Details

analyze3.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

sample11.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify15.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	341	9
1	341	9

prune4.0ms (0.3%)

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: 0.1b

Counts

2 → 1

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 0.253 (*.f64 x 0.12))
0.1b	(.f64 x (+.f64 0.253 (.f64 x 0.12)))

rewrite10.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

6.0ms	(.f64 x (+.f64 0.253 (.f64 x 0.12)))
3.0ms	(+.f64 0.253 (*.f64 x 0.12))

series13.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(.f64 x (+.f64 0.253 (.f64 x 0.12)))
4.0ms	(+.f64 0.253 (*.f64 x 0.12))

simplify59.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5079	325

prune89.0ms (8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	31	8	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	8	40

Merged error: 0.0b

Counts

40 → 8

localize12.0ms (1.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 0.253) (.f64 x (*.f64 x 0.12)))
0.2b	(.f64 x (.f64 x 0.12))

rewrite15.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

9.0ms	(.f64 x (.f64 x 0.12))
5.0ms	(+.f64 (.f64 x 0.253) (.f64 x (*.f64 x 0.12)))

series13.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 (.f64 x 0.253) (.f64 x (*.f64 x 0.12)))
4.0ms	(.f64 x (.f64 x 0.12))

simplify58.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4942	272
1	4942	272

prune55.0ms (5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	37	7	44

Merged error: 0.0b

Counts

44 → 7

localize8.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 0.253) (.f64 (*.f64 x x) 0.12))
0.2b	(.f64 (.f64 x x) 0.12)

rewrite11.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
1×	`flip3-+_binary64` `associate-l_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) 0.12)
5.0ms	(+.f64 (.f64 x 0.253) (.f64 (*.f64 x x) 0.12))

series13.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 (.f64 x 0.253) (.f64 (*.f64 x x) 0.12))
4.0ms	(.f64 (.f64 x x) 0.12)

simplify50.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5035	277

prune54.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0b

Counts

43 → 7

localize11.0ms (1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (/.f64 (-.f64 (.f64 0.253 0.253) (.f64 0.12 (.f64 x (.f64 x 0.12)))) (-.f64 0.253 (.f64 x 0.12))))
0.2b	(/.f64 (-.f64 (.f64 0.253 0.253) (.f64 0.12 (.f64 x (.f64 x 0.12)))) (-.f64 0.253 (*.f64 x 0.12)))
0.2b	(.f64 x (.f64 x 0.12))
0.2b	(.f64 0.12 (.f64 x (*.f64 x 0.12)))

rewrite37.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
20×	`pow1_binary64`
19×	`times-frac_binary64`
17×	`associate-r_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
10×	`pow-prod-down_binary64`
9×	`associate-l_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`associate-*r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 105

Calls

4 calls:

12.0ms	(.f64 x (/.f64 (-.f64 (.f64 0.253 0.253) (.f64 0.12 (.f64 x (.f64 x 0.12)))) (-.f64 0.253 (.f64 x 0.12))))
8.0ms	(/.f64 (-.f64 (.f64 0.253 0.253) (.f64 0.12 (.f64 x (.f64 x 0.12)))) (-.f64 0.253 (*.f64 x 0.12)))
8.0ms	(.f64 0.12 (.f64 x (*.f64 x 0.12)))
6.0ms	(.f64 x (.f64 x 0.12))

series43.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(.f64 x (/.f64 (-.f64 (.f64 0.253 0.253) (.f64 0.12 (.f64 x (.f64 x 0.12)))) (-.f64 0.253 (.f64 x 0.12))))
13.0ms	(/.f64 (-.f64 (.f64 0.253 0.253) (.f64 0.12 (.f64 x (.f64 x 0.12)))) (-.f64 0.253 (*.f64 x 0.12)))
7.0ms	(.f64 0.12 (.f64 x (*.f64 x 0.12)))
4.0ms	(.f64 x (.f64 x 0.12))

simplify33.0ms (3%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5215	1451

prune168.0ms (15.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	117	7	124

Merged error: 0b

Counts

124 → 7

regimes37.0ms (3.3%)

Accuracy

Total 0.2b remaining (94.1%)

Threshold costs 0.2b (94.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	11
1	72	11

end0.0ms (0%)

sample277.0ms (25%)

Algorithm

1×

intervals

Results

192.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze3.0ms (0.3%)

sample11.0ms (1%)

simplify15.0ms (1.4%)

prune4.0ms (0.3%)

localize5.0ms (0.5%)

rewrite10.0ms (0.9%)

series13.0ms (1.1%)

simplify59.0ms (5.3%)

prune89.0ms (8%)

localize12.0ms (1.1%)

rewrite15.0ms (1.3%)

series13.0ms (1.2%)

simplify58.0ms (5.2%)

prune55.0ms (5%)

localize8.0ms (0.7%)

rewrite11.0ms (1%)

series13.0ms (1.2%)

simplify50.0ms (4.6%)

prune54.0ms (4.9%)

localize11.0ms (1%)

rewrite37.0ms (3.4%)

series43.0ms (3.8%)

simplify33.0ms (3%)

prune168.0ms (15.2%)

regimes37.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample277.0ms (25%)

Profiling