Details

analyze943.0ms (17.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
12.5%	87.3%	0.2%	7
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample35.0ms (0.6%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
3.0ms	38×	body	128	invalid

Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify182.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	417	16
1	417	16

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
0.0b	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
0.0b	(/.f64 (*.f64 y z) 2)

rewrite39.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cancel-sign-sub-inv_binary64_15389`
11×	`*-un-lft-identity_binary64_15423`
10×	`add-log-exp_binary64_15462`
9×	`times-frac_binary64_15429` `add-cube-cbrt_binary64_15458` `add-sqr-sqrt_binary64_15445`
8×	`add-exp-log_binary64_15461` `associate-+l+_binary64_15356` `add-cbrt-cube_binary64_15459`
3×	`pow1_binary64_15484` `div-inv_binary64_15420` `associate-/r*_binary64_15367`
2×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `sum-log_binary64_15514` `diff-log_binary64_15515` `sub-neg_binary64_15416`
1×	`associate-+l-_binary64_15358` `frac-2neg_binary64_15434` `flip3--_binary64_15427` `flip3-+_binary64_15426` `associate-/l*_binary64_15368` `distribute-lft-out_binary64_15374` `flip--_binary64_15398` `prod-exp_binary64_15472` `flip-+_binary64_15397` `clear-num_binary64_15422` `+-commutative_binary64_15353` `cbrt-unprod_binary64_15456`

Counts

3 → 61

Calls

3 calls:

13.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
11.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
7.0ms	(/.f64 (*.f64 y z) 2)

series154.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

66.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
64.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
24.0ms	(/.f64 (*.f64 y z) 2)

simplify131.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4919	967
1	4919	967

prune113.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	3	71

Merged error: 0b

Counts

71 → 3

Compiler

Compiled 1062 to 656 computations (38.2% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 1/8 x) (.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2)))) t)
0.3b	(*.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2)))
0.5b	(/.f64 z (sqrt.f64 2))
0.5b	(/.f64 y (sqrt.f64 2))

rewrite96.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`add-sqr-sqrt_binary64_15445`
84×	`times-frac_binary64_15429`
62×	`*-un-lft-identity_binary64_15423`
60×	`add-cube-cbrt_binary64_15458`
48×	`sqrt-prod_binary64_15439`
22×	`associate-r_binary64_15363` `associate-l_binary64_15364`
20×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
12×	`associate-/r*_binary64_15367`
9×	`unswap-sqr_binary64_15391` `add-log-exp_binary64_15462`
6×	`pow1_binary64_15484` `div-exp_binary64_15474` `associate-/l*_binary64_15368` `cbrt-undiv_binary64_15457`
4×	`prod-exp_binary64_15472` `div-inv_binary64_15420` `cbrt-unprod_binary64_15456`
2×	`frac-2neg_binary64_15434` `sum-log_binary64_15514` `clear-num_binary64_15422` `associate-+l+_binary64_15356`
1×	`-commutative_binary64_15354` `associate-+l-_binary64_15358` `flip3-+_binary64_15426` `frac-times_binary64_15433` `distribute-lft-out_binary64_15374` `flip-+_binary64_15397` `diff-log_binary64_15515` `+-commutative_binary64_15353` `pow-prod-down_binary64_15494` `associate-r/_binary64_15365` `sub-neg_binary64_15416` `associate-*l/_binary64_15366` `cancel-sign-sub-inv_binary64_15389`

Counts

4 → 167

Calls

4 calls:

34.0ms	(*.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2)))
13.0ms	(+.f64 (-.f64 (.f64 1/8 x) (.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2)))) t)
8.0ms	(/.f64 y (sqrt.f64 2))
8.0ms	(/.f64 z (sqrt.f64 2))

series429.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(+.f64 (-.f64 (.f64 1/8 x) (.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2)))) t)
134.0ms	(*.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2)))
73.0ms	(/.f64 y (sqrt.f64 2))
66.0ms	(/.f64 z (sqrt.f64 2))

simplify174.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4955	2536
1	4955	2536

prune354.0ms (6.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	179	3	182

Merged error: 0b

Counts

182 → 3

Compiler

Compiled 3598 to 2561 computations (28.8% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 t (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
0.0b	(/.f64 (*.f64 y z) 2)
0.1b	(pow.f64 (+.f64 t (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) 3)
45.5b	(cbrt.f64 (pow.f64 (+.f64 t (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) 3))

rewrite64.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_15423`
14×	`add-cube-cbrt_binary64_15458` `add-sqr-sqrt_binary64_15445` `cbrt-prod_binary64_15454`
10×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
9×	`add-log-exp_binary64_15462`
8×	`cube-prod_binary64_15451` `associate-+r+_binary64_15355` `unpow-prod-down_binary64_15502`
7×	`cancel-sign-sub-inv_binary64_15389`
6×	`times-frac_binary64_15429`
5×	`pow1_binary64_15484` `distribute-lft-out_binary64_15374`
4×	`cube-div_binary64_15452`
3×	`flip3-+_binary64_15426` `flip-+_binary64_15397` `associate-/r*_binary64_15367` `pow-unpow_binary64_15500`
2×	`cube-mult_binary64_15453` `div-exp_binary64_15474` `unpow3_binary64_15489` `cbrt-undiv_binary64_15457` `div-inv_binary64_15420` `sum-log_binary64_15514` `sqr-pow_binary64_15395` `cbrt-div_binary64_15455`
1×	`rem-cube-cbrt_binary64_15446` `frac-2neg_binary64_15434` `pow-pow_binary64_15495` `associate-/l*_binary64_15368` `pow-to-exp_binary64_15492` `prod-exp_binary64_15472` `clear-num_binary64_15422` `diff-log_binary64_15515` `+-commutative_binary64_15353` `pow1/3_binary64_15505` `sub-neg_binary64_15416` `associate-+r-_binary64_15357` `cbrt-unprod_binary64_15456` `pow-exp_binary64_15491` `rem-cbrt-cube_binary64_15447`

Counts

4 → 95

Calls

4 calls:

15.0ms	(pow.f64 (+.f64 t (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) 3)
14.0ms	(cbrt.f64 (pow.f64 (+.f64 t (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) 3))
14.0ms	(+.f64 t (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
8.0ms	(/.f64 (*.f64 y z) 2)

series719.0ms (13%)

Counts

4 → 12

Calls

4 calls:

538.0ms	(pow.f64 (+.f64 t (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) 3)
93.0ms	(cbrt.f64 (pow.f64 (+.f64 t (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))) 3))
65.0ms	(+.f64 t (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)))
23.0ms	(/.f64 (*.f64 y z) 2)

simplify76.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5022	2101

prune191.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

Compiler

Compiled 2143 to 1406 computations (34.4% saved)

regimes277.0ms (5%)

Compiler: Compiled 775 to 851 computations (-9.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	16
1	50	16

end0.0ms (0%)

sample1.5s (26.7%)

Algorithm

1×

intervals

Results

609.0ms	7999×	body	128	valid
95.0ms	1187×	body	128	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 113 to 121 computations (-7.1% saved)

Details

analyze943.0ms (17.1%)

sample35.0ms (0.6%)

simplify182.0ms (3.3%)

prune6.0ms (0.1%)

localize15.0ms (0.3%)

rewrite39.0ms (0.7%)

series154.0ms (2.8%)

simplify131.0ms (2.4%)

prune113.0ms (2%)

localize22.0ms (0.4%)

rewrite96.0ms (1.7%)

series429.0ms (7.8%)

simplify174.0ms (3.1%)

prune354.0ms (6.4%)

localize25.0ms (0.5%)

rewrite64.0ms (1.2%)

series719.0ms (13%)

simplify76.0ms (1.4%)

prune191.0ms (3.5%)

regimes277.0ms (5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (26.7%)

Profiling