Details

analyze1.6s (22.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

sample48.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	80	valid
9.0ms	156×	body	80	invalid

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4953	17
1	4953	17

prune16.0ms (0.2%)

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

Merged error: 8.0b

Counts

2 → 2

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9.0) y)
0.5b	(-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9.0) y) b) z) (.f64 4.0 (.f64 t a)))
3.1b	(/.f64 (+.f64 (.f64 (.f64 x 9.0) y) b) z)
10.6b	(/.f64 (-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9.0) y) b) z) (.f64 4.0 (.f64 t a))) c)

rewrite41.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
4×	`associate-/l/_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-l_binary64` `div-sub_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9.0) y) b) z) (.f64 4.0 (.f64 t a))) c)
11.0ms	(-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9.0) y) b) z) (.f64 4.0 (.f64 t a)))
9.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9.0) y) b) z)
5.0ms	(.f64 (.f64 x 9.0) y)

series126.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(/.f64 (-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9.0) y) b) z) (.f64 4.0 (.f64 t a))) c)
48.0ms	(-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9.0) y) b) z) (.f64 4.0 (.f64 t a)))
17.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9.0) y) b) z)
5.0ms	(.f64 (.f64 x 9.0) y)

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4947	1624
1	4947	1624

prune223.0ms (3.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	87	13	100
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	88	14	102

Merged error: 7.6b

Counts

102 → 14

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9.0 (/.f64 (.f64 x y) (*.f64 z c)))
4.9b	(/.f64 b (*.f64 z c))
5.9b	(/.f64 (.f64 4.0 (.f64 t a)) c)
9.6b	(/.f64 (.f64 x y) (.f64 z c))

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`cbrt-unprod_binary64` `prod-exp_binary64`
13×	`cbrt-undiv_binary64` `div-exp_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`times-frac_binary64`
6×	`pow1_binary64`
5×	`associate-/r_binary64` `associate-r_binary64` `associate-/l_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

10.0ms	(.f64 9.0 (/.f64 (.f64 x y) (*.f64 z c)))
6.0ms	(/.f64 (.f64 4.0 (.f64 t a)) c)
6.0ms	(/.f64 (.f64 x y) (.f64 z c))
5.0ms	(/.f64 b (*.f64 z c))

series36.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(.f64 9.0 (/.f64 (.f64 x y) (*.f64 z c)))
10.0ms	(/.f64 (.f64 x y) (.f64 z c))
7.0ms	(/.f64 (.f64 4.0 (.f64 t a)) c)
6.0ms	(/.f64 b (*.f64 z c))

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5020	876

prune233.0ms (3.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	0	13	13
Picked	1	0	1
Done	0	0	0
Total	100	20	120

Merged error: 3.4b

Counts

120 → 20

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 (.f64 x y) (*.f64 z c)) (sqrt.f64 9.0))
4.9b	(/.f64 b (*.f64 z c))
5.9b	(/.f64 (.f64 4.0 (.f64 t a)) c)
9.6b	(/.f64 (.f64 x y) (.f64 z c))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`cbrt-unprod_binary64` `prod-exp_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`cbrt-undiv_binary64` `div-exp_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`times-frac_binary64`
6×	`pow1_binary64` `associate-r_binary64`
5×	`associate-/r_binary64` `associate-l_binary64` `associate-/l_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64` `sqrt-prod_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

10.0ms	(.f64 (/.f64 (.f64 x y) (*.f64 z c)) (sqrt.f64 9.0))
8.0ms	(/.f64 (.f64 4.0 (.f64 t a)) c)
6.0ms	(/.f64 (.f64 x y) (.f64 z c))
4.0ms	(/.f64 b (*.f64 z c))

series41.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(.f64 (/.f64 (.f64 x y) (*.f64 z c)) (sqrt.f64 9.0))
10.0ms	(/.f64 (.f64 x y) (.f64 z c))
8.0ms	(/.f64 (.f64 4.0 (.f64 t a)) c)
6.0ms	(/.f64 b (*.f64 z c))

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5034	962

prune237.0ms (3.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	110	20	130

Merged error: 3.4b

Counts

130 → 20

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9.0 (/.f64 (.f64 x y) (*.f64 z c)))
4.5b	(*.f64 (/.f64 1 z) (/.f64 b c))
5.9b	(/.f64 (.f64 4.0 (.f64 t a)) c)
9.6b	(/.f64 (.f64 x y) (.f64 z c))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`add-exp-log_binary64`
55×	`add-cbrt-cube_binary64`
41×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
24×	`*-un-lft-identity_binary64` `prod-exp_binary64`
22×	`add-cube-cbrt_binary64`
20×	`cbrt-unprod_binary64`
19×	`div-exp_binary64`
18×	`associate-r_binary64`
16×	`associate-l_binary64`
15×	`cbrt-undiv_binary64`
8×	`pow1_binary64`
7×	`unswap-sqr_binary64`
5×	`div-inv_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64`
2×	`pow-prod-down_binary64` `1-exp_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `associate-/l_binary64` `*-commutative_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 129

Calls

4 calls:

10.0ms	(*.f64 (/.f64 1 z) (/.f64 b c))
8.0ms	(.f64 9.0 (/.f64 (.f64 x y) (*.f64 z c)))
6.0ms	(/.f64 (.f64 4.0 (.f64 t a)) c)
6.0ms	(/.f64 (.f64 x y) (.f64 z c))

series35.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(.f64 9.0 (/.f64 (.f64 x y) (*.f64 z c)))
10.0ms	(/.f64 (.f64 x y) (.f64 z c))
7.0ms	(/.f64 (.f64 4.0 (.f64 t a)) c)
6.0ms	(*.f64 (/.f64 1 z) (/.f64 b c))

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5049	1156

prune167.0ms (2.4%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	141	20	161

Merged error: 3.4b

Counts

161 → 20

regimes2.4s (33.8%)

Accuracy

Total 3.5b remaining (55.5%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	168	195
1	168	195

end0.0ms (0%)

sample1.4s (19.3%)

Algorithm

1×

intervals

Results

502.0ms	8000×	body	80	valid
312.0ms	4867×	body	80	invalid

Details

analyze1.6s (22.8%)

sample48.0ms (0.7%)

simplify80.0ms (1.1%)

prune16.0ms (0.2%)

localize13.0ms (0.2%)

rewrite41.0ms (0.6%)

series126.0ms (1.8%)

simplify58.0ms (0.8%)

prune223.0ms (3.1%)

localize17.0ms (0.2%)

rewrite31.0ms (0.4%)

series36.0ms (0.5%)

simplify61.0ms (0.9%)

prune233.0ms (3.3%)

localize18.0ms (0.3%)

rewrite32.0ms (0.5%)

series41.0ms (0.6%)

simplify63.0ms (0.9%)

prune237.0ms (3.3%)

localize22.0ms (0.3%)

rewrite36.0ms (0.5%)

series35.0ms (0.5%)

simplify68.0ms (1%)

prune167.0ms (2.4%)

regimes2.4s (33.8%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (19.3%)

Profiling