Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample31.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	256×	pre	128	true
10.0ms	256×	body	128	valid

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify231.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	498	10
1	498	10

prune2.0ms (0%)

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: 8.2b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
7.4b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_4192`
28×	`*-un-lft-identity_binary64_4170`
19×	`times-frac_binary64_4176`
14×	`add-cube-cbrt_binary64_4205`
10×	`difference-of-squares_binary64_4139`
6×	`associate-/r*_binary64_4114`
5×	`distribute-lft-out--_binary64_4122`
4×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209`
3×	`associate-/l*_binary64_4115` `cancel-sign-sub-inv_binary64_4136`
2×	`pow1_binary64_4231` `flip3--_binary64_4174` `associate-/r/_binary64_4116` `flip--_binary64_4145`
1×	`diff-log_binary64_4262` `frac-2neg_binary64_4181` `div-inv_binary64_4167` `cbrt-undiv_binary64_4204` `clear-num_binary64_4169` `sub-neg_binary64_4163` `div-exp_binary64_4221`

Counts

2 → 58

Calls

2 calls:

13.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
12.0ms	(/.f64 x0 (-.f64 1 x1))

series111.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
48.0ms	(/.f64 x0 (-.f64 1 x1))

simplify109.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5131	940

prune85.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Merged error: 6.6b

Counts

65 → 2

Compiler

Compiled 896 to 538 computations (40% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (-.f64 1 x1) (-.f64 1 x1))
0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b	(/.f64 x0 (-.f64 1 x1))
5.9b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

rewrite90.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`*-un-lft-identity_binary64_4170`
52×	`add-sqr-sqrt_binary64_4192`
22×	`add-cube-cbrt_binary64_4205`
19×	`times-frac_binary64_4176`
18×	`difference-of-squares_binary64_4139`
11×	`pow1_binary64_4231` `distribute-lft-out--_binary64_4122`
9×	`cancel-sign-sub-inv_binary64_4136`
8×	`swap-sqr_binary64_4137` `flip3--_binary64_4174` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209` `flip--_binary64_4145`
6×	`associate-l_binary64_4111` `associate-r_binary64_4110` `associate-/r*_binary64_4114`
4×	`distribute-lft-in_binary64_4119` `frac-times_binary64_4180` `distribute-rgt-in_binary64_4120`
3×	`associate-/l*_binary64_4115` `sub-neg_binary64_4163`
2×	`associate-r/_binary64_4112` `associate-l/_binary64_4113` `associate-/r/_binary64_4116`
1×	`pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `diff-log_binary64_4262` `flip-+_binary64_4144` `frac-2neg_binary64_4181` `pow2_binary64_4251` `div-inv_binary64_4167` `+-commutative_binary64_4100` `flip3-+_binary64_4173` `pow-prod-up_binary64_4240` `*-commutative_binary64_4101` `cbrt-undiv_binary64_4204` `sum-log_binary64_4261` `pow-prod-down_binary64_4241` `clear-num_binary64_4169` `distribute-lft-out_binary64_4121` `unswap-sqr_binary64_4138` `div-exp_binary64_4221` `pow-sqr_binary64_4143`

Counts

4 → 122

Calls

4 calls:

29.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
21.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
17.0ms	(*.f64 (-.f64 1 x1) (-.f64 1 x1))
12.0ms	(/.f64 x0 (-.f64 1 x1))

series174.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

82.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
43.0ms	(/.f64 x0 (-.f64 1 x1))
40.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
9.0ms	(*.f64 (-.f64 1 x1) (-.f64 1 x1))

simplify86.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5011	1914

prune270.0ms (6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	134	2	136

Merged error: 5.2b

Counts

136 → 2

Compiler

Compiled 3610 to 2261 computations (37.4% saved)

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 x1 (+.f64 x1 -2))
0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b	(/.f64 x0 (-.f64 1 x1))
5.9b	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)

rewrite87.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_4192`
36×	`*-un-lft-identity_binary64_4170`
19×	`times-frac_binary64_4176`
18×	`add-cube-cbrt_binary64_4205`
10×	`difference-of-squares_binary64_4139`
8×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209`
6×	`pow1_binary64_4231` `associate-/r*_binary64_4114`
5×	`distribute-lft-out--_binary64_4122`
4×	`associate-r_binary64_4110`
3×	`associate-l_binary64_4111` `associate-/l*_binary64_4115` `cancel-sign-sub-inv_binary64_4136`
2×	`associate-*r/_binary64_4112` `flip3--_binary64_4174` `flip-+_binary64_4144` `associate-/r/_binary64_4116` `flip3-+_binary64_4173` `flip--_binary64_4145` `distribute-lft-out_binary64_4121`
1×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `diff-log_binary64_4262` `frac-2neg_binary64_4181` `div-inv_binary64_4167` `+-commutative_binary64_4100` `*-commutative_binary64_4101` `cbrt-undiv_binary64_4204` `sum-log_binary64_4261` `pow-prod-down_binary64_4241` `clear-num_binary64_4169` `sub-neg_binary64_4163` `unswap-sqr_binary64_4138` `div-exp_binary64_4221`

Counts

4 → 93

Calls

4 calls:

21.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
20.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)
13.0ms	(*.f64 x1 (+.f64 x1 -2))
11.0ms	(/.f64 x0 (-.f64 1 x1))

series217.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)
47.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
30.0ms	(/.f64 x0 (-.f64 1 x1))
30.0ms	(*.f64 x1 (+.f64 x1 -2))

simplify129.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4931	1557
1	4931	1557

prune196.0ms (4.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Merged error: 4.1b

Counts

107 → 2

Compiler

Compiled 2920 to 1812 computations (37.9% saved)

localize32.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b	(/.f64 x0 (-.f64 1 x1))
4.7b	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)))
5.9b	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)

rewrite82.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_4192`
37×	`*-un-lft-identity_binary64_4170`
20×	`times-frac_binary64_4176`
19×	`add-cube-cbrt_binary64_4205`
12×	`difference-of-squares_binary64_4139`
8×	`add-log-exp_binary64_4209`
7×	`log-pow_binary64_4259` `log-prod_binary64_4256`
6×	`exp-prod_binary64_4222` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `distribute-lft-out--_binary64_4122` `cancel-sign-sub-inv_binary64_4136` `associate-/r*_binary64_4114`
5×	`pow1_binary64_4231`
4×	`exp-sum_binary64_4216`
3×	`associate-/l*_binary64_4115`
2×	`flip3--_binary64_4174` `associate-/r/_binary64_4116` `flip--_binary64_4145` `sub-neg_binary64_4163`
1×	`rem-log-exp_binary64_4211` `diff-log_binary64_4262` `flip-+_binary64_4144` `frac-2neg_binary64_4181` `div-inv_binary64_4167` `+-commutative_binary64_4100` `flip3-+_binary64_4173` `cbrt-undiv_binary64_4204` `sum-log_binary64_4261` `log-div_binary64_4257` `clear-num_binary64_4169` `distribute-lft-out_binary64_4121` `exp-diff_binary64_4218` `div-exp_binary64_4221`

Counts

4 → 93

Calls

4 calls:

22.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
18.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)))
17.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)
10.0ms	(/.f64 x0 (-.f64 1 x1))

series393.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

210.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)))
119.0ms	(-.f64 (/.f64 x0 (+.f64 1 (*.f64 x1 (+.f64 x1 -2)))) x0)
32.0ms	(/.f64 x0 (-.f64 1 x1))
31.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))

simplify113.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5624	1841

prune215.0ms (4.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Merged error: 3.1b

Counts

107 → 2

Compiler

Compiled 3107 to 1988 computations (36% saved)

regimes228.0ms (5%)

Compiler: Compiled 2252 to 1662 computations (26.2% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	58	121
1	58	121

end0.0ms (0%)

sample1.6s (34.3%)

Algorithm

1×

intervals

Results

343.0ms	8000×	pre	128	true
258.0ms	8000×	body	128	valid

Compiler

Compiled 596 to 438 computations (26.5% saved)

Details

analyze5.0ms (0.1%)

sample31.0ms (0.7%)

simplify231.0ms (5.1%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite33.0ms (0.7%)

series111.0ms (2.5%)

simplify109.0ms (2.4%)

prune85.0ms (1.9%)

localize10.0ms (0.2%)

rewrite90.0ms (2%)

series174.0ms (3.8%)

simplify86.0ms (1.9%)

prune270.0ms (6%)

localize26.0ms (0.6%)

rewrite87.0ms (1.9%)

series217.0ms (4.8%)

simplify129.0ms (2.9%)

prune196.0ms (4.3%)

localize32.0ms (0.7%)

rewrite82.0ms (1.8%)

series393.0ms (8.7%)

simplify113.0ms (2.5%)

prune215.0ms (4.8%)

regimes228.0ms (5%)

bsearch2.0ms (0.1%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.6s (34.3%)

Profiling