Details

analyze176.0ms (4.3%)

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)

sample23.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	16×	body	128	invalid
0.0ms	1×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify433.0ms (10.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (338.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

prune2.0ms (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

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)))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_8944`
9×	`pow1_binary64_9005` `add-sqr-sqrt_binary64_8966`
8×	`distribute-lft-out_binary64_8895` `add-log-exp_binary64_8983`
7×	`add-cube-cbrt_binary64_8979` `associate-r_binary64_8884`
5×	`add-cbrt-cube_binary64_8980` `associate-+r+_binary64_8876` `add-exp-log_binary64_8982`
4×	`associate-+l+_binary64_8877` `distribute-lft-out--_binary64_8896` `log-pow_binary64_9033`
3×	`flip3-+_binary64_8947` `associate-l_binary64_8885` `sum-log_binary64_9035` `cancel-sign-sub-inv_binary64_8910` `log-prod_binary64_9030` `flip-+_binary64_8918`
2×	`associate-*r/_binary64_8886` `+-commutative_binary64_8874` `distribute-rgt-in_binary64_8894` `distribute-lft-in_binary64_8893`
1×	`prod-exp_binary64_8993` `*-commutative_binary64_8875` `diff-log_binary64_9036` `sub-neg_binary64_8937` `associate-+l-_binary64_8879` `unswap-sqr_binary64_8912` `pow-prod-down_binary64_9015` `cbrt-unprod_binary64_8977`

Counts

3 → 63

Calls

3 calls:

11.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
6.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series162.0ms (4%)

Counts

3 → 9

Calls

3 calls:

62.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
54.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
46.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

simplify69.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5274	1057

prune79.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Error

0.0b

Counts

73 → 7

Compiler

Compiled 1390 to 875 computations (37.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.7b	(cbrt.f64 z)
0.7b	(cbrt.f64 z)

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_8944`
12×	`add-sqr-sqrt_binary64_8966`
10×	`add-cube-cbrt_binary64_8979` `add-log-exp_binary64_8983`
9×	`cbrt-prod_binary64_8975`
8×	`pow1_binary64_9005`
6×	`add-cbrt-cube_binary64_8980` `associate-+r+_binary64_8876` `log-prod_binary64_9030` `add-exp-log_binary64_8982`
5×	`associate-r_binary64_8884` `sum-log_binary64_9035`
4×	`distribute-lft-out_binary64_8895`
3×	`associate-l_binary64_8885`
2×	`flip3-+_binary64_8947` `associate-*r/_binary64_8886` `pow1/3_binary64_9026` `log-pow_binary64_9033` `associate-+l-_binary64_8879` `flip-+_binary64_8918`
1×	`+-commutative_binary64_8874` `distribute-rgt-in_binary64_8894` `prod-exp_binary64_8993` `associate-+l+_binary64_8877` `*-commutative_binary64_8875` `diff-log_binary64_9036` `unswap-sqr_binary64_8912` `pow-prod-down_binary64_9015` `cbrt-unprod_binary64_8977` `distribute-lft-in_binary64_8893`

Counts

4 → 69

Calls

4 calls:

12.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
11.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series480.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
132.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
89.0ms	(cbrt.f64 z)
81.0ms	(cbrt.f64 z)

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4960	996
1	4960	996

prune94.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	82	6	88

Error

Counts

88 → 6

Compiler

Compiled 1858 to 1039 computations (44.1% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (-.f64 1 z) (.f64 (log.f64 z) 2/3)))
0.3b	(*.f64 (log.f64 (cbrt.f64 z)) y)
0.4b	(*.f64 (log.f64 z) 2/3)
0.7b	(cbrt.f64 z)

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_8966`
12×	`associate-l_binary64_8885` `pow1_binary64_9005`
11×	`add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944`
10×	`add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982`
9×	`associate-r_binary64_8884`
4×	`add-log-exp_binary64_8983`
3×	`prod-exp_binary64_8993` `cbrt-prod_binary64_8975` `*-commutative_binary64_8875` `log-pow_binary64_9033` `unswap-sqr_binary64_8912` `pow-prod-down_binary64_9015` `cbrt-unprod_binary64_8977`
2×	`associate-*r/_binary64_8886` `pow1/3_binary64_9026`
1×	`flip3-+_binary64_8947` `distribute-rgt-in_binary64_8894` `flip-+_binary64_8918` `distribute-lft-in_binary64_8893`

Counts

4 → 72

Calls

4 calls:

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

series291.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt.f64 z)
82.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
71.0ms	(.f64 y (+.f64 (-.f64 1 z) (.f64 (log.f64 z) 2/3)))
51.0ms	(*.f64 (log.f64 z) 2/3)

simplify54.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4987	941
1	4987	941

prune100.0ms (2.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Error

Counts

90 → 6

Compiler

Compiled 2174 to 1213 computations (44.2% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (log.f64 z) (.f64 (cbrt.f64 2/3) (cbrt.f64 2/3)))
0.4b	(.f64 (.f64 (log.f64 z) (*.f64 (cbrt.f64 2/3) (cbrt.f64 2/3))) (cbrt.f64 2/3))
0.7b	(cbrt.f64 z)
1.0b	(*.f64 (cbrt.f64 2/3) (cbrt.f64 2/3))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`pow1_binary64_9005`
25×	`add-sqr-sqrt_binary64_8966`
22×	`cbrt-prod_binary64_8975`
20×	`add-exp-log_binary64_8982`
16×	`add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944`
13×	`associate-r_binary64_8884`
11×	`associate-l_binary64_8885` `add-cbrt-cube_binary64_8980` `pow-prod-down_binary64_9015`
10×	`prod-exp_binary64_8993` `cbrt-unprod_binary64_8977`
7×	`pow1/3_binary64_9026`
6×	`swap-sqr_binary64_8911`
5×	`unswap-sqr_binary64_8912`
4×	`add-log-exp_binary64_8983`
3×	`*-commutative_binary64_8875`
2×	`pow-sqr_binary64_8917` `pow-prod-up_binary64_9014`
1×	`pow2_binary64_9025` `log-pow_binary64_9033` `pow-plus_binary64_9007`

Counts

4 → 95

Calls

4 calls:

11.0ms	(.f64 (.f64 (log.f64 z) (*.f64 (cbrt.f64 2/3) (cbrt.f64 2/3))) (cbrt.f64 2/3))
8.0ms	(.f64 (log.f64 z) (.f64 (cbrt.f64 2/3) (cbrt.f64 2/3)))
6.0ms	(*.f64 (cbrt.f64 2/3) (cbrt.f64 2/3))
1.0ms	(cbrt.f64 z)

series253.0ms (6.2%)

Counts

4 → 10

Calls

4 calls:

92.0ms	(.f64 (.f64 (log.f64 z) (*.f64 (cbrt.f64 2/3) (cbrt.f64 2/3))) (cbrt.f64 2/3))
84.0ms	(cbrt.f64 z)
76.0ms	(.f64 (log.f64 z) (.f64 (cbrt.f64 2/3) (cbrt.f64 2/3)))
0.0ms	(*.f64 (cbrt.f64 2/3) (cbrt.f64 2/3))

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4894	947
1	4894	947

prune147.0ms (3.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	105	6	111

Error

Counts

111 → 6

Compiler

Compiled 2980 to 1927 computations (35.3% saved)

regimes309.0ms (7.6%)

Accuracy

Total 0.1b remaining (96%)

Threshold costs 0.1b (96%)

Compiler

Compiled 3319 to 2747 computations (17.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms (0%)

sample1.1s (26.7%)

Algorithm

1×

intervals

Results

392.0ms	8000×	body	128	valid
15.0ms	307×	body	128	invalid
3.0ms	75×	body	128	nan

Compiler

Compiled 502 to 417 computations (16.9% saved)

Details

analyze176.0ms (4.3%)

sample23.0ms (0.6%)

simplify433.0ms (10.6%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite29.0ms (0.7%)

series162.0ms (4%)

simplify69.0ms (1.7%)

prune79.0ms (1.9%)

localize13.0ms (0.3%)

rewrite31.0ms (0.8%)

series480.0ms (11.8%)

simplify74.0ms (1.8%)

prune94.0ms (2.3%)

localize16.0ms (0.4%)

rewrite24.0ms (0.6%)

series291.0ms (7.1%)

simplify54.0ms (1.3%)

prune100.0ms (2.4%)

localize19.0ms (0.5%)

rewrite35.0ms (0.9%)

series253.0ms (6.2%)

simplify64.0ms (1.6%)

prune147.0ms (3.6%)

regimes309.0ms (7.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (26.7%)

Profiling