Details

analyze264.0ms (2.2%)

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)

sample30.0ms (0.2%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4990	40
1	4990	40

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

2 → 1

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.3b	(*.f64 PI.f64 t)
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
0.5b	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))

rewrite309.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
20×	`pow1_binary64_1503`
16×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-*r/_binary64_1384`
14×	`add-sqr-sqrt_binary64_1464`
12×	`sqrt-div_binary64_1459` `associate-l_binary64_1383`
11×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
10×	`pow-prod-down_binary64_1513`
8×	`frac-times_binary64_1452` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `associate-/r/_binary64_1388`
7×	`flip3--_binary64_1446` `flip--_binary64_1417`
6×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
5×	`associate-r_binary64_1382`
4×	`add-log-exp_binary64_1481` `sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408` `associate-*l/_binary64_1385` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
3×	`sqrt-prod_binary64_1458` `-commutative_binary64_1373` `times-frac_binary64_1448` `associate-/l_binary64_1387`
2×	`associate-/l/_binary64_1389` `unswap-sqr_binary64_1410`
1×	`frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386`

Counts

4 → 113

Calls

4 calls:

15.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
14.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
5.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 4540 to 2736 computations (39.7% saved)

series888.0ms (7.3%)

Error

0.1b

Counts

4 → 23

Calls

4 calls:

491.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
285.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
43.0ms	(.f64 5 (.f64 v v))
29.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 2057 to 1603 computations (22.1% saved)

simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4931	4177
1	4931	4177

prune274.0ms (2.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	129	7	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	7	137

Error

0.0b

Counts

137 → 7

Compiler

Compiled 4919 to 2980 computations (39.4% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.2b	(.f64 t (.f64 PI.f64 (pow.f64 v 4)))
5.2b	(.f64 t (.f64 PI.f64 (pow.f64 v 4)))
8.1b	(.f64 t (.f64 PI.f64 (*.f64 v v)))
8.1b	(.f64 t (.f64 (sqrt.f64 2) (.f64 PI.f64 (.f64 v v))))

rewrite352.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

47×	`add-exp-log_binary64_1480`
37×	`add-cbrt-cube_binary64_1478`
31×	`pow1_binary64_1503`
30×	`prod-exp_binary64_1491`
22×	`cbrt-unprod_binary64_1475`
18×	`pow-prod-down_binary64_1513`
12×	`associate-l_binary64_1383`
8×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
4×	`add-log-exp_binary64_1481` `associate-r_binary64_1382` `*-commutative_binary64_1373`
2×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510`

Counts

4 → 83

Calls

4 calls:

14.0ms	(.f64 t (.f64 (sqrt.f64 2) (.f64 PI.f64 (.f64 v v))))
8.0ms	(.f64 t (.f64 PI.f64 (*.f64 v v)))
6.0ms	(.f64 t (.f64 PI.f64 (pow.f64 v 4)))
6.0ms	(.f64 t (.f64 PI.f64 (pow.f64 v 4)))

Compiler

Compiled 5884 to 3613 computations (38.6% saved)

series747.0ms (6.2%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

222.0ms	(.f64 t (.f64 (sqrt.f64 2) (.f64 PI.f64 (.f64 v v))))
164.0ms	(.f64 t (.f64 PI.f64 (pow.f64 v 4)))
159.0ms	(.f64 t (.f64 PI.f64 (pow.f64 v 4)))
133.0ms	(.f64 t (.f64 PI.f64 (*.f64 v v)))

Compiler

Compiled 4608 to 3288 computations (28.6% saved)

simplify138.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4969	1454
1	4969	1454

prune386.0ms (3.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	107	7	114

Error

0.0b

Counts

114 → 7

Compiler

Compiled 7377 to 4685 computations (36.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 6)
0.3b	(*.f64 t PI.f64)
0.5b	(/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
1.0b	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

rewrite430.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

78×	`times-frac_binary64_1448`
54×	`add-exp-log_binary64_1480`
51×	`add-sqr-sqrt_binary64_1464`
48×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
34×	`add-cbrt-cube_binary64_1478`
30×	`sqrt-prod_binary64_1458`
27×	`associate-/l*_binary64_1387`
20×	`div-exp_binary64_1493`
16×	`prod-exp_binary64_1491`
13×	`pow1_binary64_1503`
10×	`cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475`
8×	`associate-/r/_binary64_1388`
7×	`associate-/r*_binary64_1386`
6×	`sqrt-div_binary64_1459` `associate-r_binary64_1382`
4×	`1-exp_binary64_1486` `rec-exp_binary64_1492` `add-log-exp_binary64_1481` `div-inv_binary64_1439` `flip3--_binary64_1446` `flip--_binary64_1417` `pow-prod-down_binary64_1513` `associate-l_binary64_1383`
3×	`pow-flip_binary64_1516`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-l/_binary64_1385` `unswap-sqr_binary64_1410` `-commutative_binary64_1373`
1×	`inv-pow_binary64_1527` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `associate-/l/_binary64_1389`

Counts

4 → 164

Calls

4 calls:

17.0ms	(/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
6.0ms	(.f64 (.f64 v v) 6)
6.0ms	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
4.0ms	(*.f64 t PI.f64)

Compiler

Compiled 6493 to 4019 computations (38.1% saved)

series572.0ms (4.7%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

395.0ms	(/.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
75.0ms	(/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
34.0ms	(.f64 (.f64 v v) 6)
28.0ms	(*.f64 t PI.f64)

Compiler

Compiled 1972 to 1493 computations (24.3% saved)

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4937	4901
1	4937	4901

prune400.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	3	2	5
Picked	0	1	1
Done	1	0	1
Total	186	6	192

Error

0.0b

Counts

192 → 6

Compiler

Compiled 6745 to 4228 computations (37.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 t PI.f64)
0.3b	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
0.5b	(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
1.0b	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

rewrite788.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

91×	`sqrt-prod_binary64_1458`
88×	`times-frac_binary64_1448`
82×	`add-sqr-sqrt_binary64_1464`
66×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
49×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
45×	`associate-l_binary64_1383`
18×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
15×	`associate-r_binary64_1382`
14×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
12×	`associate-/l*_binary64_1387`
8×	`pow1_binary64_1503` `sqrt-div_binary64_1459` `associate-/r/_binary64_1388`
7×	`associate-/r*_binary64_1386`
6×	`flip3--_binary64_1446` `flip--_binary64_1417` `unswap-sqr_binary64_1410`
5×	`associate-*l/_binary64_1385`
4×	`add-log-exp_binary64_1481` `div-inv_binary64_1439` `associate-/l/_binary64_1389`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373`
1×	`sqrt-undiv_binary64_1463` `frac-times_binary64_1452` `associate-*r/_binary64_1384`

Counts

4 → 203

Calls

4 calls:

30.0ms	(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
11.0ms	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
11.0ms	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
4.0ms	(*.f64 t PI.f64)

Compiler

Compiled 11190 to 6906 computations (38.3% saved)

series960.0ms (7.9%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

487.0ms	(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (-.f64 1 (.f64 v v)) (.f64 t PI.f64))))
305.0ms	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (-.f64 1 (.f64 v v)) (*.f64 t PI.f64)))
83.0ms	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
32.0ms	(*.f64 t PI.f64)

Compiler

Compiled 2543 to 1924 computations (24.3% saved)

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5057	9472

prune610.0ms (5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	229	1	230
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	230	6	236

Error

Counts

236 → 6

Compiler

Compiled 10577 to 6515 computations (38.4% saved)

regimes1.4s (11.4%)

Accuracy

Total 0.5b remaining (94%)

Threshold costs 0.5b (94%)

Compiler

Compiled 20566 to 14989 computations (27.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	253	106
1	253	106

end0.0ms (0%)

sample3.1s (25.9%)

Algorithm

1×

intervals

Results

521.0ms	8000×	body	128	valid
1.0ms	15×	body	128	nan

Compiler

Compiled 3641 to 2661 computations (26.9% saved)

Details

analyze264.0ms (2.2%)

sample30.0ms (0.2%)

simplify50.0ms (0.4%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite309.0ms (2.6%)

series888.0ms (7.3%)

simplify94.0ms (0.8%)

prune274.0ms (2.3%)

localize31.0ms (0.3%)

rewrite352.0ms (2.9%)

series747.0ms (6.2%)

simplify138.0ms (1.1%)

prune386.0ms (3.2%)

localize16.0ms (0.1%)

rewrite430.0ms (3.5%)

series572.0ms (4.7%)

simplify96.0ms (0.8%)

prune400.0ms (3.3%)

localize17.0ms (0.1%)

rewrite788.0ms (6.5%)

series960.0ms (7.9%)

simplify117.0ms (1%)

prune610.0ms (5%)

regimes1.4s (11.4%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample3.1s (25.9%)

Profiling