Details

analyze53.0ms (2.2%)

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%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample11.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify105.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	184	10
1	184	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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1464`
3×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `add-exp-log_binary64_1480` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
2×	`associate-*r/_binary64_1384` `cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
1×	`cbrt-unprod_binary64_1475` `flip3--_binary64_1446` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `add-log-exp_binary64_1481` `flip--_binary64_1417` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

series30.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

30.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

simplify59.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5098	328

prune32.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	19	8	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	8	28

Error

0.0b

Counts

28 → 8

Compiler

Compiled 453 to 248 computations (45.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))
0.2b	(.f64 x (neg.f64 (.f64 x y)))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`associate-r_binary64_1382` `add-sqr-sqrt_binary64_1464`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
3×	`associate-l_binary64_1383`
2×	`distribute-rgt-neg-out_binary64_1402`
1×	`distribute-lft-neg-in_binary64_1399` `cbrt-unprod_binary64_1475` `sum-log_binary64_1533` `unsub-neg_binary64_1436` `distribute-rgt-neg-in_binary64_1400` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `neg-mul-1_binary64_1438` `flip3-+_binary64_1445` `flip-+_binary64_1416` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

2 → 34

Calls

2 calls:

5.0ms	(.f64 x (neg.f64 (.f64 x y)))
3.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))

series42.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

24.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))
18.0ms	(.f64 x (neg.f64 (.f64 x y)))

simplify65.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4903	463
1	4903	463

prune34.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	42	6	48

Error

0.0b

Counts

48 → 6

Compiler

Compiled 564 to 169 computations (70% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (neg.f64 (.f64 x y))) (cbrt.f64 (neg.f64 (*.f64 x y))))
9.3b	(cbrt.f64 (neg.f64 (*.f64 x y)))
9.3b	(cbrt.f64 (neg.f64 (*.f64 x y)))
9.3b	(cbrt.f64 (neg.f64 (*.f64 x y)))

rewrite21.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`cbrt-prod_binary64_1473`
23×	`add-sqr-sqrt_binary64_1464`
15×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`pow1_binary64_1503`
9×	`associate-r_binary64_1382` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `pow1/3_binary64_1524`
7×	`distribute-lft-neg-in_binary64_1399` `distribute-rgt-neg-in_binary64_1400` `neg-mul-1_binary64_1438`
6×	`add-exp-log_binary64_1480`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `unswap-sqr_binary64_1410`
2×	`pow-prod-down_binary64_1513` `pow-sqr_binary64_1415` `pow-prod-up_binary64_1512`
1×	`pow2_binary64_1523` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `*-commutative_binary64_1373` `prod-exp_binary64_1491`

Counts

4 → 91

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (neg.f64 (.f64 x y))) (cbrt.f64 (neg.f64 (*.f64 x y))))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 x y)))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 x y)))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 x y)))

series366.0ms (15.3%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(.f64 (cbrt.f64 (neg.f64 (.f64 x y))) (cbrt.f64 (neg.f64 (*.f64 x y))))
87.0ms	(cbrt.f64 (neg.f64 (*.f64 x y)))
84.0ms	(cbrt.f64 (neg.f64 (*.f64 x y)))
79.0ms	(cbrt.f64 (neg.f64 (*.f64 x y)))

simplify86.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4919	1332
1	4919	1332

prune100.0ms (4.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	102	7	109

Error

0.0b

Counts

109 → 7

Compiler

Compiled 2552 to 631 computations (75.3% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 x (neg.f64 (.f64 x y)))) (cbrt.f64 (.f64 x (neg.f64 (*.f64 x y)))))
21.2b	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
21.2b	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
21.2b	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))

rewrite20.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_1503`
10×	`add-sqr-sqrt_binary64_1464`
9×	`pow1/3_binary64_1524`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`cbrt-prod_binary64_1473`
6×	`add-exp-log_binary64_1480`
4×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `add-log-exp_binary64_1481`
2×	`pow-prod-down_binary64_1513` `pow-sqr_binary64_1415` `pow-prod-up_binary64_1512`
1×	`pow2_binary64_1523` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `*-commutative_binary64_1373` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 x (neg.f64 (.f64 x y)))) (cbrt.f64 (.f64 x (neg.f64 (*.f64 x y)))))
3.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
3.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
3.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))

series358.0ms (14.9%)

Counts

4 → 12

Calls

4 calls:

107.0ms	(.f64 (cbrt.f64 (.f64 x (neg.f64 (.f64 x y)))) (cbrt.f64 (.f64 x (neg.f64 (*.f64 x y)))))
86.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
86.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
79.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))

simplify61.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4896	893
1	4896	893

prune61.0ms (2.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	70	7	77

Error

0.0b

Counts

77 → 7

Compiler

Compiled 1830 to 368 computations (79.9% saved)

regimes140.0ms (5.8%)

Accuracy

Total 0.1b remaining (93.8%)

Threshold costs 0.1b (93.8%)

Compiler

Compiled 1514 to 892 computations (41.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	10
1	44	10

end0.0ms (0%)

sample705.0ms (29.4%)

Algorithm

1×

intervals

Results

187.0ms	8000×	body	128	valid
2.0ms	97×	body	128	invalid

Compiler

Compiled 489 to 286 computations (41.5% saved)

Details

analyze53.0ms (2.2%)

sample11.0ms (0.5%)

simplify105.0ms (4.4%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series30.0ms (1.3%)

simplify59.0ms (2.5%)

prune32.0ms (1.3%)

localize5.0ms (0.2%)

rewrite9.0ms (0.4%)

series42.0ms (1.8%)

simplify65.0ms (2.7%)

prune34.0ms (1.4%)

localize9.0ms (0.4%)

rewrite21.0ms (0.9%)

series366.0ms (15.3%)

simplify86.0ms (3.6%)

prune100.0ms (4.2%)

localize9.0ms (0.4%)

rewrite20.0ms (0.8%)

series358.0ms (14.9%)

simplify61.0ms (2.5%)

prune61.0ms (2.5%)

regimes140.0ms (5.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample705.0ms (29.4%)

Profiling