Details

analyze8.0ms (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)

sample140.0ms (1.8%)

Algorithm

1×

intervals

Results

89.0ms	141×	body	1024	valid
18.0ms	49×	body	512	valid
15.0ms	16×	body	2048	valid
7.0ms	33×	body	256	valid
2.0ms	17×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify304.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	450	15
1	450	15

prune6.0ms (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: 58.2b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.3b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite55.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_751`
52×	`add-sqr-sqrt_binary64_772`
48×	`times-frac_binary64_757`
30×	`log-prod_binary64_834`
25×	`add-cube-cbrt_binary64_783`
18×	`difference-of-squares_binary64_720`
13×	`distribute-lft-out_binary64_704`
9×	`distribute-lft-out--_binary64_705`
7×	`add-exp-log_binary64_786`
6×	`associate-/r*_binary64_697`
4×	`add-cbrt-cube_binary64_784` `associate-/r/_binary64_699` `associate-/l*_binary64_698`
3×	`pow1_binary64_809`
2×	`rem-log-exp_binary64_789` `associate-/l/_binary64_700` `add-log-exp_binary64_787` `flip--_binary64_726` `div-inv_binary64_748` `flip3--_binary64_755` `div-exp_binary64_799`
1×	`log-div_binary64_835` `flip3-+_binary64_754` `log-pow_binary64_837` `cbrt-undiv_binary64_782` `frac-2neg_binary64_762` `clear-num_binary64_750` `flip-+_binary64_725`

Counts

2 → 91

Calls

2 calls:

17.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
16.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series140.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

99.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
40.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify154.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5286	1898

prune223.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	3	98

Merged error: 0.0b

Counts

98 → 3

Compiler

Compiled 1733 to 1382 computations (20.3% saved)

localize21.0ms (0.3%)

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)

rewrite52.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_772`
15×	`associate-l_binary64_694`
13×	`add-exp-log_binary64_786`
10×	`add-cube-cbrt_binary64_783` `-un-lft-identity_binary64_751` `associate-r*_binary64_693`
8×	`unpow-prod-down_binary64_827`
7×	`unswap-sqr_binary64_719` `add-cbrt-cube_binary64_784`
6×	`prod-exp_binary64_797`
5×	`add-log-exp_binary64_787`
4×	`sqr-pow_binary64_723` `cube-prod_binary64_776`
3×	`pow1_binary64_809`
2×	`pow-to-exp_binary64_817` `pow-exp_binary64_816` `*-commutative_binary64_684` `cbrt-unprod_binary64_781`
1×	`cube-mult_binary64_778` `+-commutative_binary64_683` `flip3-+_binary64_754` `sum-log_binary64_839` `unpow3_binary64_814` `flip-+_binary64_725`

Counts

3 → 67

Calls

3 calls:

13.0ms	(*.f64 (pow.f64 x 3) 2/3)
12.0ms	(*.f64 2/5 (pow.f64 x 5))
12.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))

series602.0ms (7.6%)

Counts

3 → 9

Calls

3 calls:

374.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
123.0ms	(*.f64 2/5 (pow.f64 x 5))
105.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4863	889
1	4863	889

prune170.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0.0b

Counts

79 → 3

Compiler

Compiled 1669 to 1213 computations (27.3% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (-.f64 1 x))
0.0b	(cbrt.f64 (-.f64 1 x))
6.3b	(log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
6.4b	(log.f64 (cbrt.f64 (-.f64 1 x)))

rewrite71.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`*-un-lft-identity_binary64_751`
51×	`log-prod_binary64_834`
47×	`add-sqr-sqrt_binary64_772`
42×	`cbrt-prod_binary64_779`
36×	`times-frac_binary64_757`
26×	`add-cube-cbrt_binary64_783`
14×	`difference-of-squares_binary64_720`
9×	`distribute-lft-out_binary64_704`
8×	`add-exp-log_binary64_786` `cbrt-div_binary64_780`
7×	`distribute-lft-out--_binary64_705`
6×	`pow1_binary64_809`
4×	`add-log-exp_binary64_787` `flip--_binary64_726` `add-cbrt-cube_binary64_784` `flip3--_binary64_755`
3×	`pow1/3_binary64_830` `log-div_binary64_835` `rem-log-exp_binary64_789` `log-pow_binary64_837`
2×	`associate-/r/_binary64_699`
1×	`div-inv_binary64_748` `div-exp_binary64_799`

Counts

4 → 106

Calls

4 calls:

21.0ms	(log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
10.0ms	(log.f64 (cbrt.f64 (-.f64 1 x)))
8.0ms	(cbrt.f64 (-.f64 1 x))
8.0ms	(cbrt.f64 (-.f64 1 x))

series444.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

153.0ms	(log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
109.0ms	(log.f64 (cbrt.f64 (-.f64 1 x)))
94.0ms	(cbrt.f64 (-.f64 1 x))
87.0ms	(cbrt.f64 (-.f64 1 x))

simplify143.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4865	2397
1	4865	2397

prune339.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	118	3	121

Merged error: 0.0b

Counts

121 → 3

Compiler

Compiled 3151 to 2621 computations (16.8% saved)

regimes58.0ms (0.7%)

Compiler: Compiled 170 to 148 computations (12.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample4.8s (61.1%)

Algorithm

1×

intervals

Results

2.9s	4048×	body	1024	valid
805.0ms	1969×	body	512	valid
403.0ms	380×	body	2048	valid
235.0ms	1008×	body	256	valid
65.0ms	595×	body	128	valid

Compiler

Compiled 76 to 67 computations (11.8% saved)

Details

analyze8.0ms (0.1%)

sample140.0ms (1.8%)

simplify304.0ms (3.9%)

prune6.0ms (0.1%)

localize13.0ms (0.2%)

rewrite55.0ms (0.7%)

series140.0ms (1.8%)

simplify154.0ms (1.9%)

prune223.0ms (2.8%)

localize21.0ms (0.3%)

rewrite52.0ms (0.7%)

series602.0ms (7.6%)

simplify97.0ms (1.2%)

prune170.0ms (2.1%)

localize27.0ms (0.3%)

rewrite71.0ms (0.9%)

series444.0ms (5.6%)

simplify143.0ms (1.8%)

prune339.0ms (4.3%)

regimes58.0ms (0.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.8s (61.1%)

Profiling