Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample80.0ms (1.9%)

Algorithm

1×

intervals

Results

49.0ms	129×	body	1024	valid
14.0ms	63×	body	512	valid
6.0ms	12×	body	2048	valid
4.0ms	32×	body	256	valid
1.0ms	20×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify343.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (241.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 59.4b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
7.5b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_4170`
52×	`add-sqr-sqrt_binary64_4192`
48×	`times-frac_binary64_4176`
30×	`log-prod_binary64_4256`
25×	`add-cube-cbrt_binary64_4205`
18×	`difference-of-squares_binary64_4139`
13×	`distribute-lft-out_binary64_4121`
9×	`distribute-lft-out--_binary64_4122`
7×	`add-exp-log_binary64_4208`
6×	`associate-/r*_binary64_4114`
4×	`associate-/l*_binary64_4115` `add-cbrt-cube_binary64_4206` `associate-/r/_binary64_4116`
3×	`pow1_binary64_4231`
2×	`rem-log-exp_binary64_4211` `flip3--_binary64_4174` `div-inv_binary64_4167` `associate-/l/_binary64_4117` `add-log-exp_binary64_4209` `flip--_binary64_4145` `div-exp_binary64_4221`
1×	`flip-+_binary64_4144` `frac-2neg_binary64_4181` `log-pow_binary64_4259` `flip3-+_binary64_4173` `cbrt-undiv_binary64_4204` `log-div_binary64_4257` `clear-num_binary64_4169`

Counts

2 → 91

Calls

2 calls:

8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series41.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
12.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5756	1898

prune115.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	2	98

Merged error: 0.0b

Counts

98 → 2

Compiler

Compiled 1726 to 1376 computations (20.3% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_4192`
15×	`associate-l_binary64_4111`
13×	`add-exp-log_binary64_4208`
10×	`-un-lft-identity_binary64_4170` `associate-r*_binary64_4110` `add-cube-cbrt_binary64_4205`
8×	`unpow-prod-down_binary64_4249`
7×	`add-cbrt-cube_binary64_4206` `unswap-sqr_binary64_4138`
6×	`prod-exp_binary64_4219`
5×	`add-log-exp_binary64_4209`
4×	`sqr-pow_binary64_4142` `cube-prod_binary64_4198`
3×	`pow1_binary64_4231`
2×	`pow-to-exp_binary64_4239` `cbrt-unprod_binary64_4203` `pow-exp_binary64_4238` `*-commutative_binary64_4101`
1×	`cube-mult_binary64_4200` `flip-+_binary64_4144` `+-commutative_binary64_4100` `flip3-+_binary64_4173` `unpow3_binary64_4236` `sum-log_binary64_4261`

Counts

3 → 67

Calls

3 calls:

6.0ms	(*.f64 (pow.f64 x 3) 2/3)
6.0ms	(*.f64 2/5 (pow.f64 x 5))
5.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))

series150.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

93.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
30.0ms	(*.f64 2/5 (pow.f64 x 5))
27.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5097	898

prune91.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Merged error: 0.0b

Counts

78 → 2

Compiler

Compiled 1668 to 1213 computations (27.3% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.2b	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
7.5b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`*-un-lft-identity_binary64_4170`
55×	`add-sqr-sqrt_binary64_4192`
48×	`times-frac_binary64_4176`
34×	`log-prod_binary64_4256`
28×	`add-cube-cbrt_binary64_4205`
18×	`difference-of-squares_binary64_4139`
13×	`distribute-lft-out_binary64_4121`
9×	`distribute-lft-out--_binary64_4122`
8×	`add-exp-log_binary64_4208`
6×	`pow1_binary64_4231` `associate-/r*_binary64_4114`
5×	`add-cbrt-cube_binary64_4206`
4×	`exp-prod_binary64_4222` `associate-/l*_binary64_4115` `associate-/r/_binary64_4116` `exp-sum_binary64_4216`
3×	`log-pow_binary64_4259` `add-log-exp_binary64_4209`
2×	`rem-log-exp_binary64_4211` `flip3--_binary64_4174` `div-inv_binary64_4167` `associate-/l/_binary64_4117` `flip--_binary64_4145` `div-exp_binary64_4221`
1×	`flip-+_binary64_4144` `frac-2neg_binary64_4181` `flip3-+_binary64_4173` `cbrt-undiv_binary64_4204` `log-div_binary64_4257` `rem-exp-log_binary64_4210` `clear-num_binary64_4169`

Counts

3 → 107

Calls

3 calls:

8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))

series99.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

59.0ms	(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
28.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
11.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify79.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5016	2184

prune128.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	116	2	118

Merged error: 0.0b

Counts

118 → 2

Compiler

Compiled 2198 to 1798 computations (18.2% saved)

regimes120.0ms (2.8%)

Compiler: Compiled 1245 to 1082 computations (13.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample2.8s (64.9%)

Algorithm

1×

intervals

Results

1.5s	3948×	body	1024	valid
437.0ms	2028×	body	512	valid
219.0ms	403×	body	2048	valid
133.0ms	1051×	body	256	valid
34.0ms	570×	body	128	valid

Compiler

Compiled 297 to 258 computations (13.1% saved)

Details

analyze5.0ms (0.1%)

sample80.0ms (1.9%)

simplify343.0ms (8%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite23.0ms (0.5%)

series41.0ms (0.9%)

simplify76.0ms (1.8%)

prune115.0ms (2.7%)

localize10.0ms (0.2%)

rewrite22.0ms (0.5%)

series150.0ms (3.5%)

simplify65.0ms (1.5%)

prune91.0ms (2.1%)

localize11.0ms (0.3%)

rewrite28.0ms (0.6%)

series99.0ms (2.3%)

simplify79.0ms (1.9%)

prune128.0ms (3%)

regimes120.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.8s (64.9%)

Profiling