Details

analyze1.2s (21.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4903	176
1	4903	176
0	5	5
1	5	5

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
13.2%	86.5%	0.2%	10
17%	82.8%	0.2%	11
18.2%	81.5%	0.2%	12
21.7%	78.1%	0.2%	13
32.9%	66.9%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	16×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify177.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (172.0ms)

Iter	Nodes	Cost
0	4973	16
1	4973	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

12.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 t (*.f64 a z))
11.9b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423` `add-sqr-sqrt_binary64_15445`
9×	`times-frac_binary64_15429`
4×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `add-log-exp_binary64_15462`
3×	`flip3--_binary64_15427` `associate-/l_binary64_15368` `flip--_binary64_15398` `associate-/r_binary64_15367`
2×	`pow1_binary64_15484` `associate-/l/_binary64_15370` `associate-/r/_binary64_15369`
1×	`frac-2neg_binary64_15434` `div-exp_binary64_15474` `div-sub_binary64_15428` `cbrt-undiv_binary64_15457` `div-inv_binary64_15420` `clear-num_binary64_15422` `diff-log_binary64_15515` `sub-neg_binary64_15416` `cancel-sign-sub-inv_binary64_15389`

Counts

2 → 44

Calls

2 calls:

7.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
3.0ms	(-.f64 t (*.f64 a z))

series117.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

91.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
26.0ms	(-.f64 t (*.f64 a z))

simplify84.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4952	970
1	4952	970

prune64.0ms (1.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	40	10	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	11	51

Error

11.9b

Counts

51 → 11

Compiler

Compiled 1119 to 294 computations (73.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 t (*.f64 z a))
0.2b	(/.f64 1 (-.f64 t (*.f64 z a)))
12.0b	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_15445`
20×	`times-frac_binary64_15429` `*-un-lft-identity_binary64_15423`
19×	`add-cube-cbrt_binary64_15458`
16×	`add-exp-log_binary64_15461`
15×	`associate-r_binary64_15363`
10×	`add-cbrt-cube_binary64_15459`
6×	`pow1_binary64_15484`
5×	`flip3--_binary64_15427` `flip--_binary64_15398` `add-log-exp_binary64_15462`
4×	`div-exp_binary64_15474` `prod-exp_binary64_15472` `associate-/r/_binary64_15369`
3×	`associate-/l_binary64_15368` `associate-/r_binary64_15367` `unswap-sqr_binary64_15391` `associate-l_binary64_15364`
2×	`rec-exp_binary64_15473` `1-exp_binary64_15467` `frac-times_binary64_15433` `cbrt-undiv_binary64_15457` `div-inv_binary64_15420` `cbrt-unprod_binary64_15456` `associate-*l/_binary64_15366`
1×	`-commutative_binary64_15354` `frac-2neg_binary64_15434` `inv-pow_binary64_15508` `pow-flip_binary64_15497` `clear-num_binary64_15422` `diff-log_binary64_15515` `pow-prod-down_binary64_15494` `associate-r/_binary64_15365` `un-div-inv_binary64_15421` `sub-neg_binary64_15416` `cancel-sign-sub-inv_binary64_15389`

Counts

3 → 87

Calls

3 calls:

13.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
5.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
3.0ms	(-.f64 t (*.f64 z a))

series151.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

83.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
41.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
27.0ms	(-.f64 t (*.f64 z a))

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4941	1563
1	4941	1563

prune81.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	96	11	107

Error

11.9b

Counts

107 → 11

Compiler

Compiled 1984 to 568 computations (71.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.9b	(.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (.f64 y z)))) (/.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (-.f64 t (.f64 z a))))
9.4b	(cbrt.f64 (-.f64 x (*.f64 y z)))
9.4b	(cbrt.f64 (-.f64 x (*.f64 y z)))
9.4b	(cbrt.f64 (-.f64 x (*.f64 y z)))

rewrite42.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-div_binary64_15455`
25×	`add-sqr-sqrt_binary64_15445`
24×	`associate-r_binary64_15363`
20×	`times-frac_binary64_15429` `add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423`
19×	`cbrt-prod_binary64_15454`
16×	`flip3--_binary64_15427` `frac-times_binary64_15433` `flip--_binary64_15398` `add-exp-log_binary64_15461`
12×	`associate-*l/_binary64_15366`
10×	`add-cbrt-cube_binary64_15459`
9×	`pow1_binary64_15484`
6×	`prod-exp_binary64_15472` `cbrt-unprod_binary64_15456`
5×	`associate-*r/_binary64_15365`
4×	`add-log-exp_binary64_15462`
3×	`unswap-sqr_binary64_15391` `pow-prod-down_binary64_15494` `pow1/3_binary64_15505`
2×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `associate-/r/_binary64_15369`
1×	`-commutative_binary64_15354` `div-inv_binary64_15420` `associate-l*_binary64_15364`

Counts

4 → 102

Calls

4 calls:

21.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (.f64 y z)))) (/.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (-.f64 t (.f64 z a))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))

series524.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

142.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (cbrt.f64 (-.f64 x (.f64 y z)))) (/.f64 (cbrt.f64 (-.f64 x (.f64 y z))) (-.f64 t (.f64 z a))))
136.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
125.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))
121.0ms	(cbrt.f64 (-.f64 x (*.f64 y z)))

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4990	3347
1	4990	3347

prune121.0ms (2.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	113	12	125

Error

11.9b

Counts

125 → 12

Compiler

Compiled 4090 to 712 computations (82.6% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.9b	(cbrt.f64 (-.f64 t (*.f64 a z)))
7.9b	(cbrt.f64 (-.f64 t (*.f64 z a)))
7.9b	(cbrt.f64 (-.f64 t (*.f64 z a)))
9.4b	(/.f64 (-.f64 x (.f64 y z)) (.f64 (cbrt.f64 (-.f64 t (.f64 z a))) (cbrt.f64 (-.f64 t (.f64 z a)))))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_15455`
10×	`flip3--_binary64_15427` `flip--_binary64_15398`
9×	`add-cube-cbrt_binary64_15458` `*-un-lft-identity_binary64_15423` `add-sqr-sqrt_binary64_15445` `add-exp-log_binary64_15461` `cbrt-prod_binary64_15454`
8×	`associate-/r/_binary64_15369`
7×	`add-cbrt-cube_binary64_15459`
4×	`pow1_binary64_15484` `frac-times_binary64_15433` `add-log-exp_binary64_15462`
3×	`times-frac_binary64_15429` `associate-/l*_binary64_15368` `pow1/3_binary64_15505`
2×	`div-exp_binary64_15474` `associate-/l/_binary64_15370` `cbrt-undiv_binary64_15457` `associate-r/_binary64_15365` `associate-l/_binary64_15366`
1×	`frac-2neg_binary64_15434` `div-sub_binary64_15428` `prod-exp_binary64_15472` `div-inv_binary64_15420` `associate-/r*_binary64_15367` `clear-num_binary64_15422` `cbrt-unprod_binary64_15456`

Counts

4 → 71

Calls

4 calls:

14.0ms	(/.f64 (-.f64 x (.f64 y z)) (.f64 (cbrt.f64 (-.f64 t (.f64 z a))) (cbrt.f64 (-.f64 t (.f64 z a)))))
3.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))
3.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))
3.0ms	(cbrt.f64 (-.f64 t (*.f64 a z)))

series887.0ms (15.8%)

Counts

4 → 12

Calls

4 calls:

526.0ms	(/.f64 (-.f64 x (.f64 y z)) (.f64 (cbrt.f64 (-.f64 t (.f64 z a))) (cbrt.f64 (-.f64 t (.f64 z a)))))
126.0ms	(cbrt.f64 (-.f64 t (*.f64 a z)))
121.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))
113.0ms	(cbrt.f64 (-.f64 t (*.f64 z a)))

simplify104.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4949	1975
1	4949	1975

prune88.0ms (1.6%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	82	13	95

Error

11.9b

Counts

95 → 13

Compiler

Compiled 2861 to 524 computations (81.7% saved)

regimes394.0ms (7%)

Accuracy

Total 0.3b remaining (3.1%)

Threshold costs 0.3b (3.1%)

Compiler

Compiled 5034 to 2950 computations (41.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	25
1	65	25

end0.0ms (0%)

sample1.3s (22.3%)

Algorithm

1×

intervals

Results

318.0ms	8000×	body	128	valid
32.0ms	743×	body	128	invalid

Compiler

Compiled 908 to 524 computations (42.3% saved)

Details

analyze1.2s (21.8%)

sample22.0ms (0.4%)

simplify177.0ms (3.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite13.0ms (0.2%)

series117.0ms (2.1%)

simplify84.0ms (1.5%)

prune64.0ms (1.1%)

localize10.0ms (0.2%)

rewrite32.0ms (0.6%)

series151.0ms (2.7%)

simplify83.0ms (1.5%)

prune81.0ms (1.4%)

localize12.0ms (0.2%)

rewrite42.0ms (0.8%)

series524.0ms (9.3%)

simplify81.0ms (1.4%)

prune121.0ms (2.1%)

localize16.0ms (0.3%)

rewrite32.0ms (0.6%)

series887.0ms (15.8%)

simplify104.0ms (1.8%)

prune88.0ms (1.6%)

regimes394.0ms (7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (22.3%)

Profiling