Details

analyze286.0ms (4.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify561.0ms (9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (440.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

prune3.0ms (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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_5534`
9×	`add-sqr-sqrt_binary64_5556` `pow1_binary64_5595`
8×	`add-log-exp_binary64_5573` `distribute-lft-out_binary64_5485`
7×	`associate-r_binary64_5474` `add-cube-cbrt_binary64_5569`
5×	`associate-+r+_binary64_5466` `add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572`
4×	`log-pow_binary64_5623` `distribute-lft-out--_binary64_5486` `associate-+l+_binary64_5467`
3×	`flip-+_binary64_5508` `cancel-sign-sub-inv_binary64_5500` `associate-l_binary64_5475` `flip3-+_binary64_5537` `sum-log_binary64_5625` `log-prod_binary64_5620`
2×	`associate-*r/_binary64_5476` `+-commutative_binary64_5464` `distribute-rgt-in_binary64_5484` `distribute-lft-in_binary64_5483`
1×	`diff-log_binary64_5626` `cbrt-unprod_binary64_5567` `*-commutative_binary64_5465` `associate-+l-_binary64_5469` `unswap-sqr_binary64_5502` `prod-exp_binary64_5583` `sub-neg_binary64_5527` `pow-prod-down_binary64_5605`

Counts

3 → 63

Calls

3 calls:

18.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
15.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
9.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series208.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

70.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
70.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
68.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

simplify123.0ms (2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5274	1057

prune116.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	6	73

Error

0.0b

Counts

73 → 6

Compiler

Compiled 1348 to 842 computations (37.5% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
0.5b	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
0.5b	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
0.5b	(*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))

rewrite82.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

143×	`*-un-lft-identity_binary64_5534`
93×	`cbrt-prod_binary64_5565`
60×	`distribute-lft-out_binary64_5485`
41×	`pow1_binary64_5595`
30×	`log-pow_binary64_5623` `distribute-lft-out--_binary64_5486` `swap-sqr_binary64_5501`
23×	`add-sqr-sqrt_binary64_5556`
18×	`cbrt-div_binary64_5566`
15×	`add-cube-cbrt_binary64_5569`
10×	`associate-l_binary64_5475` `associate-r_binary64_5474`
9×	`flip-+_binary64_5508` `flip3-+_binary64_5537` `pow1/3_binary64_5616`
6×	`add-exp-log_binary64_5572`
4×	`add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `frac-times_binary64_5544` `unswap-sqr_binary64_5502`
2×	`associate-l/_binary64_5477` `associate-r/_binary64_5476` `pow-sqr_binary64_5507` `pow-prod-up_binary64_5604` `pow-prod-down_binary64_5605`
1×	`cbrt-unprod_binary64_5567` `pow-plus_binary64_5597` `*-commutative_binary64_5465` `pow2_binary64_5615` `prod-exp_binary64_5583`

Counts

4 → 131

Calls

4 calls:

26.0ms	(*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))
15.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
15.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
9.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))

series446.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))
101.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
93.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))
72.0ms	(cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))

simplify86.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4971	4160
1	4971	4160

prune378.0ms (6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	142	7	149

Error

Counts

149 → 7

Compiler

Compiled 5697 to 3901 computations (31.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.5b	(cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.5b	(cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))

rewrite59.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_5476`
18×	`cbrt-div_binary64_5566`
11×	`pow1_binary64_5595`
10×	`add-sqr-sqrt_binary64_5556`
9×	`flip-+_binary64_5508` `flip3-+_binary64_5537` `pow1/3_binary64_5616`
8×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
7×	`cbrt-prod_binary64_5565`
6×	`add-exp-log_binary64_5572`
4×	`associate-l_binary64_5475` `swap-sqr_binary64_5501` `add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `associate-r_binary64_5474` `frac-times_binary64_5544`
2×	`associate-*l/_binary64_5477` `pow-sqr_binary64_5507` `pow-prod-up_binary64_5604` `pow-prod-down_binary64_5605`
1×	`cbrt-unprod_binary64_5567` `pow-plus_binary64_5597` `*-commutative_binary64_5465` `pow2_binary64_5615` `unswap-sqr_binary64_5502` `prod-exp_binary64_5583`

Counts

4 → 72

Calls

4 calls:

16.0ms	(cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
14.0ms	(cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
8.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))
8.0ms	(cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series1.1s (16.9%)

Counts

4 → 12

Calls

4 calls:

421.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))
227.0ms	(cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
211.0ms	(cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
196.0ms	(cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5069	3769

prune220.0ms (3.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Error

Counts

91 → 7

Compiler

Compiled 4491 to 2998 computations (33.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5565`
23×	`add-sqr-sqrt_binary64_5556`
15×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
11×	`pow1_binary64_5595`
9×	`pow1/3_binary64_5616`
6×	`associate-l_binary64_5475` `swap-sqr_binary64_5501` `add-exp-log_binary64_5572` `associate-r_binary64_5474`
4×	`add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `unswap-sqr_binary64_5502`
2×	`pow-sqr_binary64_5507` `pow-prod-up_binary64_5604` `pow-prod-down_binary64_5605`
1×	`cbrt-unprod_binary64_5567` `pow-plus_binary64_5597` `*-commutative_binary64_5465` `pow2_binary64_5615` `prod-exp_binary64_5583`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series468.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

153.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
114.0ms	(cbrt.f64 y)
114.0ms	(cbrt.f64 y)
86.0ms	(cbrt.f64 y)

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune107.0ms (1.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	85	7	92

Error

Counts

92 → 7

Compiler

Compiled 1839 to 913 computations (50.4% saved)

regimes344.0ms (5.5%)

Accuracy

Total 0.1b remaining (90.2%)

Threshold costs 0.1b (90.2%)

Compiler

Compiled 2640 to 2159 computations (18.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms (0%)

sample1.4s (22.5%)

Algorithm

1×

intervals

Results

554.0ms	8000×	body	128	valid
22.0ms	326×	body	128	invalid
4.0ms	76×	body	128	nan

Compiler

Compiled 405 to 333 computations (17.8% saved)

Details

analyze286.0ms (4.6%)

sample25.0ms (0.4%)

simplify561.0ms (9%)

prune3.0ms (0%)

localize9.0ms (0.2%)

rewrite47.0ms (0.7%)

series208.0ms (3.3%)

simplify123.0ms (2%)

prune116.0ms (1.9%)

localize25.0ms (0.4%)

rewrite82.0ms (1.3%)

series446.0ms (7.1%)

simplify86.0ms (1.4%)

prune378.0ms (6%)

localize13.0ms (0.2%)

rewrite59.0ms (0.9%)

series1.1s (16.9%)

simplify65.0ms (1%)

prune220.0ms (3.5%)

localize15.0ms (0.2%)

rewrite23.0ms (0.4%)

series468.0ms (7.5%)

simplify75.0ms (1.2%)

prune107.0ms (1.7%)

regimes344.0ms (5.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (22.5%)

Profiling