Details

analyze1.4s (17.9%)

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
16.4%	83.4%	0.2%	11
19.9%	79.9%	0.2%	12
21.6%	77.2%	1.2%	13
24.8%	73.7%	1.4%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	101×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify182.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	551	13
1	551	13

prune3.0ms (0%)

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

5.2b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
4.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
9×	`times-frac_binary64_14747`
4×	`add-log-exp_binary64_14780` `add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
3×	`associate-/r_binary64_14685` `associate-/l_binary64_14686`
2×	`associate-/l/_binary64_14688` `flip--_binary64_14716` `flip3--_binary64_14745` `pow1_binary64_14802`
1×	`div-sub_binary64_14746` `frac-2neg_binary64_14752` `div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `cancel-sign-sub-inv_binary64_14707` `div-exp_binary64_14792` `diff-log_binary64_14833` `sub-neg_binary64_14734` `clear-num_binary64_14740`

Counts

2 → 42

Calls

2 calls:

8.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
4.0ms	(-.f64 (.f64 x y) (.f64 z t))

series105.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
45.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5564	868

prune97.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	36	12	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	13	49

Error

4.9b

Counts

49 → 13

Compiler

Compiled 1006 to 277 computations (72.5% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
0.4b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
4.9b	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_14747`
55×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
18×	`associate-/r*_binary64_14685`
16×	`add-exp-log_binary64_14779`
11×	`associate-/r/_binary64_14687`
10×	`add-cbrt-cube_binary64_14777`
8×	`div-exp_binary64_14792`
6×	`div-inv_binary64_14738` `associate-/l*_binary64_14686` `flip--_binary64_14716` `flip3--_binary64_14745`
5×	`add-log-exp_binary64_14780`
4×	`cbrt-undiv_binary64_14775` `pow1_binary64_14802`
2×	`frac-2neg_binary64_14752` `1-exp_binary64_14785` `rec-exp_binary64_14791` `clear-num_binary64_14740`
1×	`cancel-sign-sub-inv_binary64_14707` `diff-log_binary64_14833` `sub-neg_binary64_14734` `pow-flip_binary64_14815` `inv-pow_binary64_14826`

Counts

3 → 125

Calls

3 calls:

9.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
6.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
5.0ms	(-.f64 (.f64 x y) (.f64 z t))

series267.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

147.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
71.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
49.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify127.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5274	3194

prune168.0ms (2.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	133	14	147

Error

4.9b

Counts

147 → 14

Compiler

Compiled 2936 to 710 computations (75.8% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 a (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t)))))
5.8b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
5.8b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
5.8b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

rewrite62.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`times-frac_binary64_14747`
33×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
27×	`cbrt-prod_binary64_14772`
24×	`associate-/r*_binary64_14685`
22×	`cbrt-div_binary64_14773`
16×	`add-exp-log_binary64_14779`
11×	`flip--_binary64_14716` `flip3--_binary64_14745`
10×	`add-cbrt-cube_binary64_14777`
8×	`associate-/l/_binary64_14688`
6×	`cbrt-undiv_binary64_14775` `div-exp_binary64_14792`
5×	`associate-/r/_binary64_14687`
4×	`frac-times_binary64_14751` `add-log-exp_binary64_14780` `pow1_binary64_14802`
3×	`pow1/3_binary64_14823` `div-inv_binary64_14738`
2×	`cbrt-unprod_binary64_14774` `associate-r/_binary64_14683` `associate-l/_binary64_14684` `prod-exp_binary64_14790`
1×	`frac-2neg_binary64_14752` `associate-/l*_binary64_14686` `clear-num_binary64_14740`

Counts

4 → 115

Calls

4 calls:

19.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 a (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t)))))
7.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
7.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))

series747.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
190.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
186.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))
103.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z t)))) (/.f64 a (cbrt.f64 (-.f64 (.f64 x y) (*.f64 z t)))))

simplify115.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4991	4410
1	4991	4410

prune196.0ms (2.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	126	15	141

Error

4.9b

Counts

141 → 15

Compiler

Compiled 4863 to 720 computations (85.2% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.2b	(cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))
4.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
4.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
4.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_14747`
35×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
13×	`cbrt-prod_binary64_14772`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
9×	`associate-/r_binary64_14685` `associate-/l_binary64_14686`
6×	`associate-/l/_binary64_14688`
4×	`div-inv_binary64_14738` `add-log-exp_binary64_14780` `pow1_binary64_14802`
3×	`div-sub_binary64_14746` `frac-2neg_binary64_14752` `cbrt-undiv_binary64_14775` `div-exp_binary64_14792` `flip--_binary64_14716` `flip3--_binary64_14745` `clear-num_binary64_14740`
1×	`pow1/3_binary64_14823` `cbrt-div_binary64_14773`

Counts

4 → 112

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
7.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
6.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
4.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))

series659.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

382.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 x y) (.f64 z t)) a))
104.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
90.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
83.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

simplify128.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4973	2572
1	4973	2572

prune204.0ms (2.7%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	11	11
Picked	0	1	1
Done	0	3	3
Total	124	15	139

Error

4.9b

Counts

139 → 15

Compiler

Compiled 4926 to 491 computations (90% saved)

regimes947.0ms (12.4%)

Accuracy

Total 0.4b remaining (4.7%)

Threshold costs 0.4b (4.7%)

Compiler

Compiled 7840 to 4754 computations (39.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	46	16
1	46	16

end0.0ms (0%)

sample1.9s (25.6%)

Algorithm

1×

intervals

Results

438.0ms	8000×	body	128	valid
171.0ms	3037×	body	128	invalid

Compiler

Compiled 840 to 508 computations (39.5% saved)

Details

analyze1.4s (17.9%)

sample27.0ms (0.4%)

simplify182.0ms (2.4%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite14.0ms (0.2%)

series105.0ms (1.4%)

simplify100.0ms (1.3%)

prune97.0ms (1.3%)

localize12.0ms (0.2%)

rewrite37.0ms (0.5%)

series267.0ms (3.5%)

simplify127.0ms (1.7%)

prune168.0ms (2.2%)

localize22.0ms (0.3%)

rewrite62.0ms (0.8%)

series747.0ms (9.8%)

simplify115.0ms (1.5%)

prune196.0ms (2.6%)

localize26.0ms (0.3%)

rewrite45.0ms (0.6%)

series659.0ms (8.7%)

simplify128.0ms (1.7%)

prune204.0ms (2.7%)

regimes947.0ms (12.4%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.9s (25.6%)

Profiling