Details

analyze225.0ms (3.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4978	80
1	4978	80
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%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

128

valid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4990	40
1	4990	40

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.6b

Counts

2 → 1

Compiler

Compiled 54 to 41 computations (24.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.3b	(*.f64 PI.f64 t)
0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.5b	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

rewrite48.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
18×	`associate-*r/_binary64_1384`
16×	`pow1_binary64_1503`
13×	`cbrt-unprod_binary64_1475` `add-sqr-sqrt_binary64_1464` `prod-exp_binary64_1491`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`associate-r_binary64_1382` `associate-/r/_binary64_1388` `flip3--_binary64_1446` `sqrt-div_binary64_1459` `flip--_binary64_1417`
7×	`associate-l_binary64_1383` `pow-prod-down_binary64_1513`
4×	`cbrt-undiv_binary64_1476` `add-log-exp_binary64_1481` `frac-times_binary64_1452` `div-exp_binary64_1493`
3×	`times-frac_binary64_1448` `associate-/l_binary64_1387` `-commutative_binary64_1373`
2×	`associate-/l/_binary64_1389` `associate-*l/_binary64_1385` `unswap-sqr_binary64_1410`
1×	`associate-/r*_binary64_1386` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `sqrt-prod_binary64_1458` `div-sub_binary64_1447`

Counts

4 → 94

Calls

4 calls:

17.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
11.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
6.0ms	(.f64 3 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

series307.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
99.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
16.0ms	(.f64 3 (.f64 v v))
13.0ms	(*.f64 PI.f64 t)

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5172	2803

prune198.0ms (2.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	98	8	106
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	9	107

Error

0.3b

Counts

107 → 9

Compiler

Compiled 4082 to 2525 computations (38.1% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.3b	(.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
0.4b	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`associate-*r/_binary64_1384` `add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
16×	`pow1_binary64_1503`
13×	`cbrt-unprod_binary64_1475` `add-sqr-sqrt_binary64_1464` `prod-exp_binary64_1491`
10×	`sqrt-div_binary64_1459` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`flip3--_binary64_1446` `associate-l_binary64_1383` `flip--_binary64_1417`
8×	`associate-/r/_binary64_1388`
7×	`pow-prod-down_binary64_1513`
6×	`associate-r_binary64_1382`
4×	`cbrt-undiv_binary64_1476` `add-log-exp_binary64_1481` `frac-times_binary64_1452` `div-exp_binary64_1493`
3×	`times-frac_binary64_1448` `associate-/l_binary64_1387` `-commutative_binary64_1373`
2×	`associate-/l/_binary64_1389` `associate-*l/_binary64_1385` `unswap-sqr_binary64_1410`
1×	`associate-/r*_binary64_1386` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `sqrt-prod_binary64_1458` `div-sub_binary64_1447`

Counts

4 → 96

Calls

4 calls:

17.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
10.0ms	(.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
8.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
6.0ms	(.f64 3 (.f64 v v))

series383.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

182.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
106.0ms	(.f64 PI.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
77.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
18.0ms	(.f64 3 (.f64 v v))

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5227	3124

prune207.0ms (3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	106	11	117

Error

0.3b

Counts

117 → 11

Compiler

Compiled 4281 to 2791 computations (34.8% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 t)
0.3b	(.f64 (.f64 PI.f64 t) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))
0.4b	(.f64 (.f64 (.f64 PI.f64 t) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 PI.f64 t) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))

rewrite146.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

368×	`associate-*r/_binary64_1384`
228×	`cbrt-div_binary64_1474` `sqrt-div_binary64_1459`
168×	`frac-times_binary64_1452`
142×	`flip3--_binary64_1446` `flip--_binary64_1417`
84×	`associate-*l/_binary64_1385`
80×	`associate-/r/_binary64_1388`
69×	`add-exp-log_binary64_1480`
47×	`add-cbrt-cube_binary64_1478`
41×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
36×	`pow1_binary64_1503`
22×	`pow-prod-down_binary64_1513`
12×	`add-sqr-sqrt_binary64_1464`
11×	`associate-r_binary64_1382`
10×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`cbrt-undiv_binary64_1476` `div-exp_binary64_1493`
5×	`associate-l_binary64_1383`
4×	`cbrt-prod_binary64_1473` `add-log-exp_binary64_1481`
3×	`times-frac_binary64_1448` `associate-/l_binary64_1387` `-commutative_binary64_1373`
2×	`associate-/l/_binary64_1389`
1×	`associate-/r*_binary64_1386` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `sqrt-prod_binary64_1458` `div-sub_binary64_1447` `unswap-sqr_binary64_1410`

Counts

4 → 219

Calls

4 calls:

34.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 PI.f64 t) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
23.0ms	(.f64 (.f64 (.f64 PI.f64 t) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
12.0ms	(.f64 (.f64 PI.f64 t) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))
4.0ms	(*.f64 PI.f64 t)

series534.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

227.0ms	(.f64 (.f64 PI.f64 t) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))
195.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 PI.f64 t) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
98.0ms	(.f64 (.f64 (.f64 PI.f64 t) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))
13.0ms	(*.f64 PI.f64 t)

simplify136.0ms (2%)

Algorithm

1×	egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5004	13158

prune1.1s (16.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	228	3	231
Fresh	3	5	8
Picked	0	1	1
Done	0	2	2
Total	231	11	242

Error

0.3b

Counts

242 → 11

Compiler

Compiled 16148 to 11087 computations (31.3% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
0.5b	(/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2))))
2.3b	(/.f64 (pow.f64 v 4) (.f64 t (.f64 PI.f64 (sqrt.f64 2))))
5.9b	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-exp-log_binary64_1480`
48×	`add-cbrt-cube_binary64_1478`
30×	`prod-exp_binary64_1491`
21×	`div-exp_binary64_1493`
18×	`cbrt-unprod_binary64_1475`
15×	`pow1_binary64_1503`
12×	`cbrt-undiv_binary64_1476`
11×	`times-frac_binary64_1448` `associate-/l_binary64_1387` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442`
6×	`pow-prod-down_binary64_1513` `unpow-prod-down_binary64_1521`
4×	`add-log-exp_binary64_1481`
3×	`associate-/r_binary64_1386` `pow-exp_binary64_1510` `div-inv_binary64_1439` `clear-num_binary64_1441` `1-exp_binary64_1486` `associate-l*_binary64_1383` `rec-exp_binary64_1492` `pow-flip_binary64_1516` `frac-2neg_binary64_1453` `pow-to-exp_binary64_1511`
2×	`sqr-pow_binary64_1414`
1×	`associate-r_binary64_1382` `inv-pow_binary64_1527` `*-commutative_binary64_1373`

Counts

4 → 113

Calls

4 calls:

10.0ms	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))
9.0ms	(/.f64 (pow.f64 v 4) (.f64 t (.f64 PI.f64 (sqrt.f64 2))))
7.0ms	(/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2))))
6.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))

series180.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(/.f64 (pow.f64 v 4) (.f64 t (.f64 PI.f64 (sqrt.f64 2))))
47.0ms	(/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2))))
46.0ms	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))
34.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))

simplify106.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4958	1940
1	4958	1940

prune243.0ms (3.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	4	3	7
Picked	0	1	1
Done	2	1	3
Total	129	7	136

Error

0.0b

Counts

136 → 7

Compiler

Compiled 4641 to 3318 computations (28.5% saved)

regimes615.0ms (9%)

Accuracy

Total 0.5b remaining (96%)

Threshold costs 0.5b (96%)

Compiler

Compiled 9389 to 6968 computations (25.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	107	55
1	107	55

end0.0ms (0%)

sample2.0s (29.3%)

Algorithm

1×

intervals

Results

567.0ms	8000×	body	128	valid
1.0ms	9×	body	128	nan

Compiler

Compiled 1537 to 1149 computations (25.2% saved)

Details

analyze225.0ms (3.3%)

sample27.0ms (0.4%)

simplify54.0ms (0.8%)

prune5.0ms (0.1%)

localize18.0ms (0.3%)

rewrite48.0ms (0.7%)

series307.0ms (4.5%)

simplify58.0ms (0.8%)

prune198.0ms (2.9%)

localize22.0ms (0.3%)

rewrite52.0ms (0.8%)

series383.0ms (5.6%)

simplify62.0ms (0.9%)

prune207.0ms (3%)

localize25.0ms (0.4%)

rewrite146.0ms (2.1%)

series534.0ms (7.8%)

simplify136.0ms (2%)

prune1.1s (16.2%)

localize21.0ms (0.3%)

rewrite44.0ms (0.6%)

series180.0ms (2.6%)

simplify106.0ms (1.5%)

prune243.0ms (3.6%)

regimes615.0ms (9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (29.3%)

Profiling