Details

analyze172.0ms (8.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	20
1	256	20
0	2	2
1	2	2

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%	99.9%	0.1%	4
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify21.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	256	10
1	256	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (+.f64 x y) (*.f64 x y))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_8983`
2×	`diff-log_binary64_9036`
1×	`add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944` `flip3--_binary64_8948` `flip--_binary64_8919` `pow1_binary64_9005` `associate--l+_binary64_8881` `add-cbrt-cube_binary64_8980` `sum-log_binary64_9035` `sub-neg_binary64_8937` `cancel-sign-sub-inv_binary64_8910` `add-exp-log_binary64_8982` `add-sqr-sqrt_binary64_8966`

Counts

1 → 14

Calls

1 calls:

6.0ms

(-.f64 (+.f64 x y) (*.f64 x y))

series17.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

17.0ms

(-.f64 (+.f64 x y) (*.f64 x y))

simplify57.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5205	248

prune12.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Error

0.0b

Counts

18 → 2

Compiler

Compiled 231 to 47 computations (79.7% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
0.6b	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.6b	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.6b	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

rewrite42.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_8975`
23×	`add-sqr-sqrt_binary64_8966`
18×	`cbrt-div_binary64_8976`
15×	`add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944`
11×	`pow1_binary64_9005`
9×	`pow1/3_binary64_9026` `flip3--_binary64_8948` `flip--_binary64_8919`
6×	`associate-l_binary64_8885` `associate-r_binary64_8884` `swap-sqr_binary64_8911` `add-exp-log_binary64_8982`
4×	`frac-times_binary64_8954` `add-cbrt-cube_binary64_8980` `unswap-sqr_binary64_8912` `add-log-exp_binary64_8983`
2×	`pow-sqr_binary64_8917` `associate-r/_binary64_8886` `associate-l/_binary64_8887` `pow-prod-down_binary64_9015` `pow-prod-up_binary64_9014`
1×	`pow2_binary64_9025` `prod-exp_binary64_8993` `*-commutative_binary64_8875` `pow-plus_binary64_9007` `cbrt-unprod_binary64_8977`

Counts

4 → 87

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
5.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
5.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
5.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

series361.0ms (17%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))
78.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
78.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
78.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

simplify71.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5679	2686

prune96.0ms (4.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	99	2	101

Error

Counts

101 → 2

Compiler

Compiled 3549 to 597 computations (83.2% saved)

localize14.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.6b	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.6b	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) 4)

rewrite43.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-div_binary64_8976`
16×	`cbrt-prod_binary64_8975`
10×	`add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944` `add-sqr-sqrt_binary64_8966`
9×	`unpow-prod-down_binary64_9023`
8×	`flip3--_binary64_8948` `flip--_binary64_8919`
5×	`pow1_binary64_9005` `add-exp-log_binary64_8982`
4×	`pow1/3_binary64_9026` `frac-times_binary64_8954` `add-cbrt-cube_binary64_8980` `add-log-exp_binary64_8983`
3×	`pow-unpow_binary64_9021`
2×	`associate-r/_binary64_8886` `pow-pow_binary64_9016` `associate-l/_binary64_8887`
1×	`sqr-pow_binary64_8916` `pow-to-exp_binary64_9013` `pow-exp_binary64_9012`

Counts

4 → 67

Calls

4 calls:

16.0ms	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))))
8.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) 4)
6.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
5.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

series537.0ms (25.3%)

Counts

4 → 12

Calls

4 calls:

235.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))) 4)
147.0ms	(cbrt.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))))
80.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
74.0ms	(cbrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))

simplify74.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5029	2590

prune110.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	79	2	81

Error

Counts

81 → 2

Compiler

Compiled 4062 to 932 computations (77.1% saved)

regimes35.0ms (1.7%)

Accuracy

Total 0.0b remaining (25.5%)

Threshold costs 0.0b (25.5%)

Compiler

Compiled 291 to 123 computations (57.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	10
1	34	10

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample427.0ms (20.1%)

Algorithm

1×

intervals

Results

175.0ms	7998×	body	128	valid
2.0ms	87×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 106 to 48 computations (54.7% saved)

Details

analyze172.0ms (8.1%)

sample13.0ms (0.6%)

simplify21.0ms (1%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series17.0ms (0.8%)

simplify57.0ms (2.7%)

prune12.0ms (0.5%)

localize8.0ms (0.4%)

rewrite42.0ms (2%)

series361.0ms (17%)

simplify71.0ms (3.3%)

prune96.0ms (4.5%)

localize14.0ms (0.7%)

rewrite43.0ms (2%)

series537.0ms (25.3%)

simplify74.0ms (3.5%)

prune110.0ms (5.2%)

regimes35.0ms (1.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample427.0ms (20.1%)

Profiling