Details

analyze435.0ms (9.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample33.0ms (0.7%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
2.0ms	25×	body	128	invalid

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify138.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	135	10
1	135	10

prune8.0ms (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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 27 to 25 computations (7.4% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_4170`
5×	`add-sqr-sqrt_binary64_4192` `associate-r_binary64_4110`
3×	`pow1_binary64_4231` `associate-l_binary64_4111` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `distribute-lft-out_binary64_4121` `add-cube-cbrt_binary64_4205`
2×	`associate-*r/_binary64_4112`
1×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `flip-+_binary64_4144` `flip3-+_binary64_4173` `*-commutative_binary64_4101` `pow-prod-down_binary64_4241` `add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`

Counts

1 → 24

Calls

2 calls:

16.0ms	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
0.0ms	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series164.0ms (3.6%)

Counts

1 → 15

Calls

1 calls:

164.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 196 to 178 computations (9.2% saved)

simplify111.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4922	411
1	4922	411

prune60.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Error

Counts

41 → 3

Compiler

Compiled 413 to 256 computations (38% saved)

localize18.0ms (0.4%)

Local error

Found 6 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

rewrite40.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_4209`
7×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
5×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
4×	`associate-l_binary64_4111` `sum-log_binary64_4261`
3×	`flip-+_binary64_4144` `associate-r_binary64_4110` `flip3-+_binary64_4173`
2×	`associate-*l/_binary64_4113` `+-commutative_binary64_4100`
1×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `*-commutative_binary64_4101` `pow-prod-down_binary64_4241` `associate-+l+_binary64_4103` `distribute-lft-out_binary64_4121` `unswap-sqr_binary64_4138`

Counts

3 → 45

Calls

6 calls:

13.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
12.0ms	(*.f64 (+.f64 d3 5) d1)
8.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0ms	(*.f64 (+.f64 d3 5) d1)
0.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

series459.0ms (10.1%)

Counts

3 → 39

Calls

3 calls:

204.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
201.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
54.0ms	(*.f64 (+.f64 d3 5) d1)

Compiler

Compiled 697 to 598 computations (14.2% saved)

simplify86.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4992	901
1	4992	901

prune107.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Error

Counts

87 → 3

Compiler

Compiled 1143 to 682 computations (40.3% saved)

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 d1)
0.5b	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
0.4b	(.f64 (.f64 (cbrt.f64 d1) (cbrt.f64 d1)) (*.f64 (+.f64 d2 (+.f64 d3 37)) (cbrt.f64 d1)))
0.3b	(*.f64 (+.f64 d2 (+.f64 d3 37)) (cbrt.f64 d1))
0.5b	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4201`
23×	`add-sqr-sqrt_binary64_4192`
15×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
11×	`pow1_binary64_4231`
9×	`pow1/3_binary64_4252`
6×	`swap-sqr_binary64_4137` `associate-l_binary64_4111` `add-exp-log_binary64_4208` `associate-r_binary64_4110`
4×	`add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`
2×	`pow-prod-up_binary64_4240` `pow-prod-down_binary64_4241` `pow-sqr_binary64_4143`
1×	`pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `pow2_binary64_4251` `*-commutative_binary64_4101`

Counts

4 → 73

Calls

8 calls:

6.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
1.0ms	(cbrt.f64 d1)
1.0ms	(cbrt.f64 d1)
1.0ms	(cbrt.f64 d1)
0.0ms	(*.f64 (+.f64 d2 (+.f64 d3 37)) (cbrt.f64 d1))

series454.0ms (10%)

Counts

4 → 12

Calls

4 calls:

123.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
115.0ms	(cbrt.f64 d1)
111.0ms	(cbrt.f64 d1)
104.0ms	(cbrt.f64 d1)

Compiler

Compiled 394 to 334 computations (15.2% saved)

simplify92.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune82.0ms (1.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Error

Counts

88 → 3

Compiler

Compiled 1403 to 641 computations (54.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	148
1	59	148

regimes123.0ms (2.7%)

Accuracy

Total 0.0b remaining (75.7%)

Threshold costs 0.0b (75.7%)

Compiler

Compiled 487 to 527 computations (-8.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample2.1s (45.6%)

Algorithm

1×

intervals

Results

419.0ms	7968×	body	128	valid
33.0ms	649×	body	128	invalid
2.0ms	14×	body	512	valid
1.0ms	9×	body	1024	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 333 to 343 computations (-3% saved)

Pareto

0.9562756645039922

Details

analyze435.0ms (9.6%)

sample33.0ms (0.7%)

simplify138.0ms (3%)

prune8.0ms (0.2%)

localize11.0ms (0.2%)

rewrite20.0ms (0.4%)

series164.0ms (3.6%)

simplify111.0ms (2.4%)

prune60.0ms (1.3%)

localize18.0ms (0.4%)

rewrite40.0ms (0.9%)

series459.0ms (10.1%)

simplify86.0ms (1.9%)

prune107.0ms (2.4%)

localize9.0ms (0.2%)

rewrite17.0ms (0.4%)

series454.0ms (10%)

simplify92.0ms (2%)

prune82.0ms (1.8%)

simplify6.0ms (0.1%)

regimes123.0ms (2.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.1s (45.6%)

Profiling