Details

analyze1.1s (18.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3763	60
1	3763	60
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
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

Symmetry

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	738	15
1	738	15

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
3.2b	(*.f64 (/.f64 x y) z)

rewrite110.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`*-un-lft-identity_binary64_419`
25×	`add-sqr-sqrt_binary64_441`
22×	`times-frac_binary64_425`
20×	`add-cube-cbrt_binary64_454`
13×	`associate-l_binary64_360`
10×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`pow1_binary64_480` `add-log-exp_binary64_458`
4×	`distribute-lft-out_binary64_370` `associate-/l*_binary64_364`
3×	`associate-l/_binary64_362` `associate-r_binary64_359` `associate-/r_binary64_363`
2×	`div-exp_binary64_470` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `cbrt-undiv_binary64_453` `unswap-sqr_binary64_387` `div-inv_binary64_416` `associate-/l/_binary64_366`
1×	`pow-prod-down_binary64_490` `*-commutative_binary64_350` `diff-log_binary64_511` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385` `frac-2neg_binary64_430` `clear-num_binary64_418` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

3 → 79

Calls

3 calls:

14.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)
5.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1545 to 746 computations (51.7% saved)

series408.0ms (6.8%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

221.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
96.0ms	(*.f64 (/.f64 x y) z)
66.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1124 to 782 computations (30.4% saved)

simplify86.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5171	1334

prune99.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	105	7	112
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	106	8	114

Error

Counts

114 → 8

Compiler

Compiled 1897 to 924 computations (51.3% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
1.0b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 z (/.f64 (cbrt.f64 x) (cbrt.f64 y))))

rewrite123.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

73×	`add-exp-log_binary64_457`
39×	`add-cbrt-cube_binary64_455`
37×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
17×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
9×	`pow1_binary64_480` `cbrt-prod_binary64_450`
8×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
5×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `associate-*r/_binary64_361` `pow1/3_binary64_501`
1×	`frac-times_binary64_429` `associate-l/_binary64_362` `times-frac_binary64_425` `div-inv_binary64_416` `associate-r_binary64_359` `-commutative_binary64_350`

Counts

4 → 82

Calls

4 calls:

18.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 z (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2894 to 705 computations (75.6% saved)

series397.0ms (6.6%)

Error

Counts

4 → 18

Calls

4 calls:

145.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 z (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
84.0ms	(cbrt.f64 y)
79.0ms	(cbrt.f64 y)
72.0ms	(cbrt.f64 y)

Compiler

Compiled 1140 to 741 computations (35% saved)

simplify91.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5108	806

prune88.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	100	8	108

Error

Counts

108 → 8

Compiler

Compiled 2274 to 848 computations (62.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
1.2b	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
2.3b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))

rewrite117.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-exp-log_binary64_457`
21×	`add-cbrt-cube_binary64_455`
18×	`pow1_binary64_480` `add-sqr-sqrt_binary64_441`
17×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
15×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
14×	`associate-l_binary64_360`
10×	`times-frac_binary64_425`
9×	`pow-prod-down_binary64_490` `cbrt-prod_binary64_450`
7×	`associate-r_binary64_359`
4×	`div-exp_binary64_470` `add-log-exp_binary64_458` `cbrt-undiv_binary64_453`
3×	`associate-*l/_binary64_362`
2×	`unswap-sqr_binary64_387` `*-commutative_binary64_350` `pow1/3_binary64_501`
1×	`div-inv_binary64_416`

Counts

4 → 86

Calls

4 calls:

16.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
10.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 2191 to 731 computations (66.6% saved)

series627.0ms (10.4%)

Error

Counts

4 → 24

Calls

4 calls:

353.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
116.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
71.0ms	(cbrt.f64 z)
68.0ms	(cbrt.f64 z)

Compiler

Compiled 1263 to 924 computations (26.8% saved)

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5003	1058

prune101.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	110	8	118

Error

Counts

118 → 8

Compiler

Compiled 2237 to 1048 computations (53.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
6.8b	(*.f64 x (/.f64 z y))

rewrite101.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`*-un-lft-identity_binary64_419`
25×	`add-sqr-sqrt_binary64_441`
22×	`times-frac_binary64_425`
20×	`add-cube-cbrt_binary64_454`
13×	`associate-r_binary64_359`
10×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`pow1_binary64_480` `add-log-exp_binary64_458`
4×	`distribute-lft-out_binary64_370` `associate-/l*_binary64_364`
3×	`associate-r/_binary64_361` `associate-l_binary64_360` `associate-/r_binary64_363`
2×	`div-exp_binary64_470` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `cbrt-undiv_binary64_453` `unswap-sqr_binary64_387` `div-inv_binary64_416` `associate-/l/_binary64_366`
1×	`pow-prod-down_binary64_490` `*-commutative_binary64_350` `diff-log_binary64_511` `frac-sub_binary64_428` `sub-div_binary64_426` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385` `frac-2neg_binary64_430` `clear-num_binary64_418` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

3 → 79

Calls

3 calls:

11.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
7.0ms	(*.f64 x (/.f64 z y))
5.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1545 to 746 computations (51.7% saved)

series423.0ms (7%)

Error

Counts

3 → 33

Calls

3 calls:

233.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
101.0ms	(*.f64 x (/.f64 z y))
67.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1124 to 790 computations (29.7% saved)

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5547	1346

prune85.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	112	8	120

Error

Counts

120 → 8

Compiler

Compiled 1759 to 818 computations (53.5% saved)

regimes365.0ms (6.1%)

Accuracy

Total 0.7b remaining (99.4%)

Threshold costs 0.7b (99.4%)

Compiler

Compiled 3797 to 2766 computations (27.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	42
1	78	42

Removed

()

end0.0ms (0%)

sample1.4s (23.1%)

Algorithm

1×

intervals

Results

320.0ms	8000×	body	128	valid
48.0ms	1169×	body	128	invalid

Compiler

Compiled 788 to 572 computations (27.4% saved)

Details

analyze1.1s (18.5%)

sample22.0ms (0.4%)

simplify69.0ms (1.1%)

prune5.0ms (0.1%)

localize9.0ms (0.1%)

rewrite110.0ms (1.8%)

series408.0ms (6.8%)

simplify86.0ms (1.4%)

prune99.0ms (1.6%)

localize17.0ms (0.3%)

rewrite123.0ms (2%)

series397.0ms (6.6%)

simplify91.0ms (1.5%)

prune88.0ms (1.5%)

localize13.0ms (0.2%)

rewrite117.0ms (1.9%)

series627.0ms (10.4%)

simplify63.0ms (1%)

prune101.0ms (1.7%)

localize8.0ms (0.1%)

rewrite101.0ms (1.7%)

series423.0ms (7%)

simplify83.0ms (1.4%)

prune85.0ms (1.4%)

regimes365.0ms (6.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (23.1%)

Profiling