Details

analyze1.4s (15.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample143.0ms (1.6%)

Algorithm

1×

intervals

Results

88.0ms	124×	body	1024	valid
20.0ms	63×	body	512	valid
15.0ms	15×	body	2048	valid
5.0ms	256×	pre	128	true
4.0ms	23×	body	256	valid
2.0ms	31×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify162.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

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: 59.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
6.6b	(log.f64 (+.f64 1 x))
6.8b	(log.f64 (-.f64 1 x))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_751`
18×	`add-sqr-sqrt_binary64_772`
16×	`times-frac_binary64_757`
15×	`add-cube-cbrt_binary64_783` `pow1_binary64_809`
12×	`log-pow_binary64_837`
10×	`log-prod_binary64_834`
7×	`add-exp-log_binary64_786`
6×	`log-div_binary64_835`
5×	`add-cbrt-cube_binary64_784`
4×	`associate-/r_binary64_697` `associate-/l_binary64_698`
3×	`add-log-exp_binary64_787`
2×	`rem-log-exp_binary64_789` `div-sub_binary64_756` `flip--_binary64_726` `flip3--_binary64_755` `difference-of-squares_binary64_720`
1×	`distribute-lft-out--_binary64_705` `distribute-lft-out_binary64_704` `flip3-+_binary64_754` `div-inv_binary64_748` `cbrt-undiv_binary64_782` `frac-2neg_binary64_762` `clear-num_binary64_750` `flip-+_binary64_725` `div-exp_binary64_799`

Counts

3 → 70

Calls

3 calls:

7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series179.0ms (2%)

Counts

3 → 9

Calls

3 calls:

130.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
26.0ms	(log.f64 (-.f64 1 x))
23.0ms	(log.f64 (+.f64 1 x))

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5579	1554

prune101.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	2	80

Merged error: 0.0b

Counts

80 → 2

Compiler

Compiled 1346 to 1035 computations (23.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x x) 1/2)

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
3×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `associate-r_binary64_693` `cbrt-unprod_binary64_781` `add-sqr-sqrt_binary64_772`
2×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
1×	`unswap-sqr_binary64_719` `add-log-exp_binary64_787` `-commutative_binary64_684` `associate-l*_binary64_694`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x x) 1/2)

series37.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

37.0ms

(*.f64 (*.f64 x x) 1/2)

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4882	181
1	4882	181

prune16.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	21	3	24

Merged error: 0.0b

Counts

24 → 3

Compiler

Compiled 264 to 177 computations (33% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 x))
5.6b	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`log-prod_binary64_834`
8×	`add-sqr-sqrt_binary64_772`
7×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
6×	`unpow-prod-down_binary64_827` `sqrt-prod_binary64_766`
4×	`add-exp-log_binary64_786` `sqrt-pow1_binary64_768`
3×	`rem-log-exp_binary64_789` `exp-prod_binary64_800` `pow1_binary64_809`
2×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784`
1×	`pow-to-exp_binary64_817` `pow-exp_binary64_816` `sqr-pow_binary64_723` `rem-sqrt-square_binary64_764` `pow1/2_binary64_828` `log-pow_binary64_837`

Counts

2 → 37

Calls

2 calls:

4.0ms	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
2.0ms	(sqrt.f64 (exp.f64 x))

series300.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

280.0ms	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
21.0ms	(sqrt.f64 (exp.f64 x))

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4937	384
1	4937	384

prune33.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	43	3	46

Merged error: 0.0b

Counts

46 → 3

Compiler

Compiled 595 to 351 computations (41% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(sqrt.f64 (exp.f64 x))
5.7b	(log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
5.7b	(log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`log-prod_binary64_834`
20×	`cbrt-prod_binary64_779`
18×	`add-sqr-sqrt_binary64_772`
16×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
12×	`unpow-prod-down_binary64_827` `sqrt-prod_binary64_766`
8×	`pow1_binary64_809` `sqrt-pow1_binary64_768`
6×	`exp-prod_binary64_800` `add-exp-log_binary64_786`
4×	`add-log-exp_binary64_787` `add-cbrt-cube_binary64_784` `log-pow_binary64_837`
2×	`pow1/3_binary64_830` `rem-log-exp_binary64_789` `sqr-pow_binary64_723` `rem-sqrt-square_binary64_764` `pow1/2_binary64_828`

Counts

4 → 78

Calls

4 calls:

5.0ms	(log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
5.0ms	(log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
2.0ms	(sqrt.f64 (exp.f64 x))
2.0ms	(sqrt.f64 (exp.f64 x))

series1.1s (12.7%)

Counts

4 → 12

Calls

4 calls:

560.0ms	(log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
525.0ms	(log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
24.0ms	(sqrt.f64 (exp.f64 x))
20.0ms	(sqrt.f64 (exp.f64 x))

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4923	1086
1	4923	1086

prune99.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	90	3	93

Merged error: 0.0b

Counts

93 → 3

Compiler

Compiled 2288 to 1094 computations (52.2% saved)

regimes65.0ms (0.7%)

Compiler: Compiled 610 to 506 computations (17% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample4.8s (54.5%)

Algorithm

1×

intervals

Results

2.9s	4078×	body	1024	valid
666.0ms	1990×	body	512	valid
395.0ms	421×	body	2048	valid
159.0ms	8000×	pre	128	true
155.0ms	926×	body	256	valid
43.0ms	585×	body	128	valid

Compiler

Compiled 336 to 278 computations (17.3% saved)

Details

analyze1.4s (15.3%)

sample143.0ms (1.6%)

simplify162.0ms (1.8%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite19.0ms (0.2%)

series179.0ms (2%)

simplify70.0ms (0.8%)

prune101.0ms (1.1%)

localize7.0ms (0.1%)

rewrite7.0ms (0.1%)

series37.0ms (0.4%)

simplify81.0ms (0.9%)

prune16.0ms (0.2%)

localize8.0ms (0.1%)

rewrite9.0ms (0.1%)

series300.0ms (3.4%)

simplify87.0ms (1%)

prune33.0ms (0.4%)

localize15.0ms (0.2%)

rewrite22.0ms (0.2%)

series1.1s (12.7%)

simplify83.0ms (0.9%)

prune99.0ms (1.1%)

regimes65.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.8s (54.5%)

Profiling