Details

analyze769.0ms (15.7%)

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)

sample61.0ms (1.3%)

Algorithm

1×

intervals

Results

34.0ms	120×	body	2048	valid
13.0ms	68×	body	1024	valid
4.0ms	31×	body	512	valid
2.0ms	17×	body	256	valid
1.0ms	20×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify166.0ms (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

Error

0.7b

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 1 (.f64 5 (.f64 v v)))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_1464`
20×	`*-un-lft-identity_binary64_1442`
18×	`times-frac_binary64_1448`
16×	`add-cube-cbrt_binary64_1477`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
9×	`pow1_binary64_1503`
8×	`difference-of-squares_binary64_1411`
6×	`associate-/r*_binary64_1386` `add-log-exp_binary64_1481`
4×	`difference-of-sqr-1_binary64_1412`
3×	`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` `cancel-sign-sub-inv_binary64_1408` `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 → 83

Calls

4 calls:

8.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
3.0ms	(-.f64 1 (.f64 5 (.f64 v v)))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series99.0ms (2%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(-.f64 1 (.f64 5 (.f64 v v)))
29.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
18.0ms	(.f64 5 (.f64 v v))
14.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5495	1994

prune107.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	91	4	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	4	96

Error

0.7b

Counts

96 → 4

Compiler

Compiled 2073 to 1332 computations (35.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (.f64 (.f64 5 v) v))
0.0b	(/.f64 (-.f64 1 (.f64 (.f64 5 v) v)) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 (.f64 5 v) v)
0.7b	(acos.f64 (/.f64 (-.f64 1 (.f64 (.f64 5 v) v)) (-.f64 (*.f64 v v) 1)))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
18×	`times-frac_binary64_1448`
16×	`add-cube-cbrt_binary64_1477`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
9×	`pow1_binary64_1503`
8×	`difference-of-squares_binary64_1411`
6×	`associate-/r*_binary64_1386` `add-log-exp_binary64_1481`
4×	`difference-of-sqr-1_binary64_1412`
3×	`associate-r_binary64_1382` `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` `cancel-sign-sub-inv_binary64_1408` `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 → 82

Calls

4 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 (.f64 5 v) v)) (-.f64 (*.f64 v v) 1))
5.0ms	(.f64 (.f64 5 v) v)
3.0ms	(-.f64 1 (.f64 (.f64 5 v) v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 (.f64 5 v) v)) (-.f64 (*.f64 v v) 1)))

series97.0ms (2%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(-.f64 1 (.f64 (.f64 5 v) v))
30.0ms	(/.f64 (-.f64 1 (.f64 (.f64 5 v) v)) (-.f64 (*.f64 v v) 1))
17.0ms	(.f64 (.f64 5 v) v)
12.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 (.f64 5 v) v)) (-.f64 (*.f64 v v) 1)))

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5176	1983

prune101.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	94	4	98

Error

0.7b

Counts

98 → 4

Compiler

Compiled 2039 to 1417 computations (30.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.7b	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))
3.5b	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64_1442`
51×	`add-sqr-sqrt_binary64_1464`
42×	`times-frac_binary64_1448`
30×	`difference-of-squares_binary64_1411`
21×	`add-cube-cbrt_binary64_1477`
17×	`pow1_binary64_1503`
14×	`distribute-lft-out--_binary64_1394`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
10×	`log-pow_binary64_1531`
8×	`difference-of-sqr-1_binary64_1412`
7×	`associate-/l*_binary64_1387`
6×	`associate-/r*_binary64_1386`
5×	`add-log-exp_binary64_1481`
3×	`log-prod_binary64_1528` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `flip3--_binary64_1446` `flip--_binary64_1417`
1×	`associate-r_binary64_1382` `acos-asin_binary64_1623` `cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `rem-log-exp_binary64_1483` `*-commutative_binary64_1373` `exp-prod_binary64_1494` `frac-2neg_binary64_1453` `exp-to-pow_binary64_1504` `div-sub_binary64_1447` `div-exp_binary64_1493` `unswap-sqr_binary64_1410`

Counts

4 → 113

Calls

4 calls:

12.0ms	(/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
2.0ms	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))

series171.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(log.f64 (exp.f64 (.f64 5 (.f64 v v))))
57.0ms	(/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1))
17.0ms	(.f64 5 (.f64 v v))
13.0ms	(acos.f64 (/.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 5 (.f64 v v))))) (-.f64 (*.f64 v v) 1)))

simplify87.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4895	2905
1	4895	2905

prune137.0ms (2.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	125	4	129

Error

0.7b

Counts

129 → 4

Compiler

Compiled 2855 to 1861 computations (34.8% 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)))))
0.1b	(.f64 5 (.f64 v v))
0.7b	(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)))

series319.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
126.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
17.0ms	(.f64 5 (.f64 v v))
12.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5558	1284

prune76.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	66	4	70

Error

0.7b

Counts

70 → 4

Compiler

Compiled 1387 to 908 computations (34.5% saved)

regimes151.0ms (3.1%)

Accuracy

Total 0.0b remaining (2.2%)

Threshold costs 0.0b (2.2%)

Compiler

Compiled 2102 to 1514 computations (28% 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%)

sample2.2s (45.4%)

Algorithm

1×

intervals

Results

1.1s	3974×	body	2048	valid
406.0ms	2036×	body	1024	valid
137.0ms	989×	body	512	valid
46.0ms	485×	body	256	valid
27.0ms	514×	body	128	valid
1.0ms	2×	body	4096	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 334 to 245 computations (26.6% saved)

Details

analyze769.0ms (15.7%)

sample61.0ms (1.3%)

simplify166.0ms (3.4%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite25.0ms (0.5%)

series99.0ms (2%)

simplify66.0ms (1.3%)

prune107.0ms (2.2%)

localize9.0ms (0.2%)

rewrite25.0ms (0.5%)

series97.0ms (2%)

simplify62.0ms (1.3%)

prune101.0ms (2.1%)

localize9.0ms (0.2%)

rewrite32.0ms (0.7%)

series171.0ms (3.5%)

simplify87.0ms (1.8%)

prune137.0ms (2.8%)

localize11.0ms (0.2%)

rewrite14.0ms (0.3%)

series319.0ms (6.5%)

simplify59.0ms (1.2%)

prune76.0ms (1.6%)

regimes151.0ms (3.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.2s (45.4%)

Profiling