Details

analyze164.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	20
1	274	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
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

5.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify15.0ms (0.7%)

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)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 x y))
0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`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-r_binary64_1382` `cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `associate-l_binary64_1383`
2×	`associate-*r/_binary64_1384` `flip3--_binary64_1446` `flip--_binary64_1417` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
1×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `diff-log_binary64_1534` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

2 → 36

Calls

2 calls:

6.0ms	(.f64 x (-.f64 1 (.f64 x y)))
3.0ms	(-.f64 1 (*.f64 x y))

series54.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(.f64 x (-.f64 1 (.f64 x y)))
19.0ms	(-.f64 1 (*.f64 x y))

simplify63.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4945	491
1	4945	491

prune42.0ms (1.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	9	43

Error

0.0b

Counts

43 → 9

Compiler

Compiled 626 to 337 computations (46.2% saved)

localize6.0ms (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))))

series43.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))
18.0ms	(.f64 x (neg.f64 (.f64 x y)))

simplify65.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4903	463
1	4903	463

prune37.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	40	9	49

Error

0.0b

Counts

49 → 9

Compiler

Compiled 614 to 209 computations (66% 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)))))
20.6b	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
20.6b	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
20.6b	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))

rewrite20.0ms (0.9%)

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))))

series354.0ms (15.1%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(.f64 (cbrt.f64 (.f64 x (neg.f64 (.f64 x y)))) (cbrt.f64 (.f64 x (neg.f64 (*.f64 x y)))))
88.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
83.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
79.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))

simplify62.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4896	893
1	4896	893

prune70.0ms (3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	71	8	79

Error

0.0b

Counts

79 → 8

Compiler

Compiled 1939 to 438 computations (77.4% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
12.3b	(cbrt.f64 (neg.f64 (*.f64 x y)))
20.6b	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
20.6b	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`cbrt-prod_binary64_1473`
6×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1/3_binary64_1524` `pow1_binary64_1503`
1×	`distribute-lft-neg-in_binary64_1399` `distribute-rgt-neg-in_binary64_1400` `neg-mul-1_binary64_1438`

Counts

4 → 43

Calls

4 calls:

3.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
3.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 x y)))
1.0ms	(cbrt.f64 x)

series332.0ms (14.2%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt.f64 x)
85.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
80.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 x y))))
80.0ms	(cbrt.f64 (neg.f64 (*.f64 x y)))

simplify97.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5007	593

prune50.0ms (2.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	54	9	63

Error

Counts

63 → 9

Compiler

Compiled 1633 to 297 computations (81.8% saved)

regimes128.0ms (5.5%)

Accuracy

Total 0.1b remaining (91.8%)

Threshold costs 0.1b (91.8%)

Compiler

Compiled 1284 to 796 computations (38% 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%)

sample661.0ms (28.3%)

Algorithm

1×

intervals

Results

179.0ms	8000×	body	128	valid
2.0ms	107×	body	128	invalid

Compiler

Compiled 418 to 258 computations (38.3% saved)

Details

analyze164.0ms (7%)

sample11.0ms (0.5%)

simplify15.0ms (0.7%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite11.0ms (0.4%)

series54.0ms (2.3%)

simplify63.0ms (2.7%)

prune42.0ms (1.8%)

localize6.0ms (0.2%)

rewrite9.0ms (0.4%)

series43.0ms (1.9%)

simplify65.0ms (2.8%)

prune37.0ms (1.6%)

localize9.0ms (0.4%)

rewrite20.0ms (0.9%)

series354.0ms (15.1%)

simplify62.0ms (2.7%)

prune70.0ms (3%)

localize15.0ms (0.7%)

rewrite12.0ms (0.5%)

series332.0ms (14.2%)

simplify97.0ms (4.1%)

prune50.0ms (2.1%)

regimes128.0ms (5.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample661.0ms (28.3%)

Profiling