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 (1.3%)

Algorithm

1×

intervals

Results

46.0ms	125×	body	1024	valid
14.0ms	64×	body	512	valid
8.0ms	14×	body	2048	valid
5.0ms	36×	body	256	valid
1.0ms	17×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify341.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (238.0ms)

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: 58.9b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.5b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite25.0ms (0.4%)

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:

9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series42.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
12.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5756	1898

prune122.0ms (1.9%)

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 1732 to 1380 computations (20.3% saved)

localize11.0ms (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)

rewrite23.0ms (0.4%)

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

series147.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

88.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
32.0ms	(*.f64 2/5 (pow.f64 x 5))
26.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5097	898

prune90.0ms (1.4%)

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 1674 to 1217 computations (27.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x)))
2.1b	(+.f64 (neg.f64 (log.f64 (+.f64 1 (sqrt.f64 x)))) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x)))))
5.3b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x))))
5.3b	(log.f64 (+.f64 1 (sqrt.f64 x)))

rewrite70.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

183×	`*-un-lft-identity_binary64_4170`
142×	`add-sqr-sqrt_binary64_4192`
108×	`times-frac_binary64_4176`
94×	`log-prod_binary64_4256`
52×	`difference-of-squares_binary64_4139`
49×	`add-cube-cbrt_binary64_4205`
42×	`associate-+r+_binary64_4102`
41×	`sqrt-prod_binary64_4186`
38×	`distribute-lft-out_binary64_4121`
26×	`distribute-lft-out--_binary64_4122`
11×	`pow1_binary64_4231`
10×	`add-exp-log_binary64_4208`
9×	`associate-/r*_binary64_4114`
7×	`log-pow_binary64_4259`
6×	`add-cbrt-cube_binary64_4206` `associate-/r/_binary64_4116`
5×	`distribute-neg-in_binary64_4131` `add-log-exp_binary64_4209` `associate-+l+_binary64_4103`
4×	`associate-/l*_binary64_4115` `distribute-rgt-neg-in_binary64_4128` `log-div_binary64_4257`
3×	`rem-log-exp_binary64_4211` `flip3--_binary64_4174` `flip-+_binary64_4144` `div-inv_binary64_4167` `flip3-+_binary64_4173` `flip--_binary64_4145`
2×	`sum-log_binary64_4261` `associate-/l/_binary64_4117` `div-exp_binary64_4221`
1×	`neg-log_binary64_4263` `frac-2neg_binary64_4181` `associate-+l-_binary64_4105` `associate-+r-_binary64_4104` `+-commutative_binary64_4100` `cbrt-undiv_binary64_4204` `clear-num_binary64_4169` `neg-sub0_binary64_4165`

Counts

4 → 201

Calls

4 calls:

22.0ms	(+.f64 (neg.f64 (log.f64 (+.f64 1 (sqrt.f64 x)))) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x)))))
10.0ms	(/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x)))
10.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x))))
4.0ms	(log.f64 (+.f64 1 (sqrt.f64 x)))

series540.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

278.0ms	(+.f64 (neg.f64 (log.f64 (+.f64 1 (sqrt.f64 x)))) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x)))))
189.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x))))
39.0ms	(/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x)))
33.0ms	(log.f64 (+.f64 1 (sqrt.f64 x)))

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4989	7189
1	4989	7189

prune428.0ms (6.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	213	2	215

Merged error: 0b

Counts

215 → 2

Compiler

Compiled 6933 to 4915 computations (29.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(exp.f64 (log.f64 (log.f64 (+.f64 1 (sqrt.f64 x)))))
4.3b	(+.f64 (neg.f64 (exp.f64 (log.f64 (log.f64 (+.f64 1 (sqrt.f64 x)))))) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x)))))
5.3b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x))))
5.3b	(log.f64 (+.f64 1 (sqrt.f64 x)))

rewrite59.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`*-un-lft-identity_binary64_4170`
93×	`log-prod_binary64_4256`
92×	`add-sqr-sqrt_binary64_4192`
72×	`times-frac_binary64_4176`
42×	`associate-+r+_binary64_4102`
35×	`add-cube-cbrt_binary64_4205`
32×	`difference-of-squares_binary64_4139`
25×	`sqrt-prod_binary64_4186`
24×	`distribute-lft-out_binary64_4121`
16×	`distribute-lft-out--_binary64_4122`
10×	`pow1_binary64_4231`
8×	`add-exp-log_binary64_4208`
6×	`log-pow_binary64_4259` `add-log-exp_binary64_4209`
4×	`exp-prod_binary64_4222` `add-cbrt-cube_binary64_4206` `associate-/r/_binary64_4116` `log-div_binary64_4257` `exp-sum_binary64_4216`
3×	`rem-log-exp_binary64_4211`
2×	`flip3--_binary64_4174` `flip-+_binary64_4144` `div-inv_binary64_4167` `flip3-+_binary64_4173` `distribute-rgt-neg-in_binary64_4128` `sum-log_binary64_4261` `flip--_binary64_4145`
1×	`neg-log_binary64_4263` `associate-+l-_binary64_4105` `associate-+r-_binary64_4104` `+-commutative_binary64_4100` `rem-exp-log_binary64_4210` `neg-sub0_binary64_4165` `div-exp_binary64_4221`

Counts

4 → 145

Calls

4 calls:

24.0ms	(+.f64 (neg.f64 (exp.f64 (log.f64 (log.f64 (+.f64 1 (sqrt.f64 x)))))) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x)))))
10.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x))))
4.0ms	(log.f64 (+.f64 1 (sqrt.f64 x)))
2.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 1 (sqrt.f64 x)))))

series611.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

324.0ms	(+.f64 (neg.f64 (exp.f64 (log.f64 (log.f64 (+.f64 1 (sqrt.f64 x)))))) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x)))))
201.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (sqrt.f64 x))))
59.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 1 (sqrt.f64 x)))))
27.0ms	(log.f64 (+.f64 1 (sqrt.f64 x)))

simplify91.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4983	6074
1	4983	6074

prune328.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	157	2	159

Merged error: 0b

Counts

159 → 2

Compiler

Compiled 5726 to 4096 computations (28.5% saved)

regimes140.0ms (2.2%)

Compiler: Compiled 1533 to 1326 computations (13.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample2.9s (45.5%)

Algorithm

1×

intervals

Results

1.5s	3997×	body	1024	valid
449.0ms	2014×	body	512	valid
228.0ms	404×	body	2048	valid
135.0ms	1024×	body	256	valid
34.0ms	561×	body	128	valid

Compiler

Compiled 360 to 312 computations (13.3% saved)

Details

analyze5.0ms (0.1%)

sample80.0ms (1.3%)

simplify341.0ms (5.4%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite25.0ms (0.4%)

series42.0ms (0.7%)

simplify80.0ms (1.3%)

prune122.0ms (1.9%)

localize11.0ms (0.2%)

rewrite23.0ms (0.4%)

series147.0ms (2.3%)

simplify68.0ms (1.1%)

prune90.0ms (1.4%)

localize14.0ms (0.2%)

rewrite70.0ms (1.1%)

series540.0ms (8.5%)

simplify99.0ms (1.6%)

prune428.0ms (6.8%)

localize14.0ms (0.2%)

rewrite59.0ms (0.9%)

series611.0ms (9.7%)

simplify91.0ms (1.4%)

prune328.0ms (5.2%)

regimes140.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.9s (45.5%)

Profiling