Details

analyze468.0ms (7.1%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	48
1	79	48
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14
45.2%	10.2%	44.6%	14

Compiler

Compiled 22 to 22 computations (0% saved)

sample897.0ms (13.6%)

Algorithm

2×

intervals

Results

20.0ms	526×	body	128	nan
20.0ms	512×	body	128	valid
1.0ms	27×	body	128	invalid

Compiler

Compiled 6302 to 8018 computations (-27.2% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 y (sqrt.f64 z))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-sqr-sqrt_binary64_5897`
6×	`associate-r_binary64_5815`
4×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875` `sqrt-prod_binary64_5891`
3×	`pow1_binary64_5936` `add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `associate-l_binary64_5816`
2×	`unswap-sqr_binary64_5843`
1×	`pow-prod-down_binary64_5946` `prod-exp_binary64_5924` `add-log-exp_binary64_5914` `cbrt-unprod_binary64_5908` `*-commutative_binary64_5806`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 y (sqrt.f64 z))

Compiler

Compiled 294 to 129 computations (56.1% saved)

series76.0ms (1.2%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

72.0ms

(*.f64 y (sqrt.f64 z))

Compiler

Compiled 167 to 139 computations (16.8% saved)

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4980	229
1	4980	229

prune28.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Error

0.0b

Counts

29 → 4

Compiler

Compiled 354 to 161 computations (54.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.1b	(sqrt.f64 (sqrt.f64 z))
0.3b	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite129.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`sqrt-prod_binary64_5891`
25×	`add-sqr-sqrt_binary64_5897`
18×	`associate-r_binary64_5815`
15×	`pow1_binary64_5936` `add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
11×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
8×	`sqrt-pow1_binary64_5893`
4×	`pow-prod-down_binary64_5946` `prod-exp_binary64_5924` `add-log-exp_binary64_5914` `cbrt-unprod_binary64_5908` `associate-l_binary64_5816` `pow1/2_binary64_5955` `rem-sqrt-square_binary64_5888`
3×	`unswap-sqr_binary64_5843`
2×	`*-commutative_binary64_5806`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
9.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
2.0ms	(sqrt.f64 (sqrt.f64 z))
2.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 1648 to 515 computations (68.8% saved)

series446.0ms (6.8%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

200.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 z)))
79.0ms	(sqrt.f64 (sqrt.f64 z))
77.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
76.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 659 to 531 computations (19.4% saved)

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5186	879

prune108.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	103	7	110

Error

Counts

110 → 7

Compiler

Compiled 1706 to 631 computations (63% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 z))
0.3b	(*.f64 y (pow.f64 z 1/4))
0.3b	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))

rewrite106.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`sqrt-prod_binary64_5891`
18×	`add-exp-log_binary64_5913` `add-sqr-sqrt_binary64_5897`
16×	`associate-r_binary64_5815`
11×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
10×	`prod-exp_binary64_5924` `add-cbrt-cube_binary64_5911`
7×	`pow1_binary64_5936`
4×	`cbrt-unprod_binary64_5908` `associate-l_binary64_5816` `unpow-prod-down_binary64_5954` `sqrt-pow1_binary64_5893`
3×	`add-log-exp_binary64_5914` `unswap-sqr_binary64_5843`
2×	`pow-to-exp_binary64_5944` `pow-exp_binary64_5943` `*-commutative_binary64_5806` `sqr-pow_binary64_5847` `pow1/2_binary64_5955` `rem-sqrt-square_binary64_5888`
1×	`pow-prod-down_binary64_5946`

Counts

3 → 69

Calls

3 calls:

8.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
6.0ms	(*.f64 y (pow.f64 z 1/4))
2.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 1318 to 725 computations (45% saved)

series429.0ms (6.5%)

Error

Counts

3 → 15

Calls

3 calls:

244.0ms	(*.f64 y (pow.f64 z 1/4))
102.0ms	(.f64 (.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
67.0ms	(sqrt.f64 (sqrt.f64 z))

Compiler

Compiled 597 to 501 computations (16.1% saved)

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4994	865
1	4994	865

prune94.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Error

Counts

91 → 7

Compiler

Compiled 1437 to 819 computations (43% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))
0.3b	(*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2))
0.3b	(.f64 (.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
0.3b	(pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2)

rewrite183.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`sqrt-prod_binary64_5891`
32×	`add-sqr-sqrt_binary64_5897`
25×	`associate-r_binary64_5815`
21×	`unpow-prod-down_binary64_5954`
20×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875` `add-exp-log_binary64_5913`
13×	`sqrt-pow1_binary64_5893`
12×	`pow1_binary64_5936`
11×	`add-cbrt-cube_binary64_5911`
10×	`prod-exp_binary64_5924`
5×	`pow1/2_binary64_5955` `pow-pow_binary64_5947` `unswap-sqr_binary64_5843`
4×	`add-log-exp_binary64_5914` `cbrt-unprod_binary64_5908` `associate-l_binary64_5816`
3×	`pow-unpow_binary64_5952` `pow-to-exp_binary64_5944` `pow-exp_binary64_5943` `sqr-pow_binary64_5847` `rem-sqrt-square_binary64_5888`
2×	`*-commutative_binary64_5806`
1×	`sqrt-pow2_binary64_5894` `pow-prod-down_binary64_5946`

Counts

4 → 114

Calls

4 calls:

11.0ms	(.f64 (.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
11.0ms	(*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2))
4.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2)
3.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))

Compiler

Compiled 2612 to 1211 computations (53.6% saved)

series579.0ms (8.8%)

Error

Counts

4 → 18

Calls

4 calls:

281.0ms	(*.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2))
135.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2)
74.0ms	(.f64 (.f64 y (pow.f64 (sqrt.f64 (sqrt.f64 z)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 z))))
72.0ms	(sqrt.f64 (sqrt.f64 (sqrt.f64 z)))

Compiler

Compiled 770 to 638 computations (17.1% saved)

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5091	1449

prune148.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	133	6	139

Error

Counts

139 → 6

Compiler

Compiled 2432 to 1115 computations (54.2% saved)

regimes746.0ms (11.3%)

Accuracy

Total 0.1b remaining (85.7%)

Threshold costs 0.1b (85.7%)

Compiler

Compiled 4985 to 3631 computations (27.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms (0%)

sample1.8s (27.3%)

Algorithm

1×

intervals

Results

311.0ms	8000×	body	128	valid
296.0ms	8456×	body	128	nan
22.0ms	497×	body	128	invalid

Compiler

Compiled 724 to 531 computations (26.7% saved)

Details

analyze468.0ms (7.1%)

sample897.0ms (13.6%)

simplify10.0ms (0.2%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite31.0ms (0.5%)

series76.0ms (1.2%)

simplify49.0ms (0.7%)

prune28.0ms (0.4%)

localize8.0ms (0.1%)

rewrite129.0ms (2%)

series446.0ms (6.8%)

simplify81.0ms (1.2%)

prune108.0ms (1.6%)

localize13.0ms (0.2%)

rewrite106.0ms (1.6%)

series429.0ms (6.5%)

simplify71.0ms (1.1%)

prune94.0ms (1.4%)

localize13.0ms (0.2%)

rewrite183.0ms (2.8%)

series579.0ms (8.8%)

simplify63.0ms (1%)

prune148.0ms (2.3%)

regimes746.0ms (11.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (27.3%)

Profiling