Details

analyze671.0ms (11.4%)

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
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	91×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify173.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	1064	13
1	1064	13

prune8.0ms (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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (-.f64 d2 d3) d1)
0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_4170`
10×	`add-sqr-sqrt_binary64_4192`
7×	`add-log-exp_binary64_4209`
6×	`associate-r_binary64_4110` `distribute-lft-out--_binary64_4122` `cancel-sign-sub-inv_binary64_4136` `add-cube-cbrt_binary64_4205`
4×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `associate--l+_binary64_4107`
3×	`associate-l_binary64_4111` `diff-log_binary64_4262` `distribute-lft-out_binary64_4121`
2×	`associate-*r/_binary64_4112` `sub-neg_binary64_4163`
1×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `flip3--_binary64_4174` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `flip-+_binary64_4144` `difference-of-squares_binary64_4139` `flip3-+_binary64_4173` `*-commutative_binary64_4101` `pow-prod-down_binary64_4241` `flip--_binary64_4145` `associate--l-_binary64_4108` `unswap-sqr_binary64_4138`

Counts

2 → 48

Calls

2 calls:

11.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
8.0ms	(-.f64 (-.f64 d2 d3) d1)

series244.0ms (4.1%)

Counts

2 → 42

Calls

2 calls:

170.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
73.0ms	(-.f64 (-.f64 d2 d3) d1)

Compiler

Compiled 643 to 577 computations (10.3% saved)

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4928	915
1	4928	915

prune56.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	89	3	92

Error

Counts

92 → 3

Compiler

Compiled 1020 to 184 computations (82% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_4209`
2×	`pow1_binary64_4231` `add-sqr-sqrt_binary64_4192` `add-exp-log_binary64_4208` `*-un-lft-identity_binary64_4170` `diff-log_binary64_4262` `add-cbrt-cube_binary64_4206` `cancel-sign-sub-inv_binary64_4136` `sum-log_binary64_4261` `associate-+l+_binary64_4103` `add-cube-cbrt_binary64_4205` `sub-neg_binary64_4163`
1×	`flip3--_binary64_4174` `flip-+_binary64_4144` `associate-+l-_binary64_4105` `distribute-lft-out--_binary64_4122` `+-commutative_binary64_4100` `flip3-+_binary64_4173` `flip--_binary64_4145`

Counts

2 → 28

Calls

2 calls:

6.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

series300.0ms (5.1%)

Counts

2 → 36

Calls

2 calls:

195.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
104.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 753 to 585 computations (22.3% saved)

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5234	649

prune36.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	64	3	67

Error

Counts

67 → 3

Compiler

Compiled 934 to 151 computations (83.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1))
5.0b	(-.f64 (.f64 d4 d4) (.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1)))
11.6b	(.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1))))
26.9b	(/.f64 (.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1)))) (-.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite70.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`*-un-lft-identity_binary64_4170`
36×	`add-sqr-sqrt_binary64_4192` `distribute-lft-out--_binary64_4122`
27×	`cancel-sign-sub-inv_binary64_4136`
20×	`add-cube-cbrt_binary64_4205`
18×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120`
16×	`associate--r+_binary64_4106` `associate--l+_binary64_4107`
13×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
12×	`swap-sqr_binary64_4137`
11×	`sub-neg_binary64_4163`
10×	`flip3--_binary64_4174` `associate-r_binary64_4110` `flip--_binary64_4145`
9×	`associate-l_binary64_4111`
8×	`difference-of-squares_binary64_4139`
7×	`times-frac_binary64_4176` `associate-/r*_binary64_4114`
6×	`associate-*r/_binary64_4112` `add-log-exp_binary64_4209`
4×	`frac-times_binary64_4180`
3×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203`
2×	`associate-l/_binary64_4113` `associate-/r/_binary64_4116` `-commutative_binary64_4101` `cbrt-undiv_binary64_4204` `pow-prod-down_binary64_4241` `associate-/l/_binary64_4117` `unswap-sqr_binary64_4138` `div-exp_binary64_4221`
1×	`pow-plus_binary64_4233` `diff-log_binary64_4262` `frac-2neg_binary64_4181` `associate-/l*_binary64_4115` `pow2_binary64_4251` `div-inv_binary64_4167` `pow-prod-up_binary64_4240` `clear-num_binary64_4169` `pow-sqr_binary64_4143`

Counts

4 → 151

Calls

4 calls:

18.0ms	(*.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1))
17.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1)))) (-.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
9.0ms	(.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1))))
9.0ms	(-.f64 (.f64 d4 d4) (.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1)))

series2.6s (44.7%)

Counts

4 → 118

Calls

4 calls:

908.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1)))) (-.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
859.0ms	(.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1))))
655.0ms	(-.f64 (.f64 d4 d4) (.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1)))
206.0ms	(*.f64 (-.f64 (-.f64 d2 d3) d1) (-.f64 (-.f64 d2 d3) d1))

Compiler

Compiled 7097 to 4875 computations (31.3% saved)

simplify114.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

269 → 269

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4989	8185
1	4989	8185

prune234.0ms (4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	269	0	269
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	269	3	272

Error

Counts

272 → 3

Compiler

Compiled 8814 to 1654 computations (81.2% saved)

regimes149.0ms (2.5%)

Accuracy

Total 0.0b remaining (75.6%)

Threshold costs 0.0b (75.6%)

Compiler

Compiled 1038 to 894 computations (13.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms (0%)

sample972.0ms (16.5%)

Algorithm

1×

intervals

Results

321.0ms	8000×	body	128	valid
104.0ms	2416×	body	128	invalid

Compiler

Compiled 234 to 200 computations (14.5% saved)

Details

analyze671.0ms (11.4%)

sample26.0ms (0.4%)

simplify173.0ms (2.9%)

prune8.0ms (0.1%)

localize6.0ms (0.1%)

rewrite22.0ms (0.4%)

series244.0ms (4.1%)

simplify73.0ms (1.2%)

prune56.0ms (1%)

localize10.0ms (0.2%)

rewrite12.0ms (0.2%)

series300.0ms (5.1%)

simplify64.0ms (1.1%)

prune36.0ms (0.6%)

localize15.0ms (0.2%)

rewrite70.0ms (1.2%)

series2.6s (44.7%)

simplify114.0ms (1.9%)

prune234.0ms (4%)

regimes149.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample972.0ms (16.5%)

Profiling