Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 5 to 5 computations (0% saved)

sample53.0ms (1.3%)

Algorithm

1×

intervals

Results

33.0ms	93×	body	1024	valid
7.0ms	44×	body	512	valid
3.0ms	94×	body	128	valid
2.0ms	5×	body	2048	valid
2.0ms	20×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify169.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

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: 39.6b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.8b	(log.f64 (+.f64 1 x))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_767` `log-prod_binary64_853`
2×	`log-div_binary64_854` `add-exp-log_binary64_805` `pow1_binary64_828` `add-sqr-sqrt_binary64_789` `add-cube-cbrt_binary64_802`
1×	`distribute-lft-out_binary64_718` `add-log-exp_binary64_806` `flip-+_binary64_741` `log-pow_binary64_856` `rem-log-exp_binary64_808` `flip3-+_binary64_770` `add-cbrt-cube_binary64_803`

Counts

1 → 15

Calls

1 calls:

4.0ms

(log.f64 (+.f64 1 x))

series26.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

26.0ms

(log.f64 (+.f64 1 x))

simplify91.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4863	210
1	4863	210

prune34.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0.1b

Counts

19 → 2

Compiler

Compiled 382 to 312 computations (18.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.0b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.4b	(*.f64 x 1/3)

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_789`
9×	`associate-l_binary64_708` `associate-r_binary64_707` `add-exp-log_binary64_805` `pow1_binary64_828` `*-un-lft-identity_binary64_767` `add-cbrt-cube_binary64_803` `add-cube-cbrt_binary64_802`
4×	`associate-*r/_binary64_709`
3×	`unswap-sqr_binary64_735` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `*-commutative_binary64_698` `add-log-exp_binary64_806` `pow-prod-down_binary64_838`
2×	`flip-+_binary64_741` `distribute-rgt-in_binary64_717` `distribute-lft-in_binary64_716` `flip3-+_binary64_770`

Counts

3 → 62

Calls

3 calls:

6.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
6.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
4.0ms	(*.f64 x 1/3)

series124.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

70.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
33.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
21.0ms	(*.f64 x 1/3)

simplify60.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5078	905

prune74.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	70	3	73

Merged error: 0.1b

Counts

73 → 3

Compiler

Compiled 1279 to 962 computations (24.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 x 1/3)
13.2b	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
13.2b	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
13.2b	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_789`
6×	`add-exp-log_binary64_805` `pow1_binary64_828` `-un-lft-identity_binary64_767` `cbrt-div_binary64_799` `associate-r/_binary64_709` `add-cbrt-cube_binary64_803` `add-cube-cbrt_binary64_802`
4×	`add-log-exp_binary64_806`
3×	`associate-l_binary64_708` `associate-r_binary64_707` `pow1/3_binary64_849` `flip-+_binary64_741` `cbrt-prod_binary64_798` `flip3-+_binary64_770`
1×	`unswap-sqr_binary64_735` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `*-commutative_binary64_698` `pow-prod-down_binary64_838`

Counts

4 → 51

Calls

4 calls:

5.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
4.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
4.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
4.0ms	(*.f64 x 1/3)

series270.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
84.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
80.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
21.0ms	(*.f64 x 1/3)

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4971	1215
1	4971	1215

prune155.0ms (3.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	63	3	66

Merged error: 0.1b

Counts

66 → 3

Compiler

Compiled 3240 to 2522 computations (22.2% saved)

localize27.0ms (0.7%)

Local error

Found 4 expressions with local error:

13.2b	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
13.2b	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
17.6b	(cbrt.f64 (pow.f64 x 7))
32.7b	(cbrt.f64 (pow.f64 x 4))

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cbrt-prod_binary64_798`
8×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
6×	`unpow-prod-down_binary64_846`
4×	`pow1/3_binary64_849` `add-exp-log_binary64_805` `pow1_binary64_828` `add-log-exp_binary64_806` `cbrt-div_binary64_799` `associate-*r/_binary64_709` `add-cbrt-cube_binary64_803`
2×	`sqr-pow_binary64_739` `flip-+_binary64_741` `flip3-+_binary64_770`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
4.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
2.0ms	(cbrt.f64 (pow.f64 x 4))
2.0ms	(cbrt.f64 (pow.f64 x 7))

series544.0ms (13.7%)

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt.f64 (pow.f64 x 7))
168.0ms	(cbrt.f64 (pow.f64 x 4))
81.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))
80.0ms	(cbrt.f64 (.f64 x (+.f64 1 (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))))

simplify81.0ms (2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4864	1085
1	4864	1085

prune185.0ms (4.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	64	3	67

Merged error: 0.1b

Counts

67 → 3

Compiler

Compiled 3570 to 2774 computations (22.3% saved)

regimes43.0ms (1.1%)

Compiler: Compiled 199 to 166 computations (16.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	31
1	23	31

end0.0ms (0%)

sample1.9s (47%)

Algorithm

1×

intervals

Results

1.0s	2650×	body	1024	valid
247.0ms	1311×	body	512	valid
132.0ms	249×	body	2048	valid
107.0ms	3128×	body	128	valid
62.0ms	662×	body	256	valid

Compiler

Compiled 106 to 88 computations (17% saved)

Details

analyze3.0ms (0.1%)

sample53.0ms (1.3%)

simplify169.0ms (4.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite5.0ms (0.1%)

series26.0ms (0.7%)

simplify91.0ms (2.3%)

prune34.0ms (0.9%)

localize9.0ms (0.2%)

rewrite22.0ms (0.5%)

series124.0ms (3.1%)

simplify60.0ms (1.5%)

prune74.0ms (1.9%)

localize12.0ms (0.3%)

rewrite24.0ms (0.6%)

series270.0ms (6.8%)

simplify64.0ms (1.6%)

prune155.0ms (3.9%)

localize27.0ms (0.7%)

rewrite21.0ms (0.5%)

series544.0ms (13.7%)

simplify81.0ms (2%)

prune185.0ms (4.7%)

regimes43.0ms (1.1%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (47%)

Profiling