Details

analyze847.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

736×	`distribute-rgt-in_binary64`
734×	`distribute-lft-in_binary64`
592×	`associate-l_binary64`
568×	`unsub-neg_binary64`
518×	`associate-r_binary64`
221×	`neg-sub0_binary64`
141×	`neg-mul-1_binary64` `associate-+l+_binary64`
127×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
107×	`associate-*r/_binary64`
105×	`associate-*l/_binary64`
84×	`*-commutative_binary64`
70×	`div-sub_binary64`
52×	`associate-/l*_binary64`
32×	`sub-neg_binary64`
24×	`distribute-lft-neg-in_binary64`
22×	`distribute-rgt-neg-in_binary64` `associate-+l-_binary64`
20×	`associate-+r-_binary64` `+-commutative_binary64`
16×	`associate-/r/_binary64`
14×	`associate-+r+_binary64`
12×	`distribute-rgt-out_binary64` `distribute-lft-out_binary64`
8×	`distribute-neg-in_binary64` `associate-/r*_binary64`
5×	`sub0-neg_binary64`
4×	`+-rgt-identity_binary64` `associate--r+_binary64`
3×	`distribute-neg-frac_binary64`
2×	`distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_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` `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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--l-_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	160
1	120	160
2	303	160
3	994	154
4	4495	154
5	5431	154
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
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
74.9%	25%	0.1%	13
74.9%	25%	0.1%	14

Compiler

Compiled 51 to 41 computations (19.6% saved)

sample172.0ms (0.9%)

Algorithm

1×

intervals

Results

115.0ms	122×	body	1024	valid
24.0ms	40×	body	512	valid
16.0ms	83×	body	128	valid
4.0ms	11×	body	256	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

444×	`distribute-rgt-neg-out_binary64`
438×	`distribute-lft-neg-out_binary64`
418×	`distribute-rgt-in_binary64`
417×	`distribute-lft-in_binary64`
358×	`associate-*l/_binary64`
350×	`unsub-neg_binary64`
275×	`associate-l_binary64`
239×	`associate-r_binary64`
176×	`div-sub_binary64`
148×	`*-commutative_binary64`
124×	`distribute-neg-out_binary64`
117×	`associate-/l*_binary64`
103×	`neg-sub0_binary64`
86×	`distribute-rgt-out_binary64`
84×	`distribute-lft-out_binary64`
64×	`associate-+l+_binary64`
61×	`neg-mul-1_binary64`
60×	`associate-+r+_binary64`
58×	`associate-*r/_binary64`
50×	`sub-neg_binary64`
40×	`distribute-lft-neg-in_binary64`
34×	`distribute-rgt-neg-in_binary64`
28×	`times-frac_binary64`
27×	`distribute-neg-in_binary64`
26×	`+-commutative_binary64`
24×	`associate-/r/_binary64`
23×	`cancel-sign-sub-inv_binary64`
20×	`mul0-rgt_binary64` `mul0-lft_binary64`
14×	`associate-/r*_binary64`
12×	`mul-1-neg_binary64`
11×	`distribute-frac-neg_binary64` `associate-+l-_binary64`
9×	`associate-+r-_binary64`
7×	`sub0-neg_binary64`
5×	`distribute-neg-frac_binary64`
3×	`+-rgt-identity_binary64` `associate-/l/_binary64`
2×	`remove-double-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_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` `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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `--rgt-identity_binary64` `+-lft-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` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	80
1	80	80
2	190	80
3	581	77
4	2012	77
5	4670	77
6	4940	77

prune6.0ms (0%)

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

0.3b

Counts

2 → 2

Compiler

Compiled 146 to 116 computations (20.5% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(-.f64 3 (sqrt.f64 5))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite604.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

44×	`add-sqr-sqrt_binary64`
41×	`cancel-sign-sub-inv_binary64`
35×	`*-un-lft-identity_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`associate-*r/_binary64` `frac-times_binary64`
27×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
18×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
15×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`associate-*l/_binary64`
12×	`associate-r_binary64`
8×	`add-log-exp_binary64` `sqrt-prod_binary64`
7×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
6×	`sub-neg_binary64` `difference-of-squares_binary64`
4×	`distribute-lft-out--_binary64`
2×	`diff-cos_binary64` `diff-log_binary64` `unswap-sqr_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 150

Calls

4 calls:

25.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 9293 to 5843 computations (37.1% saved)

series176.0ms (0.9%)

Error

0.3b

Counts

4 → 22

Calls

4 calls:

76.0ms	(.f64 (.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16))) (-.f64 (cos.f64 x) (cos.f64 y)))
38.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
29.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 2879 to 2277 computations (20.9% saved)

simplify183.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-l_binary64`
620×	`associate-r_binary64`
331×	`distribute-rgt-in_binary64`
328×	`distribute-lft-in_binary64`
160×	`*-commutative_binary64`
78×	`associate-*l/_binary64`
72×	`associate-*r/_binary64`
52×	`neg-mul-1_binary64`
51×	`distribute-lft-neg-out_binary64`
49×	`sub-neg_binary64`
48×	`neg-sub0_binary64`
39×	`distribute-rgt-neg-out_binary64`
38×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
36×	`log-prod_binary64`
32×	`associate-/l*_binary64`
27×	`+-commutative_binary64`
22×	`sqr-pow_binary64` `distribute-lft-neg-in_binary64`
21×	`distribute-neg-frac_binary64`
13×	`exp-prod_binary64`
10×	`swap-sqr_binary64` `associate-/l/_binary64`
7×	`unpow3_binary64` `cube-unmult_binary64` `cube-mult_binary64`
6×	`difference-of-squares_binary64` `distribute-neg-in_binary64` `associate-/r*_binary64`
5×	`rem-square-sqrt_binary64` `distribute-rgt-out_binary64`
4×	`associate-+r+_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `times-frac_binary64` `div-sub_binary64` `*-rgt-identity_binary64` `associate-/r/_binary64` `associate--r+_binary64` `associate-+l+_binary64`
2×	`div-exp_binary64` `exp-sum_binary64` `cube-div_binary64` `/-rgt-identity_binary64` `associate--l+_binary64`
1×	`1-exp_binary64` `rem-sqrt-square_binary64` `distribute-rgt-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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_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` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-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` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

172 → 121

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	393	6366
1	1193	5951
2	4999	5951
3	4993	5951

prune262.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	113	8	121
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	114	9	123

Error

0.1b

Counts

123 → 9

Compiler

Compiled 5716 to 3710 computations (35.1% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(-.f64 3 (sqrt.f64 5))
1.4b	(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))) (.f64 (neg.f64 (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))))

rewrite2.2s (11.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

260×	`associate-*r/_binary64`
162×	`cancel-sign-sub-inv_binary64`
140×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
118×	`add-sqr-sqrt_binary64`
110×	`times-frac_binary64`
102×	`*-un-lft-identity_binary64`
99×	`flip3--_binary64` `flip--_binary64`
96×	`add-cube-cbrt_binary64`
64×	`frac-times_binary64` `frac-add_binary64`
56×	`associate-+l+_binary64` `associate-+r+_binary64`
32×	`associate-*l/_binary64`
13×	`sub-neg_binary64`
12×	`div-inv_binary64` `sqrt-prod_binary64` `associate-l_binary64` `associate-r_binary64`
8×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`difference-of-squares_binary64`
4×	`unswap-sqr_binary64`
3×	`distribute-lft-out--_binary64`
2×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `distribute-lft-neg-out_binary64` `unsub-neg_binary64` `flip-+_binary64` `distribute-rgt-out_binary64` `+-commutative_binary64` `diff-log_binary64`

Counts

4 → 319

Calls

4 calls:

43.0ms	(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))) (.f64 (neg.f64 (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))))
14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
5.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 33044 to 20062 computations (39.3% saved)

series412.0ms (2.1%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

242.0ms	(+.f64 (.f64 (cos.f64 x) (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))) (.f64 (neg.f64 (cos.f64 y)) (.f64 (.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) 16)))))
47.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
47.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 4603 to 3422 computations (25.7% saved)

simplify838.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

347×	`*-commutative_binary64`
257×	`associate-r_binary64`
213×	`associate-l_binary64`
203×	`distribute-lft-neg-out_binary64`
197×	`associate-*l/_binary64`
190×	`distribute-rgt-neg-out_binary64`
184×	`associate-*r/_binary64`
154×	`+-commutative_binary64`
93×	`associate-+l+_binary64`
91×	`associate-+r+_binary64`
84×	`exp-prod_binary64`
83×	`neg-mul-1_binary64`
79×	`neg-sub0_binary64`
74×	`cancel-sign-sub-inv_binary64`
71×	`distribute-rgt-neg-in_binary64`
70×	`sub-neg_binary64`
68×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
52×	`associate-/l*_binary64`
47×	`cube-prod_binary64`
42×	`unpow3_binary64` `associate--r+_binary64`
41×	`distribute-rgt-out_binary64`
38×	`distribute-lft-neg-in_binary64`
34×	`associate--l+_binary64`
32×	`distribute-neg-frac_binary64`
30×	`cube-mult_binary64`
26×	`sqr-pow_binary64`
21×	`swap-sqr_binary64`
20×	`associate-/l/_binary64`
16×	`unsub-neg_binary64`
15×	`distribute-rgt-out--_binary64`
14×	`distribute-neg-in_binary64`
12×	`exp-diff_binary64`
10×	`log-prod_binary64` `cube-unmult_binary64` `associate-/r*_binary64`
9×	`exp-sum_binary64`
8×	`cube-div_binary64` `distribute-lft-out_binary64`
6×	`exp-neg_binary64` `times-frac_binary64` `associate-/r/_binary64`
5×	`rem-square-sqrt_binary64` `difference-of-squares_binary64` `associate-+r-_binary64`
4×	`div-sub_binary64` `/-rgt-identity_binary64`
3×	`rem-3cbrt-lft_binary64` `distribute-lft-out--_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `associate-+l-_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `*-rgt-identity_binary64` `cancel-sign-sub_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` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `-lft-identity_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` `unswap-sqr_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

343 → 295

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	773	26955
1	2506	25760
2	4900	25376
3	4902	25376
4	4991	25200
5	4981	25200

prune1.1s (5.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	292	3	295
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	295	9	304

Error

0.1b

Counts

304 → 9

Compiler

Compiled 23636 to 15155 computations (35.9% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.6b	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
1.0b	(-.f64 3 (sqrt.f64 5))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite537.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

47×	`cancel-sign-sub-inv_binary64`
44×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
30×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
29×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`add-log-exp_binary64` `sub-neg_binary64` `sqrt-prod_binary64`
7×	`associate-r_binary64`
6×	`associate-*r/_binary64`
5×	`difference-of-squares_binary64`
4×	`flip3--_binary64` `flip--_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
3×	`distribute-lft-out--_binary64`
2×	`diff-log_binary64` `*-commutative_binary64` `unswap-sqr_binary64` `div-inv_binary64`
1×	`diff-cos_binary64`

Counts

4 → 128

Calls

4 calls:

14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
10.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 6673 to 4440 computations (33.5% saved)

series130.0ms (0.7%)

Error

0.1b

Counts

4 → 19

Calls

4 calls:

36.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
31.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
24.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 2297 to 1798 computations (21.7% saved)

simplify140.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

396×	`distribute-rgt-in_binary64`
363×	`distribute-lft-in_binary64`
253×	`associate-l_binary64`
238×	`associate-r_binary64`
208×	`*-commutative_binary64`
177×	`exp-prod_binary64`
149×	`distribute-lft-neg-out_binary64`
141×	`distribute-rgt-neg-out_binary64`
119×	`cancel-sign-sub-inv_binary64`
115×	`neg-sub0_binary64`
109×	`sub-neg_binary64`
106×	`neg-mul-1_binary64`
104×	`distribute-rgt-neg-in_binary64`
69×	`distribute-lft-neg-in_binary64`
68×	`associate-*l/_binary64`
62×	`associate-*r/_binary64`
59×	`exp-sum_binary64`
55×	`distribute-neg-frac_binary64`
53×	`+-commutative_binary64`
52×	`times-frac_binary64`
42×	`*-lft-identity_binary64`
40×	`*-rgt-identity_binary64`
37×	`sqr-pow_binary64`
34×	`exp-neg_binary64` `unsub-neg_binary64`
29×	`exp-diff_binary64`
24×	`distribute-frac-neg_binary64`
23×	`log-prod_binary64`
22×	`associate-/l*_binary64`
20×	`cube-prod_binary64`
19×	`div-sub_binary64` `unswap-sqr_binary64`
16×	`swap-sqr_binary64`
15×	`unpow3_binary64`
14×	`associate--r+_binary64`
13×	`associate--l+_binary64` `associate-+l+_binary64`
12×	`cube-unmult_binary64` `distribute-neg-in_binary64` `distribute-rgt-out_binary64`
10×	`associate-/l/_binary64` `associate-+r+_binary64`
9×	`mul-1-neg_binary64`
7×	`distribute-rgt-out--_binary64`
6×	`cube-mult_binary64` `rem-square-sqrt_binary64` `difference-of-squares_binary64` `associate-/r*_binary64`
5×	`rem-3cbrt-lft_binary64`
4×	`rem-sqrt-square_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
3×	`/-rgt-identity_binary64` `associate-/r/_binary64`
2×	`unpow1/2_binary64` `pow-plus_binary64` `div-exp_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `div0_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `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` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_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

147 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	2800
1	764	2632
2	2220	2431
3	4638	2431
4	4907	2431

prune181.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	99	10	109

Error

0.1b

Counts

109 → 10

Compiler

Compiled 3231 to 2212 computations (31.5% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.8b	(.f64 (.f64 (cos.f64 x) 3/2) (-.f64 (sqrt.f64 5) 1))
1.0b	(-.f64 3 (sqrt.f64 5))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite507.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

51×	`add-sqr-sqrt_binary64`
41×	`cancel-sign-sub-inv_binary64`
38×	`*-un-lft-identity_binary64`
27×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
18×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
17×	`associate-r_binary64`
12×	`sqrt-prod_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`difference-of-squares_binary64`
8×	`add-log-exp_binary64`
7×	`associate-l_binary64`
6×	`sub-neg_binary64`
5×	`distribute-lft-out--_binary64`
4×	`flip3--_binary64` `flip--_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64`
2×	`diff-log_binary64` `difference-of-sqr-1_binary64` `*-commutative_binary64` `unswap-sqr_binary64` `div-inv_binary64`
1×	`diff-cos_binary64`

Counts

4 → 128

Calls

4 calls:

14.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
10.0ms	(.f64 (.f64 (cos.f64 x) 3/2) (-.f64 (sqrt.f64 5) 1))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 6438 to 4289 computations (33.4% saved)

series126.0ms (0.7%)

Error

0.1b

Counts

4 → 19

Calls

4 calls:

38.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
28.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
25.0ms	(.f64 (.f64 (cos.f64 x) 3/2) (-.f64 (sqrt.f64 5) 1))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 2345 to 1829 computations (22% saved)

simplify170.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

384×	`distribute-rgt-in_binary64`
345×	`exp-prod_binary64`
343×	`distribute-lft-in_binary64`
303×	`associate-l_binary64`
259×	`associate-r_binary64`
214×	`*-commutative_binary64`
144×	`distribute-lft-neg-out_binary64`
140×	`distribute-rgt-neg-out_binary64`
119×	`cancel-sign-sub-inv_binary64`
112×	`neg-sub0_binary64`
109×	`sub-neg_binary64`
105×	`distribute-rgt-neg-in_binary64`
103×	`neg-mul-1_binary64`
69×	`distribute-lft-neg-in_binary64`
68×	`associate-*l/_binary64`
62×	`associate-*r/_binary64`
57×	`exp-sum_binary64`
55×	`distribute-neg-frac_binary64`
54×	`+-commutative_binary64`
52×	`times-frac_binary64` `*-lft-identity_binary64`
49×	`*-rgt-identity_binary64`
43×	`sqr-pow_binary64`
33×	`log-prod_binary64`
31×	`exp-neg_binary64`
29×	`exp-diff_binary64`
26×	`cube-prod_binary64`
24×	`distribute-frac-neg_binary64`
22×	`associate-/l*_binary64`
21×	`unsub-neg_binary64`
20×	`div-sub_binary64` `swap-sqr_binary64`
15×	`unpow3_binary64` `unswap-sqr_binary64`
14×	`distribute-rgt-out_binary64` `associate--r+_binary64`
13×	`associate--l+_binary64` `associate-+l+_binary64`
12×	`cube-unmult_binary64` `distribute-neg-in_binary64`
10×	`associate-/l/_binary64` `associate-+r+_binary64`
8×	`mul-1-neg_binary64`
7×	`distribute-rgt-out--_binary64`
6×	`cube-mult_binary64` `rem-square-sqrt_binary64` `difference-of-squares_binary64` `associate-/r*_binary64`
5×	`rem-3cbrt-lft_binary64`
4×	`rem-sqrt-square_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
3×	`unpow1/2_binary64` `/-rgt-identity_binary64` `associate-/r/_binary64`
2×	`pow-plus_binary64` `unpow-1_binary64` `div-exp_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `div0_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_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-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_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

147 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	2774
1	772	2609
2	2365	2408
3	4646	2408
4	4993	2408
5	5025	2408

prune161.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	96	11	107

Error

0.1b

Counts

107 → 11

Compiler

Compiled 2371 to 1591 computations (32.9% saved)

regimes4.6s (23.7%)

Accuracy

Total 0.3b remaining (68.6%)

Threshold costs 0.3b (68.6%)

Compiler

Compiled 98549 to 74554 computations (24.3% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
18×	`+-commutative_binary64`
14×	`sub-neg_binary64`
11×	`neg-mul-1_binary64` `neg-sub0_binary64`
3×	`distribute-neg-frac_binary64`
2×	`unsub-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `cancel-sign-sub-inv_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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	97
1	68	97
2	91	97
3	112	97
4	126	97
5	133	97
6	135	97
7	133	97

end2.0ms (0%)

Compiler: Compiled 60 to 50 computations (16.7% saved)

sample5.9s (30.3%)

Algorithm

1×

intervals

Results

3.2s	3498×	body	1024	valid
848.0ms	1311×	body	512	valid
513.0ms	2604×	body	128	valid
239.0ms	567×	body	256	valid
34.0ms	20×	body	2048	valid

Compiler

Compiled 979 to 735 computations (24.9% saved)

Details

analyze847.0ms (4.4%)

sample172.0ms (0.9%)

simplify51.0ms (0.3%)

prune6.0ms (0%)

localize36.0ms (0.2%)

rewrite604.0ms (3.1%)

series176.0ms (0.9%)

simplify183.0ms (0.9%)

prune262.0ms (1.4%)

localize36.0ms (0.2%)

rewrite2.2s (11.3%)

series412.0ms (2.1%)

simplify838.0ms (4.3%)

prune1.1s (5.5%)

localize34.0ms (0.2%)

rewrite537.0ms (2.8%)

series130.0ms (0.7%)

simplify140.0ms (0.7%)

prune181.0ms (0.9%)

localize30.0ms (0.2%)

rewrite507.0ms (2.6%)

series126.0ms (0.7%)

simplify170.0ms (0.9%)

prune161.0ms (0.8%)

regimes4.6s (23.7%)

bsearch0.0ms (0%)

simplify8.0ms (0%)

end2.0ms (0%)

sample5.9s (30.3%)

Profiling