Details

analyze2.5s (10.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

872×	`times-frac_binary64`
354×	`associate-l_binary64`
324×	`associate-*l/_binary64`
318×	`associate-r_binary64`
230×	`associate-*r/_binary64`
186×	`associate-/r*_binary64`
176×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
152×	`associate-/l*_binary64`
146×	`*-commutative_binary64`
120×	`associate-/r/_binary64`
90×	`div-sub_binary64`
71×	`distribute-rgt-neg-in_binary64`
59×	`distribute-lft-neg-in_binary64`
52×	`distribute-neg-frac_binary64`
49×	`unswap-sqr_binary64`
33×	`mul-1-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
28×	`sqr-pow_binary64` `associate-/l/_binary64`
20×	`+-commutative_binary64`
16×	`unsub-neg_binary64` `sub-neg_binary64`
14×	`cube-unmult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
12×	`difference-of-sqr-1_binary64`
11×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
10×	`unpow3_binary64`
8×	`distribute-rgt-out_binary64` `associate--l+_binary64` `associate-+r+_binary64`
7×	`neg-sub0_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
3×	`cube-mult_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` `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` `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-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-square-sqrt_binary64` `neg-mul-1_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	152
1	153	140
2	593	128
3	3065	128
4	4952	128
5	5080	128
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.5%	0.5%	11
0%	99.1%	0.9%	12
0.4%	97.3%	2.3%	13
0.7%	95.8%	3.5%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample395.0ms (1.6%)

Algorithm

1×

intervals

Results

122.0ms	40×	body	4096	invalid
71.0ms	35×	body	2048	invalid
66.0ms	126×	body	1024	valid
33.0ms	37×	body	2048	valid
21.0ms	45×	body	512	valid
21.0ms	13×	body	4096	valid
19.0ms	31×	body	1024	invalid
5.0ms	42×	body	128	invalid
4.0ms	12×	body	512	invalid
4.0ms	16×	body	256	invalid
3.0ms	12×	body	256	valid
3.0ms	23×	body	128	valid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

856×	`associate-*l/_binary64`
739×	`associate-*r/_binary64`
417×	`associate-/r/_binary64`
392×	`associate-/r*_binary64`
347×	`distribute-rgt-in_binary64`
323×	`distribute-lft-in_binary64`
280×	`associate-/l*_binary64`
194×	`times-frac_binary64`
88×	`associate-l_binary64`
80×	`associate-/l/_binary64`
79×	`associate-r_binary64`
40×	`distribute-rgt-out_binary64`
37×	`*-commutative_binary64`
35×	`distribute-lft-out_binary64`
18×	`distribute-rgt-neg-in_binary64`
15×	`distribute-lft-neg-in_binary64`
13×	`distribute-neg-frac_binary64`
10×	`unswap-sqr_binary64`
9×	`mul-1-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
8×	`sqr-pow_binary64`
5×	`+-commutative_binary64`
4×	`unsub-neg_binary64` `sub-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
3×	`difference-of-sqr-1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
2×	`cube-unmult_binary64` `neg-sub0_binary64` `associate--l+_binary64` `associate-+r+_binary64`
1×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `1-exp_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_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` `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` `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-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-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	52	35
2	172	32
3	806	32
4	5185	32

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

42.6b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
1.3b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
19.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))
29.2b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite417.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

28.1b

Rules

228×	`add-exp-log_binary64`
139×	`prod-exp_binary64`
52×	`add-cbrt-cube_binary64`
51×	`div-exp_binary64`
37×	`times-frac_binary64`
33×	`add-sqr-sqrt_binary64`
32×	`pow-exp_binary64`
26×	`cbrt-unprod_binary64`
24×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
23×	`pow-to-exp_binary64` `unpow-prod-down_binary64`
18×	`associate-l_binary64`
12×	`associate-/l*_binary64`
11×	`pow1_binary64`
10×	`associate-*l/_binary64` `cube-prod_binary64`
8×	`cbrt-undiv_binary64`
5×	`sqr-pow_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64` `tan-quot_binary64` `pow-prod-down_binary64`
3×	`div-inv_binary64` `*-commutative_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`frac-times_binary64` `associate-*r/_binary64`
1×	`unpow2_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`

Counts

4 → 187

Calls

4 calls:

21.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
17.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
11.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 4542 to 2196 computations (51.7% saved)

series289.0ms (1.2%)

Error

24.7b

Counts

4 → 37

Calls

4 calls:

101.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
88.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
56.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
26.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 1803 to 1514 computations (16% saved)

simplify183.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

493×	`associate-l_binary64`
489×	`unswap-sqr_binary64`
346×	`associate-r_binary64`
322×	`log-prod_binary64`
228×	`associate-/l/_binary64`
182×	`*-commutative_binary64`
149×	`associate-*l/_binary64`
137×	`times-frac_binary64`
134×	`log-div_binary64`
131×	`associate-/l*_binary64`
93×	`sqr-pow_binary64`
89×	`associate-/r*_binary64`
78×	`associate-*r/_binary64`
66×	`swap-sqr_binary64`
64×	`cube-prod_binary64`
51×	`exp-prod_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
50×	`*-lft-identity_binary64`
39×	`associate-+l+_binary64`
36×	`*-rgt-identity_binary64`
35×	`log-pow_binary64`
33×	`+-commutative_binary64`
32×	`cancel-sign-sub-inv_binary64`
29×	`sub-neg_binary64`
25×	`cube-div_binary64`
20×	`associate-/r/_binary64`
19×	`cube-unmult_binary64`
15×	`associate-+r+_binary64`
14×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
13×	`pow-sqr_binary64` `distribute-rgt-in_binary64`
12×	`pow-plus_binary64` `distribute-neg-frac_binary64`
11×	`rem-sqrt-square_binary64`
9×	`associate-+l-_binary64`
8×	`distribute-lft-in_binary64`
6×	`unpow3_binary64` `distribute-neg-in_binary64`
5×	`cube-mult_binary64`
4×	`/-rgt-identity_binary64`
3×	`rem-square-sqrt_binary64` `count-2_binary64` `associate-+r-_binary64`
2×	`rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `associate--r+_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `unsub-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

224 → 198

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	5503
1	662	4815
2	2942	4790
3	4828	4790
4	5237	4790

prune145.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	189	9	198
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	190	9	199

Error

19.4b

Counts

199 → 9

Compiler

Compiled 2476 to 1296 computations (47.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
1.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.1b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
21.2b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))

rewrite382.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

13.0b

Rules

320×	`add-exp-log_binary64`
183×	`prod-exp_binary64`
173×	`add-cbrt-cube_binary64`
87×	`cbrt-unprod_binary64`
82×	`div-exp_binary64`
46×	`cbrt-undiv_binary64`
23×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
15×	`pow-to-exp_binary64` `pow-exp_binary64`
9×	`pow1_binary64` `associate-r_binary64`
6×	`div-inv_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64` `associate-/l_binary64` `associate-l*_binary64` `unpow-prod-down_binary64` `unswap-sqr_binary64`
3×	`pow-prod-down_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `*-commutative_binary64` `unpow2_binary64` `sqr-pow_binary64`
1×	`associate-/r/_binary64`

Counts

4 → 184

Calls

4 calls:

16.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
14.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
9.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
9.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))

Compiler

Compiled 5535 to 2101 computations (62% saved)

series287.0ms (1.2%)

Error

19.2b

Counts

4 → 42

Calls

4 calls:

104.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
90.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))
34.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
27.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 1960 to 1558 computations (20.5% saved)

simplify259.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

569×	`times-frac_binary64`
292×	`associate-r_binary64`
288×	`associate-/r*_binary64`
264×	`associate-/l*_binary64`
257×	`cancel-sign-sub-inv_binary64`
252×	`log-div_binary64`
246×	`associate-l_binary64`
230×	`log-prod_binary64`
158×	`distribute-rgt-neg-in_binary64`
149×	`*-commutative_binary64`
147×	`distribute-lft-neg-in_binary64`
132×	`sub-neg_binary64`
106×	`associate-/r/_binary64`
92×	`unswap-sqr_binary64`
75×	`associate-*l/_binary64`
69×	`swap-sqr_binary64`
67×	`exp-prod_binary64`
53×	`distribute-neg-frac_binary64`
52×	`cube-prod_binary64`
51×	`associate-*r/_binary64`
50×	`neg-mul-1_binary64` `neg-sub0_binary64`
49×	`distribute-neg-in_binary64`
48×	`sqr-pow_binary64`
47×	`+-commutative_binary64`
38×	`associate-/l/_binary64`
35×	`associate--r+_binary64`
33×	`associate--l+_binary64`
29×	`cube-div_binary64`
27×	`*-rgt-identity_binary64`
24×	`associate-+l+_binary64`
23×	`associate-+r+_binary64`
20×	`log-pow_binary64`
19×	`unsub-neg_binary64`
16×	`*-lft-identity_binary64`
15×	`/-rgt-identity_binary64`
13×	`cube-unmult_binary64` `associate--r-_binary64`
11×	`log-rec_binary64` `div-sub_binary64`
8×	`pow-plus_binary64` `distribute-rgt-out_binary64`
7×	`distribute-lft-neg-out_binary64`
6×	`pow-sqr_binary64` `distribute-frac-neg_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
4×	`distribute-rgt-out--_binary64`
2×	`rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64` `count-2_binary64`
1×	`unpow3_binary64` `exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `div0_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

226 → 176

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	8087
1	668	6048
2	3338	6040
3	4682	6040
4	4975	6040
5	4996	6040

prune107.0ms (0.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	167	9	176
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	172	13	185

Error

18.3b

Counts

185 → 13

Compiler

Compiled 1609 to 827 computations (48.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (sin.f64 k) 2)
1.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
8.6b	(.f64 (/.f64 (.f64 l l) (.f64 k k)) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
19.3b	(/.f64 (.f64 l l) (.f64 k k))

rewrite339.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

185×	`add-exp-log_binary64`
120×	`add-cbrt-cube_binary64`
76×	`prod-exp_binary64`
73×	`div-exp_binary64`
46×	`cbrt-unprod_binary64`
45×	`cbrt-undiv_binary64`
38×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
34×	`associate-r_binary64`
24×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`unswap-sqr_binary64` `associate-l_binary64`
7×	`pow1_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow-prod-down_binary64`
6×	`div-inv_binary64`
4×	`add-log-exp_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `pow-unpow_binary64`
2×	`*-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `associate-/r_binary64` `pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-/r/_binary64` `pow-pow_binary64`

Counts

4 → 163

Calls

4 calls:

20.0ms	(.f64 (/.f64 (.f64 l l) (.f64 k k)) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
6.0ms	(/.f64 (.f64 l l) (.f64 k k))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 4820 to 1954 computations (59.5% saved)

series190.0ms (0.8%)

Error

18.3b

Counts

4 → 33

Calls

4 calls:

104.0ms	(.f64 (/.f64 (.f64 l l) (.f64 k k)) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
26.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
22.0ms	(/.f64 (.f64 l l) (.f64 k k))
13.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1527 to 1197 computations (21.6% saved)

simplify205.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

333×	`associate-l_binary64`
283×	`times-frac_binary64`
275×	`associate-*r/_binary64`
270×	`associate-*l/_binary64`
267×	`associate-r_binary64`
249×	`associate-/l*_binary64`
216×	`cancel-sign-sub-inv_binary64`
188×	`associate-/r*_binary64`
183×	`*-commutative_binary64`
161×	`log-div_binary64`
153×	`log-prod_binary64`
104×	`unswap-sqr_binary64`
103×	`cube-div_binary64`
98×	`sub-neg_binary64`
96×	`distribute-rgt-neg-in_binary64`
93×	`associate-/r/_binary64`
89×	`exp-prod_binary64` `distribute-lft-neg-in_binary64`
78×	`associate--r+_binary64`
76×	`associate-/l/_binary64`
65×	`associate--l+_binary64`
56×	`sqr-pow_binary64`
50×	`*-rgt-identity_binary64`
42×	`*-lft-identity_binary64`
37×	`unpow3_binary64`
35×	`distribute-neg-frac_binary64` `distribute-neg-in_binary64`
34×	`cube-mult_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `+-commutative_binary64`
33×	`cube-prod_binary64`
28×	`swap-sqr_binary64` `associate--r-_binary64`
27×	`log-pow_binary64`
24×	`associate-+l-_binary64`
22×	`/-rgt-identity_binary64`
20×	`cube-unmult_binary64`
18×	`pow-plus_binary64` `distribute-rgt-in_binary64`
15×	`unsub-neg_binary64`
13×	`distribute-rgt-out_binary64` `associate--l-_binary64`
12×	`distribute-rgt-out--_binary64`
11×	`pow-sqr_binary64` `associate-+l+_binary64`
9×	`distribute-lft-out--_binary64`
8×	`unpow1/2_binary64` `associate-+r-_binary64`
6×	`unpow2_binary64` `unpow1_binary64`
5×	`log-rec_binary64` `associate-+r+_binary64`
4×	`distribute-lft-neg-out_binary64` `distribute-lft-out_binary64`
3×	`rem-sqrt-square_binary64` `remove-double-div_binary64` `distribute-lft-in_binary64`
2×	`count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64`

Counts

196 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	303	5846
1	753	4322
2	3565	4233
3	4557	4230
4	4979	4230
5	4996	4230

prune125.0ms (0.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	130	10	140
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	138	15	153

Error

5.9b

Counts

153 → 15

Compiler

Compiled 1603 to 816 computations (49.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k)))
0.4b	(pow.f64 (sin.f64 k) 2)
1.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
8.6b	(.f64 (.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k))) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))

rewrite487.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

64×	`add-exp-log_binary64`
40×	`add-cbrt-cube_binary64`
38×	`add-sqr-sqrt_binary64`
37×	`associate-r_binary64`
31×	`times-frac_binary64`
28×	`prod-exp_binary64`
27×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
18×	`div-exp_binary64`
17×	`pow1_binary64`
16×	`cbrt-unprod_binary64`
10×	`cbrt-undiv_binary64`
7×	`unswap-sqr_binary64` `associate-l_binary64` `unpow-prod-down_binary64`
4×	`pow-prod-down_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `add-log-exp_binary64` `div-inv_binary64`
3×	`*-commutative_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-unpow_binary64` `swap-sqr_binary64`
1×	`associate-*r/_binary64` `associate-/r/_binary64` `pow-pow_binary64` `pow2_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `sqr-abs_binary64` `pow-sqr_binary64`

Counts

4 → 131

Calls

4 calls:

18.0ms	(.f64 (.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k))) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.0ms	(*.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k)))
3.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 3818 to 1487 computations (61.1% saved)

series183.0ms (0.7%)

Error

5.9b

Counts

4 → 33

Calls

4 calls:

100.0ms	(.f64 (.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k))) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
28.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
17.0ms	(*.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k)))
10.0ms	(pow.f64 (sin.f64 k) 2)

Compiler

Compiled 1629 to 1174 computations (27.9% saved)

simplify167.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

482×	`associate-l_binary64`
321×	`associate-r_binary64`
292×	`log-prod_binary64`
187×	`cancel-sign-sub-inv_binary64`
182×	`cube-prod_binary64`
179×	`associate-/l*_binary64`
172×	`*-commutative_binary64`
164×	`times-frac_binary64`
156×	`unswap-sqr_binary64`
153×	`exp-prod_binary64`
137×	`log-div_binary64`
133×	`associate-*r/_binary64`
102×	`associate-/r*_binary64`
99×	`cube-div_binary64`
86×	`associate-*l/_binary64`
84×	`distribute-rgt-neg-in_binary64`
77×	`distribute-lft-neg-in_binary64` `associate-/r/_binary64`
75×	`associate-+l+_binary64`
67×	`sub-neg_binary64`
61×	`associate--r+_binary64`
60×	`sqr-pow_binary64`
56×	`associate-+r+_binary64` `+-commutative_binary64`
53×	`*-rgt-identity_binary64`
51×	`associate--l+_binary64`
47×	`unpow3_binary64`
45×	`*-lft-identity_binary64`
44×	`cube-mult_binary64` `associate-+r-_binary64`
43×	`associate-+l-_binary64`
40×	`associate-/l/_binary64`
36×	`swap-sqr_binary64`
35×	`log-pow_binary64`
29×	`distribute-neg-frac_binary64`
27×	`/-rgt-identity_binary64`
26×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-neg-in_binary64`
21×	`pow-plus_binary64`
19×	`cube-unmult_binary64` `distribute-rgt-in_binary64`
18×	`rem-sqrt-square_binary64`
14×	`unsub-neg_binary64` `pow-sqr_binary64` `associate--r-_binary64`
12×	`distribute-rgt-out_binary64`
9×	`log-rec_binary64` `unpow1/2_binary64`
8×	`distribute-rgt-out--_binary64` `associate--l-_binary64`
7×	`distribute-lft-in_binary64`
6×	`unpow2_binary64` `unpow1_binary64` `distribute-lft-out--_binary64`
4×	`distribute-lft-neg-out_binary64`
3×	`remove-double-div_binary64` `distribute-lft-out_binary64` `count-2_binary64`
2×	`rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64`
1×	`exp-lft-sqr_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `div-sub_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `mul-1-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64`

Counts

164 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	258	3901
1	642	3152
2	2966	3079
3	4214	3062
4	4907	3062
5	4974	3062

prune139.0ms (0.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	107	11	118
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	116	17	133

Error

4.3b

Counts

133 → 17

Compiler

Compiled 1876 to 907 computations (51.7% saved)

regimes4.5s (18.5%)

Accuracy

Total 0.2b remaining (8.5%)

Threshold costs 0.2b (8.5%)

Compiler

Compiled 66808 to 49581 computations (25.8% saved)

bsearch560.0ms (2.3%)

Steps

Iters	Range		Point
11	2.128276687303689e-163	3.7937886834377633e-128	1.2891079698145107e-134
5	-1.0317034203242389e-52	-3.5500745473038126e-53	-3.6001585920385914e-53

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`if-if-or-not_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` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	78
1	38	78
2	38	78

end1.0ms (0%)

Compiler: Compiled 50 to 29 computations (42% saved)

sample12.6s (51.1%)

Algorithm

1×

intervals

Results

3.8s	1210×	body	4096	invalid
2.1s	1056×	body	2048	invalid
2.1s	3904×	body	1024	valid
1.0s	496×	body	4096	valid
965.0ms	992×	body	2048	valid
524.0ms	1364×	body	512	valid
400.0ms	708×	body	1024	invalid
160.0ms	445×	body	512	invalid
141.0ms	1056×	body	128	invalid
121.0ms	470×	body	256	valid
104.0ms	774×	body	128	valid
73.0ms	304×	body	256	invalid

Compiler

Compiled 523 to 405 computations (22.6% saved)

Details

analyze2.5s (10.3%)

sample395.0ms (1.6%)

simplify24.0ms (0.1%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite417.0ms (1.7%)

series289.0ms (1.2%)

simplify183.0ms (0.7%)

prune145.0ms (0.6%)

localize15.0ms (0.1%)

rewrite382.0ms (1.6%)

series287.0ms (1.2%)

simplify259.0ms (1.1%)

prune107.0ms (0.4%)

localize16.0ms (0.1%)

rewrite339.0ms (1.4%)

series190.0ms (0.8%)

simplify205.0ms (0.8%)

prune125.0ms (0.5%)

localize14.0ms (0.1%)

rewrite487.0ms (2%)

series183.0ms (0.7%)

simplify167.0ms (0.7%)

prune139.0ms (0.6%)

regimes4.5s (18.5%)

bsearch560.0ms (2.3%)

simplify4.0ms (0%)

end1.0ms (0%)

sample12.6s (51.1%)

Profiling