Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 20 to 16 computations (20% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify173.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5039	29

prune3.0ms (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 38 to 30 computations (21.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.1b	(.f64 3 (.f64 v v))

rewrite282.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64_1464`
26×	`associate-l_binary64_1383`
23×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `*-un-lft-identity_binary64_1442`
22×	`add-cube-cbrt_binary64_1477` `times-frac_binary64_1448`
20×	`sqrt-prod_binary64_1458`
18×	`sqrt-div_binary64_1459` `frac-times_binary64_1452`
17×	`pow1_binary64_1503`
15×	`flip3--_binary64_1446` `flip--_binary64_1417`
12×	`associate-r_binary64_1382`
10×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-*r/_binary64_1384`
9×	`associate-*l/_binary64_1385`
7×	`pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410`
4×	`add-log-exp_binary64_1481`
3×	`*-commutative_binary64_1373`
2×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `sub-neg_binary64_1435` `distribute-rgt-in_binary64_1392` `cancel-sign-sub-inv_binary64_1408` `distribute-lft-in_binary64_1391` `difference-of-squares_binary64_1411`
1×	`div-inv_binary64_1439` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

4 → 129

Calls

4 calls:

15.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
13.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
7.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 4142 to 2935 computations (29.1% saved)

series199.0ms (4.3%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

67.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
51.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
28.0ms	(.f64 3 (.f64 v v))
25.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 997 to 869 computations (12.8% saved)

simplify96.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4922	3598
1	4922	3598

prune223.0ms (4.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	147	3	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	3	151

Error

Counts

151 → 3

Compiler

Compiled 3949 to 2906 computations (26.4% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v)))
0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.1b	(.f64 3 (.f64 v v))

rewrite229.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`add-sqr-sqrt_binary64_1464`
31×	`associate-l_binary64_1383`
24×	`*-un-lft-identity_binary64_1442`
23×	`add-cube-cbrt_binary64_1477`
22×	`times-frac_binary64_1448`
20×	`sqrt-prod_binary64_1458`
16×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
15×	`pow1_binary64_1503`
12×	`associate-r_binary64_1382`
8×	`unswap-sqr_binary64_1410`
6×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `sqrt-div_binary64_1459`
5×	`pow-prod-down_binary64_1513` `add-log-exp_binary64_1481`
4×	`flip3--_binary64_1446` `flip--_binary64_1417` `associate-*r/_binary64_1384`
3×	`*-commutative_binary64_1373` `log-pow_binary64_1531`
2×	`frac-times_binary64_1452` `sub-neg_binary64_1435` `distribute-rgt-in_binary64_1392` `cancel-sign-sub-inv_binary64_1408` `distribute-lft-in_binary64_1391` `difference-of-squares_binary64_1411`
1×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-*l/_binary64_1385` `div-inv_binary64_1439` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `exp-to-pow_binary64_1504` `exp-prod_binary64_1494`

Counts

4 → 115

Calls

4 calls:

12.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
7.0ms	(.f64 (log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v)))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 3672 to 2733 computations (25.6% saved)

series456.0ms (10%)

Error

Counts

4 → 23

Calls

4 calls:

306.0ms	(.f64 (log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v)))
59.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
31.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
30.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1341 to 1193 computations (11% saved)

simplify112.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4917	3047
1	4917	3047

prune219.0ms (4.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	138	3	141

Error

Counts

141 → 3

Compiler

Compiled 3747 to 2803 computations (25.2% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(exp.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.1b	(.f64 3 (.f64 v v))

rewrite219.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`add-sqr-sqrt_binary64_1464`
25×	`associate-l_binary64_1383`
22×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442` `times-frac_binary64_1448`
20×	`sqrt-prod_binary64_1458`
15×	`pow1_binary64_1503`
14×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
10×	`sqrt-div_binary64_1459`
7×	`unswap-sqr_binary64_1410` `associate-r_binary64_1382`
5×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `flip3--_binary64_1446` `flip--_binary64_1417` `exp-prod_binary64_1494` `log-div_binary64_1529` `exp-diff_binary64_1490`
4×	`add-log-exp_binary64_1481` `frac-times_binary64_1452` `associate-*r/_binary64_1384`
2×	`-commutative_binary64_1373` `associate-l/_binary64_1385` `log-pow_binary64_1531`
1×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `log-prod_binary64_1528` `exp-sum_binary64_1488` `rem-exp-log_binary64_1482` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

4 → 105

Calls

4 calls:

12.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
9.0ms	(exp.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 3324 to 2485 computations (25.2% saved)

series236.0ms (5.2%)

Error

Counts

4 → 21

Calls

4 calls:

96.0ms	(exp.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
55.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
31.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
29.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1249 to 1087 computations (13% saved)

simplify110.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4889	2468
1	4889	2468

prune190.0ms (4.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	126	3	129

Error

Counts

129 → 3

Compiler

Compiled 3424 to 2582 computations (24.6% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 v 6) 9/64)
0.1b	(*.f64 (pow.f64 v 4) 3/32)
0.1b	(.f64 (.f64 (*.f64 v v) (sqrt.f64 2)) 5/8)
0.2b	(.f64 (.f64 v v) (sqrt.f64 2))

rewrite196.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-exp-log_binary64_1480`
25×	`add-sqr-sqrt_binary64_1464`
22×	`add-cbrt-cube_binary64_1478`
18×	`pow1_binary64_1503`
16×	`associate-l_binary64_1383`
15×	`prod-exp_binary64_1491` `associate-r_binary64_1382`
13×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
11×	`cbrt-unprod_binary64_1475`
9×	`pow-prod-down_binary64_1513`
8×	`unswap-sqr_binary64_1410` `unpow-prod-down_binary64_1521`
4×	`add-log-exp_binary64_1481` `sqrt-prod_binary64_1458` `*-commutative_binary64_1373` `sqr-pow_binary64_1414`
2×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510`

Counts

4 → 94

Calls

4 calls:

10.0ms	(.f64 (.f64 v v) (sqrt.f64 2))
8.0ms	(.f64 (.f64 (*.f64 v v) (sqrt.f64 2)) 5/8)
5.0ms	(*.f64 (pow.f64 v 4) 3/32)
5.0ms	(*.f64 (pow.f64 v 6) 9/64)

Compiler

Compiled 2943 to 2360 computations (19.8% saved)

series187.0ms (4.1%)

Error

Counts

4 → 12

Calls

4 calls:

49.0ms	(.f64 (.f64 (*.f64 v v) (sqrt.f64 2)) 5/8)
44.0ms	(*.f64 (pow.f64 v 6) 9/64)
42.0ms	(.f64 (.f64 v v) (sqrt.f64 2))
37.0ms	(*.f64 (pow.f64 v 4) 3/32)

Compiler

Compiled 900 to 794 computations (11.8% saved)

simplify80.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4898	1111
1	4898	1111

prune173.0ms (3.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Error

Counts

109 → 3

Compiler

Compiled 3035 to 2460 computations (18.9% saved)

regimes115.0ms (2.5%)

Accuracy

Total 0.0b remaining (97.8%)

Threshold costs 0.0b (97.8%)

Compiler

Compiled 1352 to 1121 computations (17.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	33
1	56	33

end0.0ms (0%)

sample997.0ms (21.8%)

Algorithm

1×

intervals

Results

388.0ms	8000×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 456 to 379 computations (16.9% saved)

Details

analyze5.0ms (0.1%)

sample20.0ms (0.4%)

simplify173.0ms (3.8%)

prune3.0ms (0.1%)

localize12.0ms (0.3%)

rewrite282.0ms (6.2%)

series199.0ms (4.3%)

simplify96.0ms (2.1%)

prune223.0ms (4.9%)

localize15.0ms (0.3%)

rewrite229.0ms (5%)

series456.0ms (10%)

simplify112.0ms (2.4%)

prune219.0ms (4.8%)

localize15.0ms (0.3%)

rewrite219.0ms (4.8%)

series236.0ms (5.2%)

simplify110.0ms (2.4%)

prune190.0ms (4.1%)

localize16.0ms (0.4%)

rewrite196.0ms (4.3%)

series187.0ms (4.1%)

simplify80.0ms (1.8%)

prune173.0ms (3.8%)

regimes115.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample997.0ms (21.8%)

Profiling