Details

analyze1.5s (17.2%)

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)

sample140.0ms (1.6%)

Algorithm

1×

intervals

Results

86.0ms	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)

simplify168.0ms (1.9%)

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))

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_767`
18×	`add-sqr-sqrt_binary64_789`
16×	`times-frac_binary64_773`
15×	`pow1_binary64_828` `add-cube-cbrt_binary64_802`
12×	`log-pow_binary64_856`
10×	`log-prod_binary64_853`
7×	`add-exp-log_binary64_805`
6×	`log-div_binary64_854`
5×	`add-cbrt-cube_binary64_803`
4×	`associate-/r_binary64_711` `associate-/l_binary64_712`
3×	`add-log-exp_binary64_806`
2×	`rem-log-exp_binary64_808` `flip--_binary64_742` `div-sub_binary64_772` `flip3--_binary64_771` `difference-of-squares_binary64_736`
1×	`frac-2neg_binary64_778` `distribute-lft-out_binary64_718` `cbrt-undiv_binary64_801` `flip-+_binary64_741` `distribute-lft-out--_binary64_719` `flip3-+_binary64_770` `div-exp_binary64_818` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

3 → 70

Calls

3 calls:

8.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (+.f64 1 x))

series186.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

135.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
27.0ms	(log.f64 (-.f64 1 x))
24.0ms	(log.f64 (+.f64 1 x))

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4985	1554
1	4985	1554

prune234.0ms (2.7%)

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 3303 to 2694 computations (18.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
3×	`associate-r_binary64_707` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `add-sqr-sqrt_binary64_789` `pow-prod-down_binary64_838`
2×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
1×	`associate-l_binary64_708` `unswap-sqr_binary64_735` `*-commutative_binary64_698` `add-log-exp_binary64_806`

Counts

1 → 19

Calls

1 calls:

7.0ms

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

series38.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4882	181
1	4882	181

prune22.0ms (0.3%)

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 292 to 200 computations (31.5% 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))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`log-prod_binary64_853`
8×	`add-sqr-sqrt_binary64_789`
7×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
6×	`unpow-prod-down_binary64_846` `sqrt-prod_binary64_783`
4×	`add-exp-log_binary64_805` `sqrt-pow1_binary64_785`
3×	`exp-prod_binary64_819` `pow1_binary64_828` `rem-log-exp_binary64_808`
2×	`add-log-exp_binary64_806` `add-cbrt-cube_binary64_803`
1×	`pow-to-exp_binary64_836` `rem-sqrt-square_binary64_780` `sqr-pow_binary64_739` `pow-exp_binary64_835` `log-pow_binary64_856` `pow1/2_binary64_847`

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:

279.0ms	(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 (76.0ms)

Iter	Nodes	Cost
0	4937	384
1	4937	384

prune39.0ms (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 644 to 386 computations (40.1% saved)

localize12.0ms (0.1%)

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)))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`log-prod_binary64_853`
20×	`cbrt-prod_binary64_798`
18×	`add-sqr-sqrt_binary64_789`
16×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
12×	`unpow-prod-down_binary64_846` `sqrt-prod_binary64_783`
8×	`pow1_binary64_828` `sqrt-pow1_binary64_785`
6×	`exp-prod_binary64_819` `add-exp-log_binary64_805`
4×	`add-log-exp_binary64_806` `log-pow_binary64_856` `add-cbrt-cube_binary64_803`
2×	`pow1/3_binary64_849` `rem-sqrt-square_binary64_780` `sqr-pow_binary64_739` `pow1/2_binary64_847` `rem-log-exp_binary64_808`

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)))
3.0ms	(sqrt.f64 (exp.f64 x))
3.0ms	(sqrt.f64 (exp.f64 x))

series1.1s (12.6%)

Counts

4 → 12

Calls

4 calls:

536.0ms	(log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
533.0ms	(log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)))
21.0ms	(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 (66.0ms)

Iter	Nodes	Cost
0	4923	1086
1	4923	1086

prune100.0ms (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)

regimes17.0ms (0.2%)

Compiler: Compiled 98 to 72 computations (26.5% 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%)

sample4.5s (51.4%)

Algorithm

1×

intervals

Results

2.8s	4078×	body	1024	valid
652.0ms	1990×	body	512	valid
391.0ms	421×	body	2048	valid
158.0ms	8000×	pre	128	true
149.0ms	926×	body	256	valid
45.0ms	585×	body	128	valid

Compiler

Compiled 80 to 61 computations (23.8% saved)

Details

analyze1.5s (17.2%)

sample140.0ms (1.6%)

simplify168.0ms (1.9%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite22.0ms (0.2%)

series186.0ms (2.1%)

simplify56.0ms (0.6%)

prune234.0ms (2.7%)

localize6.0ms (0.1%)

rewrite9.0ms (0.1%)

series38.0ms (0.4%)

simplify88.0ms (1%)

prune22.0ms (0.3%)

localize8.0ms (0.1%)

rewrite10.0ms (0.1%)

series300.0ms (3.4%)

simplify87.0ms (1%)

prune39.0ms (0.4%)

localize12.0ms (0.1%)

rewrite24.0ms (0.3%)

series1.1s (12.6%)

simplify83.0ms (0.9%)

prune100.0ms (1.1%)

regimes17.0ms (0.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.5s (51.4%)

Profiling