Details

analyze928.0ms (14%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample68.0ms (1%)

Algorithm

1×

intervals

Results

34.0ms	120×	body	2048	valid
15.0ms	73×	body	1024	valid
8.0ms	37×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	14×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune2.0ms (0%)

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

0.5b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite100.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

20×	`add-sqr-sqrt_binary64_1464`
19×	`*-un-lft-identity_binary64_1442`
18×	`times-frac_binary64_1448`
15×	`add-cube-cbrt_binary64_1477`
10×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
8×	`pow1_binary64_1503` `difference-of-squares_binary64_1411`
6×	`associate-/r*_binary64_1386`
4×	`difference-of-sqr-1_binary64_1412`
3×	`add-log-exp_binary64_1481` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `associate-/l*_binary64_1387`
2×	`flip3--_binary64_1446` `associate-/l/_binary64_1389` `flip--_binary64_1417` `associate-/r/_binary64_1388`
1×	`acos-asin_binary64_1623` `unswap-sqr_binary64_1410` `associate-r_binary64_1382` `*-commutative_binary64_1373` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439`

Counts

3 → 71

Calls

3 calls:

8.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1740 to 1097 computations (37% saved)

series97.0ms (1.5%)

Error

0.5b

Counts

3 → 11

Calls

3 calls:

32.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
28.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
26.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 350 to 313 computations (10.6% saved)

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4946	1763
1	4946	1763

prune87.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	2	83

Error

0.5b

Counts

83 → 2

Compiler

Compiled 1750 to 1124 computations (35.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 v v) (pow.f64 v 4))
0.0b	(.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))
0.5b	(acos.f64 (+.f64 -1 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))))

rewrite61.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

7×	`add-sqr-sqrt_binary64_1464`
5×	`pow1_binary64_1503` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
3×	`associate-l_binary64_1383` `associate-r_binary64_1382`
2×	`flip3-+_binary64_1445` `associate-*r/_binary64_1384` `flip-+_binary64_1416`
1×	`acos-asin_binary64_1623` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `*-commutative_binary64_1373` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

3 → 41

Calls

3 calls:

8.0ms	(.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))
5.0ms	(+.f64 (*.f64 v v) (pow.f64 v 4))
1.0ms	(acos.f64 (+.f64 -1 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))))

Compiler

Compiled 872 to 583 computations (33.1% saved)

series155.0ms (2.3%)

Error

0.5b

Counts

3 → 15

Calls

3 calls:

70.0ms	(.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))
54.0ms	(+.f64 (*.f64 v v) (pow.f64 v 4))
20.0ms	(acos.f64 (+.f64 -1 (.f64 4 (+.f64 (.f64 v v) (pow.f64 v 4)))))

Compiler

Compiled 456 to 415 computations (9% saved)

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	6083	836

prune56.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Error

0.5b

Counts

58 → 3

Compiler

Compiled 967 to 680 computations (29.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v)))
0.5b	(acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))
1.0b	(cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3))
1.0b	(pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3)

rewrite124.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

14×	`add-sqr-sqrt_binary64_1464`
12×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442` `cbrt-prod_binary64_1473`
7×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
6×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470`
4×	`add-log-exp_binary64_1481`
3×	`pow-unpow_binary64_1519` `associate-l_binary64_1383` `associate-r_binary64_1382`
2×	`unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414` `associate-*r/_binary64_1384`
1×	`pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465` `pow1/3_binary64_1524` `rem-cbrt-cube_binary64_1466` `acos-asin_binary64_1623` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `flip3-+_binary64_1445` `flip-+_binary64_1416` `*-commutative_binary64_1373`

Counts

4 → 74

Calls

4 calls:

8.0ms	(.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v)))
2.0ms	(pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3)
2.0ms	(cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3))
2.0ms	(acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))

Compiler

Compiled 2019 to 1492 computations (26.1% saved)

series208.0ms (3.1%)

Error

0.5b

Counts

4 → 15

Calls

4 calls:

88.0ms	(pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3)
67.0ms	(.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v)))
20.0ms	(cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3))
19.0ms	(acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1))

Compiler

Compiled 651 to 601 computations (7.7% saved)

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5145	1888

prune109.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	88	4	92

Error

0.5b

Counts

92 → 4

Compiler

Compiled 1926 to 1425 computations (26% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3)) 3))
1.0b	(cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3))
1.0b	(pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3)
1.0b	(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3)) 3)

rewrite331.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

96×	`cbrt-prod_binary64_1473`
48×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470`
28×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
8×	`unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414`
6×	`pow-unpow_binary64_1519` `pow1_binary64_1503` `add-exp-log_binary64_1480`
5×	`add-cbrt-cube_binary64_1478`
4×	`add-log-exp_binary64_1481`
3×	`pow1/3_binary64_1524` `pow-pow_binary64_1514`
2×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465` `rem-cbrt-cube_binary64_1466`

Counts

4 → 137

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3)) 3))
5.0ms	(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3)) 3)
2.0ms	(cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3))
2.0ms	(pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3)

Compiler

Compiled 4865 to 3807 computations (21.7% saved)

series248.0ms (3.7%)

Error

0.5b

Counts

4 → 12

Calls

4 calls:

98.0ms	(pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3)
94.0ms	(pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3)) 3)
21.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3)) 3))
21.0ms	(cbrt.f64 (pow.f64 (acos.f64 (+.f64 (.f64 4 (+.f64 (pow.f64 v 4) (.f64 v v))) -1)) 3))

Compiler

Compiled 612 to 565 computations (7.7% saved)

simplify103.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5367	4297

prune195.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	149	4	153

Error

0.5b

Counts

153 → 4

Compiler

Compiled 3544 to 2638 computations (25.6% saved)

regimes329.0ms (5%)

Accuracy

Total 0.2b remaining (25.3%)

Threshold costs 0.2b (25.3%)

Compiler

Compiled 4961 to 3876 computations (21.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	82
1	25	82

end0.0ms (0%)

sample3.1s (47.2%)

Algorithm

1×

intervals

Results

1.1s	3960×	body	2048	valid
391.0ms	1972×	body	1024	valid
148.0ms	1019×	body	512	valid
53.0ms	533×	body	256	valid
27.0ms	515×	body	128	valid
1.0ms	1×	body	4096	valid
0.0ms	10×	body	128	nan

Compiler

Compiled 1151 to 914 computations (20.6% saved)

Details

analyze928.0ms (14%)

sample68.0ms (1%)

simplify74.0ms (1.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite100.0ms (1.5%)

series97.0ms (1.5%)

simplify63.0ms (1%)

prune87.0ms (1.3%)

localize8.0ms (0.1%)

rewrite61.0ms (0.9%)

series155.0ms (2.3%)

simplify66.0ms (1%)

prune56.0ms (0.8%)

localize12.0ms (0.2%)

rewrite124.0ms (1.9%)

series208.0ms (3.1%)

simplify54.0ms (0.8%)

prune109.0ms (1.6%)

localize13.0ms (0.2%)

rewrite331.0ms (5%)

series248.0ms (3.7%)

simplify103.0ms (1.5%)

prune195.0ms (2.9%)

regimes329.0ms (5%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.1s (47.2%)

Profiling