Details

analyze95.0ms (3.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

806×	`sub-neg_binary64`
743×	`div-sub_binary64`
502×	`associate-/l*_binary64`
427×	`unsub-neg_binary64`
423×	`distribute-rgt-in_binary64`
347×	`distribute-lft-in_binary64`
288×	`neg-mul-1_binary64`
276×	`*-commutative_binary64`
246×	`associate-/r*_binary64`
237×	`neg-sub0_binary64`
227×	`distribute-rgt-neg-out_binary64`
217×	`associate-/r/_binary64`
214×	`associate-l_binary64`
200×	`distribute-lft-neg-out_binary64`
188×	`associate-r_binary64`
186×	`cancel-sign-sub-inv_binary64`
159×	`distribute-rgt-neg-in_binary64`
154×	`associate--r+_binary64`
153×	`associate--r-_binary64`
116×	`distribute-lft-neg-in_binary64`
112×	`distribute-neg-in_binary64`
108×	`associate-*l/_binary64`
101×	`cancel-sign-sub_binary64` `associate-*r/_binary64`
100×	`distribute-rgt-out--_binary64`
95×	`distribute-neg-frac_binary64` `associate-/l/_binary64`
93×	`associate--l-_binary64`
76×	`distribute-frac-neg_binary64`
58×	`associate--l+_binary64`
55×	`mul0-rgt_binary64`
54×	`mul0-lft_binary64`
52×	`+-lft-identity_binary64` `associate-+l-_binary64`
48×	`+-commutative_binary64`
44×	`sub0-neg_binary64`
34×	`div0_binary64`
29×	`*-rgt-identity_binary64`
28×	`*-lft-identity_binary64`
24×	`--rgt-identity_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
19×	`associate-+r+_binary64`
13×	`remove-double-neg_binary64`
12×	`/-rgt-identity_binary64`
11×	`distribute-lft-out--_binary64` `associate-+l+_binary64`
9×	`distribute-neg-out_binary64`
8×	`+-rgt-identity_binary64`
5×	`mul-1-neg_binary64` `distribute-lft1-in_binary64`
2×	`distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `difference-of-sqr-1_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` `times-frac_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-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	82	29
3	187	29
4	471	29
5	845	29
6	1231	29
7	2569	29
8	2876	29
9	4256	29
10	5039	29
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%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 20 to 16 computations (20% saved)

sample25.0ms (0.8%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify79.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

806×	`sub-neg_binary64`
743×	`div-sub_binary64`
502×	`associate-/l*_binary64`
427×	`unsub-neg_binary64`
423×	`distribute-rgt-in_binary64`
347×	`distribute-lft-in_binary64`
288×	`neg-mul-1_binary64`
276×	`*-commutative_binary64`
246×	`associate-/r*_binary64`
237×	`neg-sub0_binary64`
227×	`distribute-rgt-neg-out_binary64`
217×	`associate-/r/_binary64`
214×	`associate-l_binary64`
200×	`distribute-lft-neg-out_binary64`
188×	`associate-r_binary64`
186×	`cancel-sign-sub-inv_binary64`
159×	`distribute-rgt-neg-in_binary64`
154×	`associate--r+_binary64`
153×	`associate--r-_binary64`
116×	`distribute-lft-neg-in_binary64`
112×	`distribute-neg-in_binary64`
108×	`associate-*l/_binary64`
101×	`cancel-sign-sub_binary64` `associate-*r/_binary64`
100×	`distribute-rgt-out--_binary64`
95×	`distribute-neg-frac_binary64` `associate-/l/_binary64`
93×	`associate--l-_binary64`
76×	`distribute-frac-neg_binary64`
58×	`associate--l+_binary64`
55×	`mul0-rgt_binary64`
54×	`mul0-lft_binary64`
52×	`+-lft-identity_binary64` `associate-+l-_binary64`
48×	`+-commutative_binary64`
44×	`sub0-neg_binary64`
34×	`div0_binary64`
29×	`*-rgt-identity_binary64`
28×	`*-lft-identity_binary64`
24×	`--rgt-identity_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
19×	`associate-+r+_binary64`
13×	`remove-double-neg_binary64`
12×	`/-rgt-identity_binary64`
11×	`distribute-lft-out--_binary64` `associate-+l+_binary64`
9×	`distribute-neg-out_binary64`
8×	`+-rgt-identity_binary64`
5×	`mul-1-neg_binary64` `distribute-lft1-in_binary64`
2×	`distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64` `difference-of-sqr-1_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` `times-frac_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-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	82	29
3	187	29
4	471	29
5	845	29
6	1231	29
7	2569	29
8	2876	29
9	4256	29
10	5039	29

prune1.0ms (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

0.0b

Counts

1 → 1

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.2b	(.f64 3 (.f64 v v))

rewrite221.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64`
26×	`associate-l_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64` `times-frac_binary64`
20×	`sqrt-prod_binary64`
18×	`sqrt-div_binary64` `frac-times_binary64`
17×	`pow1_binary64`
15×	`flip3--_binary64` `flip--_binary64`
12×	`associate-r_binary64`
10×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64`
9×	`associate-*l/_binary64`
7×	`pow-prod-down_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`*-commutative_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `difference-of-squares_binary64`
1×	`div-inv_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 129

Calls

4 calls:

14.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
12.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 3696 to 2603 computations (29.6% saved)

series75.0ms (2.5%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

19.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
14.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
10.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
8.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 959 to 839 computations (12.5% saved)

simplify177.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

550×	`distribute-rgt-in_binary64`
499×	`distribute-lft-in_binary64`
361×	`associate-l_binary64`
340×	`associate-r_binary64`
310×	`cancel-sign-sub-inv_binary64`
241×	`distribute-rgt-neg-in_binary64`
221×	`*-commutative_binary64`
212×	`distribute-lft-neg-in_binary64`
134×	`exp-prod_binary64`
73×	`sub-neg_binary64`
71×	`associate-*l/_binary64`
68×	`distribute-rgt-out_binary64`
57×	`log-prod_binary64` `distribute-lft-neg-out_binary64`
51×	`neg-sub0_binary64` `*-lft-identity_binary64`
49×	`neg-mul-1_binary64`
48×	`+-commutative_binary64`
45×	`distribute-rgt-neg-out_binary64`
39×	`associate-*r/_binary64`
37×	`sqr-pow_binary64`
31×	`*-rgt-identity_binary64`
30×	`distribute-lft-out_binary64`
29×	`associate-/l*_binary64`
26×	`exp-sum_binary64`
25×	`swap-sqr_binary64`
24×	`cube-prod_binary64` `distribute-neg-in_binary64`
22×	`unswap-sqr_binary64` `distribute-lft-out--_binary64`
17×	`associate--r+_binary64` `associate-+l+_binary64`
16×	`unpow3_binary64` `unsub-neg_binary64`
12×	`associate-+r+_binary64`
11×	`distribute-rgt1-in_binary64`
10×	`log-div_binary64` `exp-neg_binary64`
8×	`exp-diff_binary64`
7×	`pow-plus_binary64` `cube-div_binary64` `distribute-neg-frac_binary64`
6×	`cube-unmult_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64`
5×	`cube-mult_binary64`
4×	`unpow1/2_binary64`
3×	`log-pow_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64` `associate-+l-_binary64`
2×	`unpow-1_binary64` `exp-lft-cube_binary64` `prod-exp_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `associate-+r-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `div-sub_binary64` `mul-1-neg_binary64` `count-2_binary64` `associate-/r/_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `/-rgt-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

150 → 96

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	3914
1	706	3618
2	2379	3598
3	4938	3598
4	4878	3598
5	4922	3598

prune102.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	3	97

Error

Counts

97 → 3

Compiler

Compiled 1985 to 1496 computations (24.6% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 3)))
0.0b	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 3))
0.0b	(pow.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 3)
0.2b	(.f64 3 (.f64 v v))

rewrite238.0ms (7.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

88×	`add-sqr-sqrt_binary64`
54×	`cbrt-prod_binary64`
40×	`sqrt-prod_binary64`
34×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
32×	`times-frac_binary64`
25×	`associate-l_binary64`
24×	`unpow-prod-down_binary64` `cube-prod_binary64`
22×	`unswap-sqr_binary64` `associate-r_binary64`
15×	`add-exp-log_binary64`
13×	`pow1_binary64` `add-cbrt-cube_binary64`
8×	`sqrt-div_binary64` `cube-div_binary64`
6×	`sqr-pow_binary64` `cbrt-div_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`-commutative_binary64` `frac-times_binary64` `associate-r/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `sqrt-pow2_binary64` `pow1/3_binary64` `rem-cbrt-cube_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-*l/_binary64` `div-inv_binary64`

Counts

4 → 164

Calls

4 calls:

24.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 3)))
6.0ms	(.f64 3 (.f64 v v))
5.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 3))
5.0ms	(pow.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 3)

Compiler

Compiled 4015 to 3038 computations (24.3% saved)

series74.0ms (2.4%)

Error

Counts

4 → 21

Calls

4 calls:

15.0ms	(pow.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 3)
14.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))) 3)))
10.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) 3))
9.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1049 to 897 computations (14.5% saved)

simplify160.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

297×	`unswap-sqr_binary64`
276×	`associate-r_binary64`
255×	`log-prod_binary64`
246×	`associate-l_binary64`
242×	`cancel-sign-sub-inv_binary64`
215×	`exp-prod_binary64`
211×	`associate-*l/_binary64`
189×	`associate-/l*_binary64`
180×	`associate-*r/_binary64`
179×	`distribute-rgt-neg-in_binary64`
157×	`distribute-lft-neg-in_binary64`
122×	`distribute-rgt-in_binary64` `*-commutative_binary64`
106×	`distribute-lft-in_binary64`
81×	`sqr-pow_binary64`
55×	`unpow3_binary64` `distribute-rgt-out_binary64`
54×	`log-div_binary64`
52×	`cube-prod_binary64` `sub-neg_binary64`
46×	`associate-/r*_binary64`
41×	`swap-sqr_binary64`
38×	`neg-sub0_binary64`
37×	`+-commutative_binary64`
34×	`neg-mul-1_binary64` `distribute-lft-out_binary64`
26×	`distribute-neg-in_binary64`
24×	`log-pow_binary64`
21×	`pow-plus_binary64` `rem-sqrt-square_binary64`
16×	`*-lft-identity_binary64`
15×	`cube-mult_binary64` `*-rgt-identity_binary64`
13×	`pow-sqr_binary64` `distribute-lft-neg-out_binary64` `associate--r+_binary64` `associate-+l+_binary64`
12×	`unsub-neg_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64`
10×	`rem-cbrt-cube_binary64` `associate-+r+_binary64`
9×	`rem-square-sqrt_binary64`
8×	`cube-unmult_binary64`
7×	`distribute-rgt1-in_binary64`
6×	`distribute-rgt-out--_binary64`
5×	`log-rec_binary64` `mul-1-neg_binary64` `associate--l+_binary64`
4×	`unpow1/2_binary64` `exp-lft-cube_binary64` `exp-sum_binary64` `cube-div_binary64` `count-2_binary64` `associate-/l/_binary64`
2×	`unpow1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_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` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

185 → 155

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	4125
1	565	3995
2	1873	3963
3	4588	3963
4	5099	3963

prune113.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	155	3	158

Error

Counts

158 → 3

Compiler

Compiled 2348 to 1761 computations (25% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (.f64 v v)))
0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.2b	(.f64 3 (.f64 v v))
1.0b	(.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

rewrite243.0ms (8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

82×	`sqrt-div_binary64`
58×	`frac-times_binary64`
34×	`sqrt-prod_binary64`
31×	`associate-*l/_binary64`
30×	`associate-*r/_binary64`
29×	`flip3--_binary64` `flip--_binary64` `associate-l_binary64`
27×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`
16×	`pow-prod-down_binary64`
12×	`prod-exp_binary64` `cbrt-unprod_binary64`
7×	`associate-r_binary64`
4×	`pow1/2_binary64` `sqrt-pow1_binary64` `add-log-exp_binary64`
3×	`*-commutative_binary64`
2×	`sqrt-unprod_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `difference-of-squares_binary64`
1×	`div-inv_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64`

Counts

4 → 150

Calls

4 calls:

24.0ms	(.f64 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (.f64 v v)))
20.0ms	(.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 5812 to 4380 computations (24.6% saved)

series74.0ms (2.4%)

Error

Counts

4 → 21

Calls

4 calls:

18.0ms	(.f64 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (.f64 v v)))
15.0ms	(.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))
13.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
9.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1106 to 986 computations (10.8% saved)

simplify188.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

703×	`distribute-rgt-in_binary64`
519×	`associate-l_binary64`
498×	`associate-r_binary64`
323×	`*-commutative_binary64`
310×	`cancel-sign-sub-inv_binary64`
250×	`neg-mul-1_binary64`
241×	`distribute-rgt-neg-in_binary64`
214×	`distribute-lft-neg-in_binary64`
154×	`distribute-lft-in_binary64`
84×	`exp-prod_binary64`
72×	`distribute-lft-neg-out_binary64`
71×	`distribute-rgt-out_binary64`
63×	`sub-neg_binary64`
59×	`distribute-rgt-neg-out_binary64`
57×	`log-prod_binary64`
48×	`neg-sub0_binary64` `+-commutative_binary64`
45×	`*-lft-identity_binary64`
43×	`cube-prod_binary64`
37×	`*-rgt-identity_binary64`
36×	`sqr-pow_binary64`
31×	`distribute-lft-out_binary64`
26×	`swap-sqr_binary64`
23×	`unswap-sqr_binary64` `distribute-neg-in_binary64`
22×	`distribute-lft-out--_binary64`
18×	`associate-+l+_binary64`
17×	`unsub-neg_binary64` `associate--r+_binary64`
14×	`exp-sum_binary64`
13×	`associate-+r+_binary64`
12×	`distribute-rgt1-in_binary64` `associate-*l/_binary64`
11×	`unpow3_binary64`
9×	`cube-unmult_binary64` `associate-*r/_binary64`
8×	`cube-mult_binary64`
6×	`exp-diff_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64`
5×	`pow-plus_binary64` `rem-sqrt-square_binary64`
4×	`div-sub_binary64` `pow-sqr_binary64`
3×	`unpow1/2_binary64` `rem-square-sqrt_binary64` `distribute-lft1-in_binary64`
2×	`log-pow_binary64` `exp-lft-cube_binary64` `exp-neg_binary64` `associate-/l*_binary64`
1×	`log-div_binary64` `unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `count-2_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `/-rgt-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

171 → 153

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	6007
1	840	4997
2	2736	4869
3	4755	4869
4	5030	4869

prune152.0ms (5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	153	3	156

Error

Counts

156 → 3

Compiler

Compiled 3722 to 2876 computations (22.7% saved)

regimes234.0ms (7.7%)

Accuracy

Total 0.0b remaining (80%)

Threshold costs 0.0b (80%)

Compiler

Compiled 3921 to 3246 computations (17.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`sub-neg_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
2×	`distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `distribute-lft-neg-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` `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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	34
1	33	34
2	44	34
3	50	34
4	53	34
5	51	34

end1.0ms (0%)

Compiler: Compiled 22 to 18 computations (18.2% saved)

sample744.0ms (24.5%)

Algorithm

1×

intervals

Results

420.0ms	8000×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 112 to 96 computations (14.3% saved)

Details

analyze95.0ms (3.1%)

sample25.0ms (0.8%)

simplify79.0ms (2.6%)

prune1.0ms (0%)

localize11.0ms (0.4%)

rewrite221.0ms (7.3%)

series75.0ms (2.5%)

simplify177.0ms (5.8%)

prune102.0ms (3.4%)

localize13.0ms (0.4%)

rewrite238.0ms (7.8%)

series74.0ms (2.4%)

simplify160.0ms (5.3%)

prune113.0ms (3.7%)

localize13.0ms (0.4%)

rewrite243.0ms (8%)

series74.0ms (2.4%)

simplify188.0ms (6.2%)

prune152.0ms (5%)

regimes234.0ms (7.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample744.0ms (24.5%)

Profiling