `associate-r_binary64`
14×	`distribute-lft-out--_binary64`
13×	`cancel-sign-sub-inv_binary64`
12×	`div-inv_binary64`
10×	`div-exp_binary64` `cbrt-undiv_binary64`
9×	`prod-exp_binary64` `cbrt-unprod_binary64`
7×	`distribute-lft-out_binary64` `associate-/l/_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `frac-times_binary64` `flip3--_binary64` `flip--_binary64` `associate-*l/_binary64` `associate-/r/_binary64`
5×	`frac-sub_binary64` `associate-/r*_binary64`
4×	`associate-r/_binary64` `associate-/l_binary64`
2×	`unswap-sqr_binary64` `flip3-+_binary64` `flip-+_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

4 → 167

Calls

4 calls:

30.0ms	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 (+.f64 a b)))
25.0ms	(/.f64 (.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 (+.f64 a b))) (.f64 2 (-.f64 b a)))
14.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))
5.0ms	(/.f64 PI.f64 (+.f64 a b))

Compiler

Compiled 4497 to 2317 computations (48.5% saved)

series195.0ms (3%)

Error

0.0b

Counts

4 → 81

Calls

4 calls:

49.0ms	(/.f64 (.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 (+.f64 a b))) (.f64 2 (-.f64 b a)))
43.0ms	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 PI.f64 (+.f64 a b)))
38.0ms	(/.f64 PI.f64 (+.f64 a b))
20.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))

Compiler

Compiled 3144 to 2279 computations (27.5% saved)

simplify242.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

308×	`times-frac_binary64`
276×	`associate-/l*_binary64`
275×	`cancel-sign-sub-inv_binary64`
211×	`associate-/r*_binary64`
195×	`associate-l_binary64`
187×	`associate-r_binary64`
186×	`sub-neg_binary64`
178×	`*-commutative_binary64`
153×	`div-sub_binary64`
145×	`associate-*r/_binary64`
141×	`distribute-neg-frac_binary64`
127×	`associate-*l/_binary64`
112×	`distribute-rgt-in_binary64`
108×	`distribute-lft-in_binary64`
80×	`+-commutative_binary64`
78×	`neg-sub0_binary64`
77×	`log-div_binary64`
76×	`neg-mul-1_binary64`
70×	`log-prod_binary64`
66×	`associate-/l/_binary64` `associate-/r/_binary64`
64×	`cube-div_binary64`
59×	`exp-prod_binary64`
45×	`*-rgt-identity_binary64`
44×	`associate--l+_binary64`
43×	`unpow3_binary64`
39×	`sqr-pow_binary64`
35×	`distribute-rgt-neg-in_binary64`
33×	`associate--r+_binary64`
30×	`*-lft-identity_binary64` `unswap-sqr_binary64`
28×	`/-rgt-identity_binary64`
27×	`cube-prod_binary64`
26×	`cube-mult_binary64` `swap-sqr_binary64`
24×	`unsub-neg_binary64`
23×	`distribute-lft-neg-in_binary64`
17×	`exp-diff_binary64`
16×	`distribute-neg-in_binary64`
15×	`exp-sum_binary64` `distribute-lft-neg-out_binary64`
13×	`cube-unmult_binary64`
10×	`associate-+l+_binary64`
9×	`difference-of-squares_binary64`
8×	`distribute-lft-out--_binary64`
7×	`exp-sqrt_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
6×	`associate-+r-_binary64`
5×	`log-rec_binary64` `distribute-rgt-neg-out_binary64`
4×	`distribute-rgt-out--_binary64`
3×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `div0_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `pow-sqr_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` `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` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_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` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_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--r-_binary64`

Counts

248 → 161

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	341	6273
1	959	5607
2	3761	5499
3	4739	5499
4	4976	5493
5	4954	5493

prune125.0ms (1.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	157	4	161
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	160	9	169

Error

Counts

169 → 9

Compiler

Compiled 2390 to 1263 computations (47.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 a b) (*.f64 2 (-.f64 b a)))
0.2b	(/.f64 PI.f64 (+.f64 a b))
0.3b	(*.f64 (-.f64 b a) (/.f64 PI.f64 (+.f64 a b)))
1.0b	(/.f64 (.f64 (-.f64 b a) (/.f64 PI.f64 (+.f64 a b))) (.f64 (.f64 a b) (.f64 2 (-.f64 b a))))

rewrite239.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

92×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
44×	`prod-exp_binary64` `cbrt-unprod_binary64`
42×	`*-un-lft-identity_binary64`
33×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64` `times-frac_binary64`
22×	`div-exp_binary64` `cbrt-undiv_binary64`
19×	`associate-r_binary64`
18×	`pow1_binary64`
16×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`associate-*r/_binary64`
9×	`pow-prod-down_binary64`
7×	`distribute-lft-out_binary64`
6×	`flip3--_binary64` `flip--_binary64` `associate-/r/_binary64` `associate-l_binary64`
5×	`associate-/l/_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-/l_binary64` `sub-neg_binary64`
3×	`div-inv_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `unswap-sqr_binary64` `flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 166

Calls

4 calls:

18.0ms	(/.f64 (.f64 (-.f64 b a) (/.f64 PI.f64 (+.f64 a b))) (.f64 (.f64 a b) (.f64 2 (-.f64 b a))))
13.0ms	(*.f64 (-.f64 b a) (/.f64 PI.f64 (+.f64 a b)))
10.0ms	(.f64 (.f64 a b) (*.f64 2 (-.f64 b a)))
5.0ms	(/.f64 PI.f64 (+.f64 a b))

Compiler

Compiled 4691 to 1224 computations (73.9% saved)

series204.0ms (3.1%)

Error

Counts

4 → 81

Calls

4 calls:

46.0ms	(/.f64 (.f64 (-.f64 b a) (/.f64 PI.f64 (+.f64 a b))) (.f64 (.f64 a b) (.f64 2 (-.f64 b a))))
42.0ms	(*.f64 (-.f64 b a) (/.f64 PI.f64 (+.f64 a b)))
34.0ms	(/.f64 PI.f64 (+.f64 a b))
34.0ms	(.f64 (.f64 a b) (*.f64 2 (-.f64 b a)))

Compiler

Compiled 3398 to 2278 computations (33% saved)

simplify211.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

654×	`times-frac_binary64`
387×	`associate-/l_binary64` `associate-l*_binary64`
342×	`associate-/r_binary64` `associate-r*_binary64`
143×	`log-div_binary64`
116×	`div-sub_binary64`
114×	`associate-*r/_binary64`
99×	`associate-*l/_binary64`
96×	`*-commutative_binary64`
93×	`sub-neg_binary64` `associate-/r/_binary64`
87×	`distribute-rgt-in_binary64`
81×	`distribute-lft-in_binary64`
79×	`log-prod_binary64`
75×	`associate-/l/_binary64`
68×	`exp-prod_binary64`
46×	`cancel-sign-sub-inv_binary64`
36×	`cube-prod_binary64`
33×	`neg-mul-1_binary64`
32×	`neg-sub0_binary64` `+-commutative_binary64`
31×	`distribute-rgt-neg-in_binary64`
26×	`associate--l+_binary64`
25×	`distribute-lft-neg-in_binary64`
22×	`cube-div_binary64`
21×	`distribute-neg-in_binary64`
17×	`associate--r+_binary64`
16×	`distribute-rgt-neg-out_binary64`
15×	`distribute-lft-neg-out_binary64`
14×	`sqr-pow_binary64`
13×	`swap-sqr_binary64`
12×	`cube-unmult_binary64`
11×	`distribute-neg-frac_binary64`
10×	`distribute-lft-out--_binary64`
9×	`exp-sum_binary64`
8×	`log-rec_binary64`
7×	`associate-+r+_binary64`
6×	`distribute-lft-out_binary64`
5×	`log-pow_binary64` `exp-diff_binary64` `distribute-rgt-out_binary64`
4×	`count-2_binary64`
3×	`exp-lft-sqr_binary64` `/-rgt-identity_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-rgt-out--_binary64`
2×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `associate-+l+_binary64`
1×	`exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `*-rgt-identity_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_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` `-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` `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--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

247 → 187

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	6715
1	1022	5405
2	4338	5386
3	4891	5386
4	4967	5386

prune87.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	187	9	196

Error

Counts

196 → 9

Compiler

Compiled 1756 to 575 computations (67.3% saved)

regimes1.3s (19%)

Accuracy

Total 0.3b remaining (84.9%)

Threshold costs 0.3b (84.9%)

Compiler

Compiled 21446 to 16192 computations (24.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64` `*-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_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` `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-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	15	29
1	24	29
2	33	29
3	37	29
4	39	29
5	37	29

end1.0ms (0%)

Compiler: Compiled 19 to 15 computations (21.1% saved)

sample931.0ms (14.1%)

Algorithm

1×

intervals

Results

461.0ms	8000×	body	128	valid
24.0ms	351×	body	128	invalid

Compiler

Compiled 244 to 189 computations (22.5% saved)

Details

analyze286.0ms (4.3%)

sample25.0ms (0.4%)

simplify55.0ms (0.8%)

prune3.0ms (0.1%)

localize16.0ms (0.2%)

rewrite416.0ms (6.3%)

series171.0ms (2.6%)

simplify270.0ms (4.1%)

prune154.0ms (2.3%)

localize19.0ms (0.3%)

rewrite609.0ms (9.2%)

series202.0ms (3.1%)

simplify333.0ms (5%)

prune198.0ms (3%)

localize12.0ms (0.2%)

rewrite329.0ms (5%)

series195.0ms (3%)

simplify242.0ms (3.7%)

prune125.0ms (1.9%)

localize11.0ms (0.2%)

rewrite239.0ms (3.6%)

series204.0ms (3.1%)

simplify211.0ms (3.2%)

prune87.0ms (1.3%)

regimes1.3s (19%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample931.0ms (14.1%)

Profiling