Details

analyze314.0ms (6.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample45.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	187×	body	128	valid
8.0ms	16×	body	1024	valid
7.0ms	28×	body	512	valid
4.0ms	24×	body	256	valid
1.0ms	1×	body	2048	valid
1.0ms	7×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify191.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	625	20
1	625	20

prune3.0ms (0.1%)

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: 10.1b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.3b	(*.f64 x (log.f64 y))
7.9b	(log.f64 (-.f64 1 y))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_11556`
24×	`log-prod_binary64_11618`
21×	`*-un-lft-identity_binary64_11535`
12×	`add-cube-cbrt_binary64_11567`
10×	`pow1_binary64_11593`
9×	`distribute-lft-in_binary64_11486` `distribute-rgt-in_binary64_11487`
8×	`associate-r_binary64_11477` `add-exp-log_binary64_11570`
7×	`add-cbrt-cube_binary64_11568`
6×	`associate-l_binary64_11478` `difference-of-squares_binary64_11504`
3×	`log-pow_binary64_11621` `distribute-lft-out--_binary64_11489` `add-log-exp_binary64_11571`
2×	`unswap-sqr_binary64_11503` `cbrt-unprod_binary64_11565` `log-div_binary64_11619` `*-commutative_binary64_11468` `prod-exp_binary64_11581` `pow-prod-down_binary64_11603`
1×	`flip3--_binary64_11539` `rem-log-exp_binary64_11573` `flip--_binary64_11510`

Counts

3 → 73

Calls

3 calls:

8.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series151.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

70.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
53.0ms	(*.f64 x (log.f64 y))
28.0ms	(log.f64 (-.f64 1 y))

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5083	1036

prune101.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	7	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

Compiler

Compiled 1658 to 919 computations (44.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
0.0b	(.f64 y (+.f64 (.f64 y 1/3) 1/2))
0.3b	(*.f64 y 1/3)
0.3b	(*.f64 x (log.f64 y))

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_11556`
14×	`add-cube-cbrt_binary64_11567` `*-un-lft-identity_binary64_11535`
13×	`pow1_binary64_11593` `associate-r_binary64_11477`
12×	`associate-l_binary64_11478` `add-cbrt-cube_binary64_11568` `add-exp-log_binary64_11570`
6×	`log-prod_binary64_11618`
5×	`distribute-lft-in_binary64_11486` `distribute-rgt-in_binary64_11487`
4×	`associate-r/_binary64_11479` `unswap-sqr_binary64_11503` `cbrt-unprod_binary64_11565` `-commutative_binary64_11468` `prod-exp_binary64_11581` `add-log-exp_binary64_11571` `pow-prod-down_binary64_11603`
2×	`sub-neg_binary64_11528`
1×	`flip3--_binary64_11539` `log-pow_binary64_11621` `flip--_binary64_11510` `flip-+_binary64_11509` `flip3-+_binary64_11538`

Counts

4 → 87

Calls

4 calls:

7.0ms	(.f64 y (+.f64 (.f64 y 1/3) 1/2))
6.0ms	(.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

series178.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(.f64 y (+.f64 (.f64 y 1/3) 1/2))
51.0ms	(*.f64 x (log.f64 y))
34.0ms	(.f64 y (-.f64 -1 (.f64 y (+.f64 (*.f64 y 1/3) 1/2))))
22.0ms	(*.f64 y 1/3)

simplify70.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4897	1174
1	4897	1174

prune126.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

Compiler

Compiled 2632 to 1573 computations (40.2% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.3b	(*.f64 y 1/3)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_11556`
12×	`cbrt-prod_binary64_11563` `add-cube-cbrt_binary64_11567` `*-un-lft-identity_binary64_11535` `associate-+r+_binary64_11469` `log-prod_binary64_11618`
6×	`add-cbrt-cube_binary64_11568` `pow1_binary64_11593` `distribute-lft-in_binary64_11486` `distribute-rgt-in_binary64_11487` `add-log-exp_binary64_11571` `add-exp-log_binary64_11570`
3×	`associate-l_binary64_11478` `associate-r_binary64_11477`
2×	`pow1/3_binary64_11614`
1×	`unswap-sqr_binary64_11503` `distribute-lft-out_binary64_11488` `+-commutative_binary64_11467` `cbrt-unprod_binary64_11565` `sum-log_binary64_11623` `*-commutative_binary64_11468` `prod-exp_binary64_11581` `flip-+_binary64_11509` `flip3-+_binary64_11538` `pow-prod-down_binary64_11603`

Counts

4 → 64

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
4.0ms	(*.f64 y 1/3)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series471.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt.f64 y)
154.0ms	(cbrt.f64 y)
140.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
19.0ms	(*.f64 y 1/3)

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4889	649
1	4889	649

prune121.0ms (2.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Merged error: 0.0b

Counts

83 → 7

Compiler

Compiled 2567 to 1467 computations (42.9% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.3b	(*.f64 y 1/3)
0.6b	(cbrt.f64 y)
5.0b	(pow.f64 y 1/3)

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_11556`
14×	`associate-+r+_binary64_11469` `log-prod_binary64_11618`
13×	`add-cube-cbrt_binary64_11567` `*-un-lft-identity_binary64_11535`
9×	`unpow-prod-down_binary64_11611`
7×	`pow1_binary64_11593` `distribute-lft-in_binary64_11486` `distribute-rgt-in_binary64_11487` `add-exp-log_binary64_11570`
6×	`add-cbrt-cube_binary64_11568` `add-log-exp_binary64_11571`
3×	`cbrt-prod_binary64_11563` `associate-l_binary64_11478` `sqr-pow_binary64_11507` `associate-r_binary64_11477` `pow-unpow_binary64_11609`
1×	`unswap-sqr_binary64_11503` `distribute-lft-out_binary64_11488` `+-commutative_binary64_11467` `pow-to-exp_binary64_11601` `cbrt-unprod_binary64_11565` `sum-log_binary64_11623` `unpow1/3_binary64_11599` `pow1/3_binary64_11614` `pow-pow_binary64_11604` `*-commutative_binary64_11468` `pow-exp_binary64_11600` `prod-exp_binary64_11581` `flip-+_binary64_11509` `flip3-+_binary64_11538` `pow-prod-down_binary64_11603`

Counts

4 → 73

Calls

4 calls:

10.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
4.0ms	(*.f64 y 1/3)
3.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

series497.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

192.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
151.0ms	(cbrt.f64 y)
133.0ms	(pow.f64 y 1/3)
20.0ms	(*.f64 y 1/3)

simplify102.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4786	570
1	4786	570

prune121.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

Compiler

Compiled 2625 to 1637 computations (37.6% saved)

regimes348.0ms (6.7%)

Compiler: Compiled 3686 to 2964 computations (19.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	94	46
1	94	46

end0.0ms (0%)

sample2.0s (39.2%)

Algorithm

1×

intervals

Results

420.0ms	5767×	body	128	valid
325.0ms	639×	body	1024	valid
239.0ms	907×	body	512	valid
102.0ms	664×	body	256	valid
19.0ms	269×	body	128	nan
16.0ms	23×	body	2048	valid
2.0ms	29×	body	128	invalid

Compiler

Compiled 680 to 547 computations (19.6% saved)

Details

analyze314.0ms (6.1%)

sample45.0ms (0.9%)

simplify191.0ms (3.7%)

prune3.0ms (0.1%)

localize11.0ms (0.2%)

rewrite23.0ms (0.4%)

series151.0ms (2.9%)

simplify58.0ms (1.1%)

prune101.0ms (1.9%)

localize15.0ms (0.3%)

rewrite33.0ms (0.6%)

series178.0ms (3.4%)

simplify70.0ms (1.4%)

prune126.0ms (2.4%)

localize20.0ms (0.4%)

rewrite22.0ms (0.4%)

series471.0ms (9.1%)

simplify78.0ms (1.5%)

prune121.0ms (2.3%)

localize27.0ms (0.5%)

rewrite26.0ms (0.5%)

series497.0ms (9.6%)

simplify102.0ms (2%)

prune121.0ms (2.3%)

regimes348.0ms (6.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.0s (39.2%)

Profiling