Details

analyze764.0ms (16.1%)

Algorithm

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)

sample66.0ms (1.4%)

Algorithm

1×

intervals

Results

38.0ms	121×	body	2048	valid
14.0ms	70×	body	1024	valid
4.0ms	27×	body	512	valid
2.0ms	19×	body	256	valid
1.0ms	19×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify160.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

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

Merged error: 0.6b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 v v) 1)
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1464`
22×	`*-un-lft-identity_binary64_1442`
18×	`times-frac_binary64_1448`
17×	`add-cube-cbrt_binary64_1477`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
10×	`difference-of-squares_binary64_1411`
9×	`pow1_binary64_1503`
6×	`associate-/r*_binary64_1386` `add-log-exp_binary64_1481`
5×	`difference-of-sqr-1_binary64_1412`
3×	`cancel-sign-sub-inv_binary64_1408` `cbrt-unprod_binary64_1475` `associate-/l_binary64_1387` `flip3--_binary64_1446` `associate-l*_binary64_1383` `pow-prod-down_binary64_1513` `flip--_binary64_1417` `prod-exp_binary64_1491`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
1×	`associate-r_binary64_1382` `acos-asin_binary64_1623` `cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `sub-neg_binary64_1435` `clear-num_binary64_1441` `*-commutative_binary64_1373` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `div-sub_binary64_1447` `div-exp_binary64_1493` `unswap-sqr_binary64_1410`

Counts

4 → 88

Calls

4 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
5.0ms	(-.f64 (*.f64 v v) 1)
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series82.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
23.0ms	(-.f64 (*.f64 v v) 1)
17.0ms	(.f64 5 (.f64 v v))
13.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5462	1955

prune107.0ms (2.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	4	101

Merged error: 0.6b

Counts

101 → 4

Compiler

Compiled 2132 to 1365 computations (36% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 v v) 1)
0.0b	(/.f64 (-.f64 1 (.f64 (.f64 5 v) v)) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 (.f64 5 v) v)
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 (.f64 5 v) v)) (-.f64 (*.f64 v v) 1)))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
18×	`times-frac_binary64_1448`
17×	`add-cube-cbrt_binary64_1477`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
10×	`difference-of-squares_binary64_1411`
9×	`pow1_binary64_1503`
6×	`associate-/r*_binary64_1386` `add-log-exp_binary64_1481`
5×	`difference-of-sqr-1_binary64_1412`
3×	`associate-r_binary64_1382` `cancel-sign-sub-inv_binary64_1408` `cbrt-unprod_binary64_1475` `associate-/l*_binary64_1387` `flip3--_binary64_1446` `pow-prod-down_binary64_1513` `flip--_binary64_1417` `prod-exp_binary64_1491`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
1×	`acos-asin_binary64_1623` `cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `sub-neg_binary64_1435` `clear-num_binary64_1441` `associate-l_binary64_1383` `*-commutative_binary64_1373` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `div-sub_binary64_1447` `div-exp_binary64_1493`

Counts

4 → 87

Calls

4 calls:

8.0ms	(/.f64 (-.f64 1 (.f64 (.f64 5 v) v)) (-.f64 (*.f64 v v) 1))
5.0ms	(.f64 (.f64 5 v) v)
4.0ms	(-.f64 (*.f64 v v) 1)
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 (.f64 5 v) v)) (-.f64 (*.f64 v v) 1)))

series86.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(/.f64 (-.f64 1 (.f64 (.f64 5 v) v)) (-.f64 (*.f64 v v) 1))
24.0ms	(-.f64 (*.f64 v v) 1)
17.0ms	(.f64 (.f64 5 v) v)
13.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 (.f64 5 v) v)) (-.f64 (*.f64 v v) 1)))

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4985	1946
1	4985	1946

prune103.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	99	4	103

Merged error: 0.6b

Counts

103 → 4

Compiler

Compiled 2099 to 1456 computations (30.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.0b	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
0.2b	(.f64 5 (.f64 v v))
0.6b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_1503`
10×	`add-exp-log_binary64_1480`
9×	`add-cbrt-cube_binary64_1478` `add-sqr-sqrt_binary64_1464`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`log-prod_binary64_1528`
4×	`add-log-exp_binary64_1481` `exp-prod_binary64_1494`
3×	`cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `exp-sum_binary64_1488`
2×	`log-pow_binary64_1531`
1×	`associate-r_binary64_1382` `acos-asin_binary64_1623` `rem-exp-log_binary64_1482` `rem-log-exp_binary64_1483` `*-commutative_binary64_1373` `unswap-sqr_binary64_1410`

Counts

4 → 54

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
2.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series309.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
129.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
20.0ms	(.f64 5 (.f64 v v))
12.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5558	1284

prune76.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	66	4	70

Merged error: 0.6b

Counts

70 → 4

Compiler

Compiled 1486 to 979 computations (34.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 v (.f64 (+.f64 (pow.f64 v 3) v) 4))
0.6b	(acos.f64 (+.f64 -1 (.f64 v (.f64 (+.f64 (pow.f64 v 3) v) 4))))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
3×	`cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `pow-prod-down_binary64_1513` `add-sqr-sqrt_binary64_1464` `prod-exp_binary64_1491` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
2×	`associate-r/_binary64_1384` `add-log-exp_binary64_1481` `associate-l/_binary64_1385`
1×	`associate-r_binary64_1382` `acos-asin_binary64_1623` `*-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

2 → 28

Calls

2 calls:

10.0ms	(.f64 v (.f64 (+.f64 (pow.f64 v 3) v) 4))
1.0ms	(acos.f64 (+.f64 -1 (.f64 v (.f64 (+.f64 (pow.f64 v 3) v) 4))))

series82.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

70.0ms	(.f64 v (.f64 (+.f64 (pow.f64 v 3) v) 4))
12.0ms	(acos.f64 (+.f64 -1 (.f64 v (.f64 (+.f64 (pow.f64 v 3) v) 4))))

simplify83.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4957	570
1	4957	570

prune35.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	34	4	38

Merged error: 0.6b

Counts

38 → 4

Compiler

Compiled 565 to 435 computations (23% saved)

regimes189.0ms (4%)

Compiler: Compiled 2735 to 1965 computations (28.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	21
1	71	21

end0.0ms (0%)

sample2.3s (48.1%)

Algorithm

1×

intervals

Results

1.1s	3955×	body	2048	valid
392.0ms	2004×	body	1024	valid
138.0ms	981×	body	512	valid
49.0ms	521×	body	256	valid
28.0ms	538×	body	128	valid
0.0ms	1×	body	4096	valid
0.0ms	8×	body	128	nan

Compiler

Compiled 442 to 324 computations (26.7% saved)

Details

analyze764.0ms (16.1%)

sample66.0ms (1.4%)

simplify160.0ms (3.4%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite31.0ms (0.7%)

series82.0ms (1.7%)

simplify66.0ms (1.4%)

prune107.0ms (2.3%)

localize8.0ms (0.2%)

rewrite27.0ms (0.6%)

series86.0ms (1.8%)

simplify63.0ms (1.3%)

prune103.0ms (2.2%)

localize11.0ms (0.2%)

rewrite14.0ms (0.3%)

series309.0ms (6.5%)

simplify61.0ms (1.3%)

prune76.0ms (1.6%)

localize8.0ms (0.2%)

rewrite13.0ms (0.3%)

series82.0ms (1.7%)

simplify83.0ms (1.7%)

prune35.0ms (0.7%)

regimes189.0ms (4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.3s (48.1%)

Profiling