Details

analyze7.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	12.5%	87.5%	2
0%	6.3%	93.7%	3
0%	3.1%	96.9%	4
0%	1.6%	98.4%	5
0%	0.8%	99.2%	6
0%	0.4%	99.6%	7
0%	0.2%	99.8%	8
0.1%	0.1%	99.8%	9
0.1%	0%	99.9%	10
0.1%	0%	99.9%	11
0.1%	0%	99.9%	12
0.1%	0%	99.9%	13
0.1%	0%	99.9%	14

sample62.0ms (0.7%)

Algorithm

1×

intervals

Results

50.0ms	256×	body	80	valid
3.0ms	261×	pre	80	true
1.0ms	5×	body	80	invalid

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5216	49

prune13.0ms (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

Merged error: 2.6b

Counts

2 → 2

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
0.5b	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)
2.4b	(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
61×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
26×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
19×	`pow1_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
6×	`add-log-exp_binary64`
3×	`sqrt-prod_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-plus_binary64` `pow-sqr_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `rem-exp-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `exp-to-pow_binary64` `exp-prod_binary64`

Counts

4 → 157

Calls

4 calls:

11.0ms	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
11.0ms	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
2.0ms	(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
1.0ms	(sqrt.f64 PI.f64)

series39.0ms (0.4%)

Counts

4 → 10

Calls

4 calls:

14.0ms	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
14.0ms	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
11.0ms	(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))
0.0ms	(sqrt.f64 PI.f64)

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5090	1380

prune1.1s (12.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	157	10	167
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	159	10	169

Merged error: 0.9b

Counts

169 → 10

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
0.5b	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
1.0b	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
1.0b	(sqrt.f64 PI.f64)

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
64×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
26×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
20×	`pow1_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `pow-pow_binary64`
3×	`pow-unpow_binary64` `unpow-prod-down_binary64` `sqrt-prod_binary64` `exp-prod_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-plus_binary64` `pow-sqr_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64`

Counts

4 → 167

Calls

4 calls:

11.0ms	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
11.0ms	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
3.0ms	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
2.0ms	(sqrt.f64 PI.f64)

series61.0ms (0.7%)

Counts

4 → 10

Calls

4 calls:

33.0ms	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
14.0ms	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
14.0ms	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
0.0ms	(sqrt.f64 PI.f64)

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5043	1383

prune1.2s (14.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	164	13	177
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	169	18	187

Merged error: 0.6b

Counts

187 → 18

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
0.6b	(pow.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 (fabs.f64 x))) 3)
1.0b	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
1.0b	(sqrt.f64 PI.f64)

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`times-frac_binary64`
100×	`add-sqr-sqrt_binary64`
87×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
75×	`sqrt-prod_binary64`
43×	`unpow-prod-down_binary64`
40×	`cube-prod_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`pow1_binary64`
13×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
6×	`pow-unpow_binary64` `div-inv_binary64`
5×	`cbrt-undiv_binary64` `pow-pow_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`pow-exp_binary64` `exp-prod_binary64`
2×	`pow-to-exp_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `sqrt-pow2_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `sqrt-undiv_binary64` `pow-plus_binary64` `cube-div_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `frac-times_binary64` `pow2_binary64` `unpow3_binary64` `associate-l/_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 201

Calls

4 calls:

11.0ms	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
10.0ms	(pow.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 (fabs.f64 x))) 3)
4.0ms	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
2.0ms	(sqrt.f64 PI.f64)

series69.0ms (0.8%)

Counts

4 → 10

Calls

4 calls:

28.0ms	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
27.0ms	(pow.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 (fabs.f64 x))) 3)
14.0ms	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
0.0ms	(sqrt.f64 PI.f64)

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5030	2262

prune1.7s (19.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	206	5	211
Fresh	3	14	17
Picked	1	0	1
Done	0	0	0
Total	210	19	229

Merged error: 0.6b

Counts

229 → 19

localize51.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
0.6b	(pow.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 (fabs.f64 x))) 3)
1.0b	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
1.0b	(sqrt.f64 PI.f64)

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`times-frac_binary64`
100×	`add-sqr-sqrt_binary64`
87×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
75×	`sqrt-prod_binary64`
43×	`unpow-prod-down_binary64`
40×	`cube-prod_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`pow1_binary64`
13×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
6×	`pow-unpow_binary64` `div-inv_binary64`
5×	`cbrt-undiv_binary64` `pow-pow_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`pow-exp_binary64` `exp-prod_binary64`
2×	`pow-to-exp_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `sqrt-pow2_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `sqrt-undiv_binary64` `pow-plus_binary64` `cube-div_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `frac-times_binary64` `pow2_binary64` `unpow3_binary64` `associate-l/_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 201

Calls

4 calls:

11.0ms	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
10.0ms	(pow.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 (fabs.f64 x))) 3)
4.0ms	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
2.0ms	(sqrt.f64 PI.f64)

series69.0ms (0.8%)

Counts

4 → 10

Calls

4 calls:

32.0ms	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
23.0ms	(pow.f64 (/.f64 (sqrt.f64 1.0) (sqrt.f64 (fabs.f64 x))) 3)
14.0ms	(*.f64 (/.f64 1.0 (fabs.f64 x)) (/.f64 1.0 (fabs.f64 x)))
0.0ms	(sqrt.f64 PI.f64)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5122	2190

prune1.7s (19.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	203	8	211
Fresh	4	14	18
Picked	1	0	1
Done	0	0	0
Total	208	22	230

Merged error: 0.5b

Counts

230 → 22

regimes278.0ms (3.2%)

Accuracy

Total 0.7b remaining (52%)

Threshold costs 0.7b (52%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	113
1	65	113

end0.0ms (0%)

sample1.8s (20.6%)

Algorithm

1×

intervals

Results

1.6s	8000×	body	80	valid
92.0ms	8112×	pre	80	true
22.0ms	112×	body	80	invalid

Details

analyze7.0ms (0.1%)

sample62.0ms (0.7%)

simplify22.0ms (0.3%)

prune13.0ms (0.1%)

localize29.0ms (0.3%)

rewrite36.0ms (0.4%)

series39.0ms (0.4%)

simplify52.0ms (0.6%)

prune1.1s (12.6%)

localize37.0ms (0.4%)

rewrite34.0ms (0.4%)

series61.0ms (0.7%)

simplify71.0ms (0.8%)

prune1.2s (14.1%)

localize44.0ms (0.5%)

rewrite36.0ms (0.4%)

series69.0ms (0.8%)

simplify53.0ms (0.6%)

prune1.7s (19.9%)

localize51.0ms (0.6%)

rewrite36.0ms (0.4%)

series69.0ms (0.8%)

simplify62.0ms (0.7%)

prune1.7s (19.4%)

regimes278.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (20.6%)

Profiling