Details

analyze873.0ms (5.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

768×	`times-frac_binary64`
532×	`div-sub_binary64`
475×	`distribute-rgt-in_binary64`
322×	`distribute-neg-in_binary64`
318×	`cancel-sign-sub-inv_binary64`
294×	`distribute-rgt-neg-in_binary64`
276×	`associate-/l*_binary64`
260×	`distribute-neg-frac_binary64`
236×	`associate-l_binary64`
222×	`associate-r_binary64`
219×	`distribute-lft-in_binary64`
208×	`*-commutative_binary64`
190×	`associate-/r*_binary64`
183×	`distribute-lft-neg-in_binary64`
182×	`sub-neg_binary64`
132×	`associate-+r+_binary64`
128×	`associate-+l+_binary64`
107×	`+-commutative_binary64`
94×	`neg-mul-1_binary64`
92×	`distribute-rgt-out_binary64`
82×	`neg-sub0_binary64`
75×	`distribute-lft-neg-out_binary64`
69×	`associate-*r/_binary64`
61×	`associate-*l/_binary64`
59×	`associate-/r/_binary64`
43×	`-rgt-identity_binary64` `-lft-identity_binary64`
40×	`distribute-rgt-out--_binary64`
34×	`unsub-neg_binary64`
32×	`associate--r+_binary64`
30×	`associate-+l-_binary64`
24×	`distribute-lft-out_binary64`
22×	`sub0-neg_binary64`
20×	`associate-+r-_binary64`
17×	`associate-/l/_binary64`
16×	`+-rgt-identity_binary64`
15×	`/-rgt-identity_binary64`
12×	`distribute-rgt-neg-out_binary64` `associate--l+_binary64`
10×	`--rgt-identity_binary64`
4×	`remove-double-neg_binary64` `+-lft-identity_binary64` `distribute-rgt1-in_binary64`
3×	`mul0-rgt_binary64` `mul0-lft_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` `mul-1-neg_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_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	164
1	132	164
2	312	164
3	637	164
4	1194	164
5	2575	164
6	4540	164
7	4990	164
8	5644	164
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%	74.9%	25.1%	8
0%	74.9%	25.1%	9
9.4%	65.5%	25.1%	10
9.4%	53%	37.6%	11
14%	48.4%	37.6%	12
16.4%	46%	37.6%	13
16.4%	39.8%	43.8%	14

Compiler

Compiled 28 to 21 computations (25% saved)

sample61.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	169×	body	128	valid
10.0ms	37×	body	1024	valid
7.0ms	27×	body	1024	nan
6.0ms	30×	body	512	valid
3.0ms	49×	body	128	nan
3.0ms	19×	body	256	valid
2.0ms	13×	body	256	nan
2.0ms	8×	body	512	nan
0.0ms	1×	body	2048	valid

Compiler

Compiled 55 to 44 computations (20% saved)

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

706×	`div-sub_binary64`
508×	`distribute-neg-in_binary64`
500×	`distribute-rgt-in_binary64`
420×	`distribute-lft-in_binary64`
403×	`cancel-sign-sub-inv_binary64`
336×	`times-frac_binary64`
329×	`sub-neg_binary64`
327×	`distribute-neg-frac_binary64`
259×	`distribute-rgt-neg-in_binary64`
231×	`associate-/l*_binary64`
219×	`unsub-neg_binary64`
166×	`associate-/r*_binary64`
157×	`distribute-lft-neg-in_binary64`
136×	`neg-mul-1_binary64`
130×	`neg-sub0_binary64`
124×	`associate-l_binary64`
122×	`associate-r_binary64` `associate--r+_binary64`
103×	`associate-/r/_binary64`
98×	`*-rgt-identity_binary64`
96×	`associate-*l/_binary64`
90×	`associate--l+_binary64`
86×	`*-commutative_binary64`
81×	`associate-*r/_binary64`
69×	`distribute-rgt-out_binary64`
65×	`associate-+l+_binary64`
61×	`*-lft-identity_binary64`
59×	`associate-+r+_binary64`
55×	`distribute-rgt-out--_binary64`
47×	`associate--r-_binary64`
44×	`remove-double-neg_binary64` `distribute-lft-neg-out_binary64`
38×	`+-commutative_binary64`
35×	`associate-/l/_binary64`
30×	`sub0-neg_binary64`
24×	`/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
16×	`associate--l-_binary64` `associate-+l-_binary64`
14×	`--rgt-identity_binary64` `+-rgt-identity_binary64` `div0_binary64`
10×	`distribute-lft-out_binary64`
9×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
7×	`distribute-frac-neg_binary64` `associate-+r-_binary64`
3×	`remove-double-div_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64`
2×	`sqr-neg_binary64` `distribute-neg-out_binary64`
1×	`1-exp_binary64` `distribute-lft1-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` `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` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	46	41
2	95	41
3	184	41
4	355	41
5	714	41
6	1619	41
7	3620	41
8	4716	41
9	5192	41

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

45.2b

Counts

1 → 1

Compiler

Compiled 27 to 20 computations (25.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
0.5b	(*.f64 (sqrt.f64 2) t)
13.2b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
22.5b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))

rewrite284.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

45.1b

Rules

17×	`add-sqr-sqrt_binary64`
13×	`sqrt-prod_binary64`
12×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `times-frac_binary64` `associate-/r*_binary64`
4×	`sqrt-div_binary64`
3×	`flip3--_binary64` `flip--_binary64` `associate-r_binary64`
2×	`associate--l+_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `pow-prod-down_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64`

Counts

4 → 80

Calls

4 calls:

18.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
17.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
14.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
5.0ms	(*.f64 (sqrt.f64 2) t)

Compiler

Compiled 3282 to 1868 computations (43.1% saved)

series782.0ms (4.7%)

Error

6.7b

Counts

4 → 61

Calls

4 calls:

314.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
219.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
151.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
9.0ms	(*.f64 (sqrt.f64 2) t)

Compiler

Compiled 9201 to 7724 computations (16.1% saved)

simplify145.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

643×	`times-frac_binary64`
453×	`associate-/l*_binary64`
451×	`associate-/r*_binary64`
224×	`associate-*r/_binary64`
206×	`associate-*l/_binary64`
153×	`*-commutative_binary64`
105×	`+-commutative_binary64`
74×	`associate-+r+_binary64`
62×	`associate-/r/_binary64`
61×	`associate-/l/_binary64`
53×	`sub-neg_binary64`
47×	`associate-r_binary64`
41×	`distribute-rgt-in_binary64`
36×	`sqr-pow_binary64` `distribute-lft-in_binary64`
35×	`cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
34×	`unswap-sqr_binary64` `distribute-rgt-neg-in_binary64`
30×	`neg-sub0_binary64`
29×	`distribute-lft-neg-in_binary64`
26×	`neg-mul-1_binary64`
22×	`distribute-rgt-out_binary64`
13×	`associate-l_binary64`
11×	`associate--l+_binary64`
10×	`unpow3_binary64`
9×	`cube-mult_binary64`
8×	`exp-prod_binary64` `associate--r+_binary64`
7×	`mul-1-neg_binary64`
6×	`cube-prod_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64`
5×	`log-div_binary64` `cube-unmult_binary64` `distribute-neg-frac_binary64`
4×	`log-prod_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `exp-sum_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `difference-of-squares_binary64`
2×	`rem-sqrt-square_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64`
1×	`div-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `*-rgt-identity_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` `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-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `-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-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

141 → 104

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	493	8226
1	1435	7783
2	5029	7783

prune124.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	95	9	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	9	105

Error

6.7b

Counts

105 → 9

Compiler

Compiled 4354 to 2856 computations (34.4% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

13.5b	(/.f64 (.f64 l l) (.f64 x x))
18.4b	(/.f64 (*.f64 t t) (pow.f64 x 3))
19.0b	(/.f64 (.f64 t t) (.f64 x x))
30.2b	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (/.f64 (.f64 l l) (pow.f64 x 3))) (+.f64 (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (.f64 x x)))))))))

rewrite461.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

6.6b

Rules

42×	`associate-*r/_binary64`
41×	`add-exp-log_binary64`
38×	`frac-add_binary64`
33×	`add-cbrt-cube_binary64`
14×	`sqrt-div_binary64` `div-exp_binary64` `times-frac_binary64` `associate-/r*_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `prod-exp_binary64`
10×	`cbrt-undiv_binary64`
9×	`flip3-+_binary64` `flip-+_binary64` `cbrt-unprod_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-prod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 112

Calls

4 calls:

29.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (/.f64 (.f64 l l) (pow.f64 x 3))) (+.f64 (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (.f64 x x)))))))))
12.0ms	(/.f64 (.f64 l l) (.f64 x x))
6.0ms	(/.f64 (*.f64 t t) (pow.f64 x 3))
6.0ms	(/.f64 (.f64 t t) (.f64 x x))

Compiler

Compiled 10970 to 4248 computations (61.3% saved)

series509.0ms (3%)

Error

0.3b

Counts

4 → 39

Calls

4 calls:

364.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (/.f64 (.f64 l l) (pow.f64 x 3))) (+.f64 (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (.f64 x x)))))))))
31.0ms	(/.f64 (.f64 t t) (.f64 x x))
30.0ms	(/.f64 (.f64 l l) (.f64 x x))
30.0ms	(/.f64 (*.f64 t t) (pow.f64 x 3))

Compiler

Compiled 8767 to 6839 computations (22% saved)

simplify180.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

574×	`times-frac_binary64`
406×	`distribute-rgt-in_binary64`
388×	`distribute-lft-in_binary64`
211×	`*-commutative_binary64`
106×	`+-commutative_binary64`
96×	`associate-r_binary64`
81×	`cancel-sign-sub-inv_binary64`
69×	`sub-neg_binary64` `unswap-sqr_binary64`
60×	`distribute-rgt-neg-in_binary64`
59×	`sqr-pow_binary64` `associate-l_binary64`
45×	`distribute-lft-neg-in_binary64`
42×	`neg-sub0_binary64`
41×	`distribute-neg-in_binary64`
40×	`neg-mul-1_binary64` `associate-/r*_binary64`
39×	`associate-+r+_binary64`
38×	`associate-*r/_binary64`
27×	`unpow3_binary64` `associate-/l*_binary64`
25×	`distribute-rgt-out_binary64`
23×	`cube-mult_binary64` `cube-div_binary64`
22×	`distribute-neg-frac_binary64`
19×	`cube-prod_binary64`
17×	`log-prod_binary64`
15×	`swap-sqr_binary64`
14×	`associate-*l/_binary64`
13×	`distribute-lft-neg-out_binary64`
11×	`log-div_binary64` `distribute-lft-out_binary64`
8×	`difference-of-squares_binary64` `distribute-rgt-out--_binary64`
7×	`associate--r+_binary64`
6×	`rem-sqrt-square_binary64` `associate--l+_binary64` `associate-+r-_binary64`
4×	`mul-1-neg_binary64` `pow-sqr_binary64`
3×	`log-pow_binary64` `unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
2×	`exp-prod_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64`
1×	`1-exp_binary64` `cube-unmult_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

151 → 113

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	585	10655
1	1908	9729
2	5075	9729

prune158.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	110	12	122

Error

0.2b

Counts

122 → 12

Compiler

Compiled 7364 to 3424 computations (53.5% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

19.0b	(/.f64 (.f64 t t) (.f64 x x))
19.0b	(/.f64 (.f64 t t) (.f64 x x))
30.2b	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (+.f64 (/.f64 (.f64 l l) (pow.f64 x 3)) (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (*.f64 x x))))))))
30.2b	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (+.f64 (/.f64 (.f64 l l) (pow.f64 x 3)) (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (*.f64 x x))))))))

rewrite425.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

108×	`associate-*r/_binary64`
104×	`frac-add_binary64`
36×	`sqrt-div_binary64`
28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
26×	`flip3-+_binary64` `flip-+_binary64`
8×	`add-sqr-sqrt_binary64` `prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64`

Counts

4 → 104

Calls

4 calls:

36.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (+.f64 (/.f64 (.f64 l l) (pow.f64 x 3)) (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (*.f64 x x))))))))
31.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (+.f64 (/.f64 (.f64 l l) (pow.f64 x 3)) (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (*.f64 x x))))))))
6.0ms	(/.f64 (.f64 t t) (.f64 x x))
6.0ms	(/.f64 (.f64 t t) (.f64 x x))

Compiler

Compiled 22330 to 7830 computations (64.9% saved)

series1.6s (9.8%)

Error

0.2b

Counts

4 → 62

Calls

4 calls:

681.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (+.f64 (/.f64 (.f64 l l) (pow.f64 x 3)) (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (*.f64 x x))))))))
676.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (+.f64 (/.f64 (.f64 l l) (pow.f64 x 3)) (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (*.f64 x x))))))))
40.0ms	(/.f64 (.f64 t t) (.f64 x x))
39.0ms	(/.f64 (.f64 t t) (.f64 x x))

Compiler

Compiled 32656 to 24311 computations (25.6% saved)

simplify401.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

558×	`distribute-rgt-in_binary64`
539×	`distribute-lft-in_binary64`
397×	`times-frac_binary64`
266×	`*-commutative_binary64`
140×	`+-commutative_binary64`
121×	`associate-r_binary64`
73×	`cancel-sign-sub-inv_binary64`
72×	`associate-l_binary64`
71×	`sub-neg_binary64`
60×	`associate-+r+_binary64`
58×	`sqr-pow_binary64`
51×	`unswap-sqr_binary64`
50×	`distribute-neg-in_binary64`
46×	`distribute-rgt-out_binary64`
45×	`distribute-rgt-neg-in_binary64`
41×	`associate-/r_binary64` `associate-r/_binary64`
40×	`neg-sub0_binary64`
38×	`neg-mul-1_binary64`
31×	`distribute-lft-neg-in_binary64`
24×	`unpow3_binary64`
23×	`cube-mult_binary64` `associate-*l/_binary64`
21×	`distribute-neg-frac_binary64`
18×	`cube-div_binary64`
13×	`cube-prod_binary64` `associate-/l*_binary64`
12×	`distribute-lft-neg-out_binary64` `distribute-lft-out_binary64`
10×	`swap-sqr_binary64` `associate--r+_binary64`
8×	`difference-of-squares_binary64`
7×	`distribute-rgt-out--_binary64` `associate--l+_binary64`
6×	`associate-+r-_binary64`
5×	`log-prod_binary64`
4×	`mul-1-neg_binary64`
3×	`log-div_binary64` `unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64`
2×	`pow-plus_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
1×	`exp-prod_binary64` `1-exp_binary64` `cube-unmult_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` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

166 → 128

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	639	26988
1	2245	24120
2	5853	24120

prune338.0ms (2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	128	12	140

Error

0.2b

Counts

140 → 12

Compiler

Compiled 20966 to 9834 computations (53.1% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

19.0b	(/.f64 (.f64 t t) (.f64 x x))
19.0b	(/.f64 (.f64 t t) (.f64 x x))
31.1b	(cbrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (+.f64 (/.f64 (.f64 l l) (pow.f64 x 3)) (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (*.f64 x x))))))))
31.1b	(cbrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (+.f64 (/.f64 (.f64 l l) (pow.f64 x 3)) (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (*.f64 x x))))))))

rewrite421.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

108×	`associate-*r/_binary64`
104×	`frac-add_binary64`
36×	`cbrt-div_binary64`
28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
26×	`flip3-+_binary64` `flip-+_binary64`
8×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64`
6×	`add-cube-cbrt_binary64` `cbrt-prod_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-log-exp_binary64`
2×	`pow1/3_binary64` `frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64`

Counts

4 → 100

Calls

4 calls:

36.0ms	(cbrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (+.f64 (/.f64 (.f64 l l) (pow.f64 x 3)) (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (*.f64 x x))))))))
32.0ms	(cbrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (+.f64 (/.f64 (.f64 l l) (pow.f64 x 3)) (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (*.f64 x x))))))))
7.0ms	(/.f64 (.f64 t t) (.f64 x x))
6.0ms	(/.f64 (.f64 t t) (.f64 x x))

Compiler

Compiled 22200 to 7774 computations (65% saved)

series981.0ms (5.9%)

Error

0.2b

Counts

4 → 48

Calls

4 calls:

412.0ms	(cbrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (+.f64 (/.f64 (.f64 l l) (pow.f64 x 3)) (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (*.f64 x x))))))))
406.0ms	(cbrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (/.f64 (.f64 t t) x)) (+.f64 (.f64 2 (+.f64 (/.f64 (.f64 l l) (pow.f64 x 3)) (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))))) (.f64 4 (+.f64 (/.f64 (.f64 t t) (pow.f64 x 3)) (/.f64 (.f64 t t) (*.f64 x x))))))))
39.0ms	(/.f64 (.f64 t t) (.f64 x x))
39.0ms	(/.f64 (.f64 t t) (.f64 x x))

Compiler

Compiled 16660 to 11432 computations (31.4% saved)

simplify417.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

521×	`distribute-rgt-in_binary64`
506×	`distribute-lft-in_binary64`
216×	`*-commutative_binary64`
196×	`times-frac_binary64`
105×	`associate-r_binary64`
93×	`+-commutative_binary64`
88×	`cancel-sign-sub-inv_binary64`
74×	`sqr-pow_binary64`
73×	`associate-l_binary64`
62×	`sub-neg_binary64`
50×	`distribute-rgt-neg-in_binary64`
42×	`unswap-sqr_binary64`
38×	`distribute-lft-neg-in_binary64`
36×	`neg-mul-1_binary64` `neg-sub0_binary64`
33×	`unpow3_binary64`
30×	`associate-*r/_binary64`
25×	`distribute-neg-in_binary64`
22×	`associate-+r+_binary64`
20×	`cube-mult_binary64` `distribute-neg-frac_binary64`
18×	`cube-div_binary64`
16×	`distribute-rgt-out_binary64`
14×	`unpow1/3_binary64` `distribute-lft-neg-out_binary64`
13×	`cube-prod_binary64`
12×	`log-div_binary64` `associate-/l_binary64` `associate-l/_binary64`
11×	`exp-prod_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64`
10×	`log-prod_binary64`
8×	`difference-of-squares_binary64` `associate-/r*_binary64`
7×	`distribute-rgt-out--_binary64`
6×	`associate--r+_binary64` `associate-+r-_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
4×	`distribute-rgt-neg-out_binary64`
3×	`log-pow_binary64` `associate--l+_binary64`
2×	`log-rec_binary64` `pow-plus_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
1×	`1-exp_binary64` `cube-unmult_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `*-rgt-identity_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

148 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	520	20848
1	1876	20084
2	4961	20052
3	4969	20052

prune233.0ms (1.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	111	13	124

Error

0.2b

Counts

124 → 13

Compiler

Compiled 16320 to 6617 computations (59.5% saved)

regimes5.0s (30.1%)

Accuracy

Total 11.4b remaining (96.6%)

Threshold costs 0b (0%)

Compiler

Compiled 80662 to 49792 computations (38.3% saved)

bsearch539.0ms (3.2%)

Steps

Iters	Range		Point
7	4.489118244041591e+62	2.5736899882983482e+64	1.4508059836798438e+63
9	1.272304107297215e-168	2.3451585782918636e-161	1.297267949586402e-168
8	-6.114544517415116e-259	-8.909356541078092e-263	-5.984746586445027e-259
11	-8.177518068995656e-160	-2.565101574000322e-185	-2.5955154161613975e-185
7	-8.054498388376719e-49	-6.973812434314732e-51	-7.870811036512242e-49

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
17×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `mul-1-neg_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` `/-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	380
1	127	380
2	135	380
3	140	380
4	145	380
5	147	380
6	145	380

end5.0ms (0%)

Compiler: Compiled 249 to 168 computations (32.5% saved)

sample2.5s (14.8%)

Algorithm

1×

intervals

Results

392.0ms	5324×	body	128	valid
320.0ms	1173×	body	1024	valid
234.0ms	840×	body	1024	nan
183.0ms	888×	body	512	valid
103.0ms	1481×	body	128	nan
103.0ms	500×	body	512	nan
77.0ms	549×	body	256	valid
39.0ms	302×	body	256	nan
23.0ms	66×	body	2048	valid

Compiler

Compiled 857 to 585 computations (31.7% saved)

Details

analyze873.0ms (5.2%)

sample61.0ms (0.4%)

simplify74.0ms (0.4%)

prune2.0ms (0%)

localize16.0ms (0.1%)

rewrite284.0ms (1.7%)

series782.0ms (4.7%)

simplify145.0ms (0.9%)

prune124.0ms (0.7%)

localize35.0ms (0.2%)

rewrite461.0ms (2.8%)

series509.0ms (3%)

simplify180.0ms (1.1%)

prune158.0ms (0.9%)

localize42.0ms (0.2%)

rewrite425.0ms (2.5%)

series1.6s (9.8%)

simplify401.0ms (2.4%)

prune338.0ms (2%)

localize43.0ms (0.3%)

rewrite421.0ms (2.5%)

series981.0ms (5.9%)

simplify417.0ms (2.5%)

prune233.0ms (1.4%)

regimes5.0s (30.1%)

bsearch539.0ms (3.2%)

simplify18.0ms (0.1%)

end5.0ms (0%)

sample2.5s (14.8%)

Profiling