Details

analyze272.0ms (10.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

261×	`div-sub_binary64`
123×	`times-frac_binary64`
116×	`associate-/l*_binary64`
97×	`sub-neg_binary64`
59×	`distribute-rgt-in_binary64`
51×	`unsub-neg_binary64`
47×	`distribute-lft-in_binary64`
41×	`cancel-sign-sub-inv_binary64`
38×	`associate-/r*_binary64`
28×	`distribute-neg-frac_binary64`
22×	`associate-/l/_binary64`
18×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64` `+-commutative_binary64`
16×	`associate-l/_binary64` `associate-r*_binary64`
15×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `associate-/r/_binary64` `associate-+l-_binary64`
13×	`associate-l_binary64`
12×	`*-commutative_binary64`
11×	`mul0-rgt_binary64` `associate--r+_binary64`
10×	`div0_binary64`
9×	`sub0-neg_binary64` `distribute-frac-neg_binary64` `distribute-lft-neg-in_binary64` `associate--l+_binary64`
8×	`associate-*r/_binary64`
7×	`mul0-lft_binary64` `associate--l-_binary64`
6×	`*-lft-identity_binary64` `distribute-neg-out_binary64` `associate-+l+_binary64`
5×	`/-rgt-identity_binary64` `*-rgt-identity_binary64` `distribute-rgt-out--_binary64`
4×	`remove-double-neg_binary64` `--rgt-identity_binary64` `associate-+r+_binary64`
3×	`+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64` `associate-+r-_binary64`
2×	`distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `*-inverses_binary64` `cancel-sign-sub_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` `+-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` `distribute-lft1-in_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	34	17
4	54	17
5	67	17
6	91	17
7	141	17
8	207	17
9	247	17
10	297	17
11	431	17
12	597	17
13	575	17
14	543	17
15	466	17
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify35.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

261×	`div-sub_binary64`
123×	`times-frac_binary64`
116×	`associate-/l*_binary64`
97×	`sub-neg_binary64`
59×	`distribute-rgt-in_binary64`
51×	`unsub-neg_binary64`
47×	`distribute-lft-in_binary64`
41×	`cancel-sign-sub-inv_binary64`
38×	`associate-/r*_binary64`
28×	`distribute-neg-frac_binary64`
22×	`associate-/l/_binary64`
18×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64` `+-commutative_binary64`
16×	`associate-l/_binary64` `associate-r*_binary64`
15×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `associate-/r/_binary64` `associate-+l-_binary64`
13×	`associate-l_binary64`
12×	`*-commutative_binary64`
11×	`mul0-rgt_binary64` `associate--r+_binary64`
10×	`div0_binary64`
9×	`sub0-neg_binary64` `distribute-frac-neg_binary64` `distribute-lft-neg-in_binary64` `associate--l+_binary64`
8×	`associate-*r/_binary64`
7×	`mul0-lft_binary64` `associate--l-_binary64`
6×	`*-lft-identity_binary64` `distribute-neg-out_binary64` `associate-+l+_binary64`
5×	`/-rgt-identity_binary64` `*-rgt-identity_binary64` `distribute-rgt-out--_binary64`
4×	`remove-double-neg_binary64` `--rgt-identity_binary64` `associate-+r+_binary64`
3×	`+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64` `associate-+r-_binary64`
2×	`distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `*-inverses_binary64` `cancel-sign-sub_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` `+-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` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	34	17
4	54	17
5	67	17
6	91	17
7	141	17
8	207	17
9	247	17
10	297	17
11	431	17
12	597	17
13	575	17
14	543	17
15	466	17

prune3.0ms (0.1%)

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

0.0b

Counts

1 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

rewrite157.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

79×	`*-un-lft-identity_binary64`
56×	`add-sqr-sqrt_binary64`
49×	`times-frac_binary64`
30×	`sqrt-prod_binary64`
26×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
3×	`add-log-exp_binary64`
2×	`div-inv_binary64` `associate-/l/_binary64` `flip3-+_binary64` `flip-+_binary64` `rem-sqrt-square_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`

Counts

3 → 100

Calls

3 calls:

9.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
8.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

Compiler

Compiled 1626 to 1317 computations (19% saved)

series45.0ms (1.7%)

Error

0.0b

Counts

3 → 17

Calls

3 calls:

15.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
11.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
8.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

Compiler

Compiled 377 to 355 computations (5.8% saved)

simplify137.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

904×	`div-sub_binary64`
567×	`associate-/l*_binary64`
374×	`cancel-sign-sub-inv_binary64`
359×	`distribute-rgt-in_binary64`
296×	`distribute-lft-in_binary64`
245×	`associate-/r/_binary64`
216×	`associate-/l/_binary64`
134×	`sub-neg_binary64`
122×	`distribute-rgt-neg-in_binary64`
104×	`distribute-lft-neg-in_binary64`
102×	`distribute-rgt-out_binary64`
100×	`associate-l_binary64`
93×	`associate-r_binary64`
84×	`distribute-rgt-out--_binary64`
78×	`times-frac_binary64` `distribute-rgt-neg-out_binary64`
70×	`distribute-lft-neg-out_binary64`
68×	`associate-/r*_binary64`
64×	`associate-*l/_binary64`
53×	`distribute-lft-out_binary64`
50×	`distribute-neg-frac_binary64`
49×	`+-commutative_binary64`
47×	`*-commutative_binary64`
45×	`exp-prod_binary64` `unsub-neg_binary64`
41×	`neg-sub0_binary64` `associate-*r/_binary64`
40×	`associate-+l+_binary64`
37×	`cube-prod_binary64` `neg-mul-1_binary64`
32×	`associate-+r+_binary64`
26×	`associate-+l-_binary64`
25×	`cube-div_binary64`
24×	`sqr-pow_binary64` `distribute-frac-neg_binary64` `associate--l+_binary64`
23×	`*-lft-identity_binary64`
22×	`*-rgt-identity_binary64` `unswap-sqr_binary64`
21×	`distribute-lft-out--_binary64`
20×	`distribute-rgt1-in_binary64`
17×	`log-prod_binary64`
15×	`/-rgt-identity_binary64` `distribute-neg-in_binary64` `associate--r+_binary64` `associate-+r-_binary64`
12×	`log-div_binary64`
11×	`sub0-neg_binary64`
9×	`cube-unmult_binary64` `+-rgt-identity_binary64`
8×	`unpow3_binary64` `exp-sum_binary64`
7×	`rem-sqrt-square_binary64` `distribute-lft1-in_binary64`
6×	`pow-plus_binary64` `exp-diff_binary64` `swap-sqr_binary64`
4×	`log-rec_binary64` `cube-mult_binary64` `sqr-neg_binary64`
3×	`mul-1-neg_binary64` `pow-sqr_binary64` `difference-of-squares_binary64`
2×	`unpow2_binary64` `cube-neg_binary64` `remove-double-div_binary64` `difference-of-sqr-1_binary64` `count-2_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `difference-of-sqr--1_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `cancel-sign-sub_binary64`

Counts

117 → 58

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	147	2188
1	294	2072
2	656	2066
3	1656	2063
4	4614	2047
5	6419	2047

prune45.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Error

Counts

59 → 3

Compiler

Compiled 631 to 494 computations (21.7% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 x))
0.0b	(/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x))
0.0b	(atan.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))))
0.0b	(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))

rewrite239.0ms (8.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

116×	`*-un-lft-identity_binary64`
95×	`add-sqr-sqrt_binary64`
76×	`times-frac_binary64`
71×	`sqrt-prod_binary64`
45×	`add-cube-cbrt_binary64`
42×	`associate-r_binary64`
22×	`difference-of-squares_binary64`
19×	`distribute-lft-out_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
9×	`associate-l_binary64` `associate-/l*_binary64`
8×	`sqrt-div_binary64`
7×	`pow1_binary64`
6×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `associate-*l/_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 165

Calls

4 calls:

26.0ms	(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
9.0ms	(/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x))
4.0ms	(sqrt.f64 (-.f64 1 x))
1.0ms	(atan.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))))

Compiler

Compiled 3393 to 2777 computations (18.2% saved)

series55.0ms (2%)

Error

Counts

4 → 23

Calls

4 calls:

11.0ms	(/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x))
10.0ms	(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
10.0ms	(sqrt.f64 (-.f64 1 x))
6.0ms	(atan.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))))

Compiler

Compiled 723 to 645 computations (10.8% saved)

simplify149.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

644×	`distribute-rgt-in_binary64`
446×	`times-frac_binary64`
440×	`associate-/l*_binary64`
325×	`cancel-sign-sub-inv_binary64`
194×	`associate-*l/_binary64`
185×	`associate-/l/_binary64`
174×	`sub-neg_binary64`
168×	`associate-*r/_binary64`
137×	`associate-/r*_binary64`
136×	`*-commutative_binary64`
130×	`distribute-rgt-neg-in_binary64`
112×	`div-sub_binary64`
111×	`distribute-lft-neg-in_binary64`
104×	`associate-l_binary64`
96×	`associate-r_binary64`
75×	`distribute-lft-in_binary64`
66×	`distribute-rgt-out_binary64`
64×	`*-lft-identity_binary64`
59×	`associate-/r/_binary64`
57×	`remove-double-div_binary64`
56×	`*-rgt-identity_binary64`
54×	`unswap-sqr_binary64`
50×	`associate-+l+_binary64`
48×	`+-commutative_binary64`
46×	`neg-mul-1_binary64`
44×	`neg-sub0_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
42×	`distribute-lft-neg-out_binary64`
38×	`unsub-neg_binary64` `sqr-pow_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64`
37×	`associate-+l-_binary64`
36×	`associate--l+_binary64`
31×	`distribute-neg-in_binary64`
30×	`distribute-neg-frac_binary64` `associate--r+_binary64` `associate-+r+_binary64`
29×	`log-prod_binary64`
28×	`log-div_binary64` `exp-prod_binary64`
27×	`swap-sqr_binary64`
25×	`cube-prod_binary64`
23×	`distribute-lft-out--_binary64`
21×	`cube-div_binary64`
18×	`sub0-neg_binary64` `distribute-rgt1-in_binary64`
17×	`associate-+r-_binary64`
10×	`log-rec_binary64` `+-rgt-identity_binary64`
8×	`cube-unmult_binary64`
7×	`pow-sqr_binary64`
4×	`unpow3_binary64` `exp-sum_binary64` `rem-sqrt-square_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`
3×	`difference-of-sqr-1_binary64` `distribute-frac-neg_binary64`
2×	`unpow1/2_binary64` `pow-plus_binary64` `exp-diff_binary64` `cube-mult_binary64` `rem-square-sqrt_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-inverses_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `count-2_binary64` `associate--r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `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-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64`

Counts

188 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	3666
1	421	3359
2	1192	3291
3	3085	3291
4	5036	3291

prune103.0ms (3.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	129	3	132

Error

Counts

132 → 3

Compiler

Compiled 1772 to 1431 computations (19.2% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(atan.f64 (*.f64 (fabs.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))))
0.0b	(/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))
0.0b	(cbrt.f64 (+.f64 1 x))
0.0b	(cbrt.f64 (+.f64 1 x))

rewrite171.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

70×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
42×	`times-frac_binary64`
36×	`cbrt-prod_binary64`
28×	`add-cube-cbrt_binary64`
16×	`difference-of-squares_binary64`
9×	`distribute-lft-out_binary64`
8×	`distribute-lft-out--_binary64`
7×	`associate-/r*_binary64`
6×	`add-exp-log_binary64` `cbrt-div_binary64` `associate-/l*_binary64`
5×	`add-cbrt-cube_binary64`
4×	`pow1_binary64` `add-log-exp_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`pow1/3_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 107

Calls

4 calls:

10.0ms	(/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))
3.0ms	(cbrt.f64 (+.f64 1 x))
3.0ms	(cbrt.f64 (+.f64 1 x))
1.0ms	(atan.f64 (*.f64 (fabs.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))))

Compiler

Compiled 2709 to 2271 computations (16.2% saved)

series82.0ms (3%)

Error

Counts

4 → 22

Calls

4 calls:

15.0ms	(/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))
14.0ms	(cbrt.f64 (+.f64 1 x))
13.0ms	(atan.f64 (*.f64 (fabs.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))))
12.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1256 to 1125 computations (10.4% saved)

simplify179.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-/l*_binary64`
309×	`cancel-sign-sub-inv_binary64`
293×	`associate-/r/_binary64`
231×	`associate-/l/_binary64`
222×	`distribute-rgt-in_binary64`
185×	`distribute-lft-in_binary64`
161×	`div-sub_binary64`
159×	`sub-neg_binary64`
153×	`associate-r_binary64`
146×	`associate-l_binary64`
114×	`distribute-rgt-neg-in_binary64`
100×	`distribute-lft-neg-in_binary64`
91×	`*-commutative_binary64`
90×	`distribute-rgt-neg-out_binary64`
86×	`associate-/r*_binary64`
84×	`distribute-lft-neg-out_binary64`
69×	`associate-*l/_binary64`
63×	`times-frac_binary64`
62×	`+-commutative_binary64`
56×	`neg-sub0_binary64` `sqr-pow_binary64`
55×	`log-prod_binary64` `distribute-neg-frac_binary64`
53×	`unswap-sqr_binary64`
49×	`neg-mul-1_binary64`
44×	`log-div_binary64`
42×	`distribute-rgt-out--_binary64`
40×	`exp-sum_binary64`
39×	`associate-*r/_binary64`
35×	`distribute-rgt-out_binary64`
30×	`unsub-neg_binary64`
27×	`exp-prod_binary64` `*-rgt-identity_binary64`
25×	`distribute-frac-neg_binary64`
24×	`associate--l+_binary64` `associate-+l-_binary64`
23×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
21×	`*-lft-identity_binary64`
20×	`distribute-neg-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
19×	`/-rgt-identity_binary64`
18×	`log-rec_binary64` `exp-diff_binary64`
17×	`associate-+r-_binary64`
15×	`cube-prod_binary64`
13×	`associate--r+_binary64`
12×	`sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_binary64`
11×	`cube-unmult_binary64`
10×	`unpow1/3_binary64`
9×	`cube-div_binary64`
8×	`log-pow_binary64` `swap-sqr_binary64`
7×	`mul-1-neg_binary64`
6×	`pow-sqr_binary64`
4×	`associate--r-_binary64`
3×	`unpow3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `rem-exp-log_binary64` `+-lft-identity_binary64` `difference-of-squares_binary64` `count-2_binary64`
2×	`exp-neg_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `difference-of-sqr-1_binary64`
1×	`log-E_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `+-inverses_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_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` `pow-base-0_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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `cancel-sign-sub_binary64`

Counts

129 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	2663
1	366	2552
2	842	2524
3	2013	2511
4	4919	2511
5	4997	2511
6	4883	2511

prune62.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	52	3	55

Error

Counts

55 → 3

Compiler

Compiled 1127 to 926 computations (17.8% saved)

regimes229.0ms (8.5%)

Accuracy

Total 0.0b remaining (37.2%)

Threshold costs 0.0b (37.2%)

Compiler

Compiled 3287 to 2944 computations (10.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	16	17
2	20	17
3	22	17
4	23	17
5	22	17

end1.0ms (0%)

Compiler: Compiled 11 to 10 computations (9.1% saved)

sample682.0ms (25.2%)

Algorithm

1×

intervals

Results

374.0ms

8000×

body

128

valid

Compiler

Compiled 74 to 71 computations (4.1% saved)

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	34	17
4	54	17
5	67	17
6	91	17
7	141	17
8	207	17
9	247	17
10	297	17
11	431	17
12	597	17
13	575	17
14	543	17
15	466	17
0	1	1
1	1	1

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	34	17
4	54	17
5	67	17
6	91	17
7	141	17
8	207	17
9	247	17
10	297	17
11	431	17
12	597	17
13	575	17
14	543	17
15	466	17

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	34	17
4	54	17
5	67	17
6	91	17
7	141	17
8	207	17
9	247	17
10	297	17
11	431	17
12	597	17
13	575	17
14	543	17
15	466	17
0	1	1
1	1	1

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	34	17
4	54	17
5	67	17
6	91	17
7	141	17
8	207	17
9	247	17
10	297	17
11	431	17
12	597	17
13	575	17
14	543	17
15	466	17

Details

analyze272.0ms (10.1%)

sample22.0ms (0.8%)

simplify35.0ms (1.3%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

rewrite157.0ms (5.8%)

series45.0ms (1.7%)

simplify137.0ms (5.1%)

prune45.0ms (1.7%)

localize12.0ms (0.5%)

rewrite239.0ms (8.8%)

series55.0ms (2%)

simplify149.0ms (5.5%)

prune103.0ms (3.8%)

localize12.0ms (0.4%)

rewrite171.0ms (6.3%)

series82.0ms (3%)

simplify179.0ms (6.6%)

prune62.0ms (2.3%)

regimes229.0ms (8.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample682.0ms (25.2%)

Profiling

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	34	17
4	54	17
5	67	17
6	91	17
7	141	17
8	207	17
9	247	17
10	297	17
11	431	17
12	597	17
13	575	17
14	543	17
15	466	17
0	1	1
1	1	1

Iter	Nodes	Cost
0	10	17
1	19	17
2	25	17
3	34	17
4	54	17
5	67	17
6	91	17
7	141	17
8	207	17
9	247	17
10	297	17
11	431	17
12	597	17
13	575	17
14	543	17
15	466	17