Details

analyze643.0ms (6.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4873	52
1	4873	52
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
3.1%	3.1%	93.8%	2
3.1%	3.1%	93.8%	3
4.7%	1.6%	93.8%	4
4.7%	1.6%	93.8%	5
5.5%	0.8%	93.8%	6
5.5%	0.8%	93.8%	7
5.8%	0.4%	93.8%	8
5.8%	0.4%	93.8%	9
6%	0.2%	93.8%	10
6%	0.2%	93.8%	11
6.1%	0.1%	93.8%	12
6.1%	0.1%	93.8%	13
6.2%	0%	93.8%	14

Compiler

Compiled 28 to 26 computations (7.1% saved)

sample62.0ms (0.6%)

Algorithm

1×

intervals

Results

36.0ms	256×	body	128	valid
8.0ms	256×	pre	128	true

Compiler

Compiled 47 to 47 computations (0% saved)

simplify195.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (188.0ms)

Iter	Nodes	Cost
0	5644	26

prune9.0ms (0.1%)

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 32 to 32 computations (0% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.2b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

rewrite123.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
6×	`add-log-exp_binary64`
5×	`pow-prod-down_binary64`
4×	`prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`sqrt-prod_binary64` `*-commutative_binary64` `sqrt-pow1_binary64`
1×	`unswap-sqr_binary64` `pow1/2_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

8.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
3.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
2.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

Compiler

Compiled 1408 to 1076 computations (23.6% saved)

series594.0ms (6.1%)

Error

0.2b

Counts

4 → 18

Calls

4 calls:

345.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
119.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
82.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
25.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 1008 to 906 computations (10.1% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5116	1290

prune141.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	68	9	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	9	78

Error

Counts

78 → 9

Compiler

Compiled 1810 to 1379 computations (23.8% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.2b	(.f64 (.f64 2 PI.f64) u2)
0.2b	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
0.3b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))

rewrite205.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`pow1_binary64`
19×	`pow-prod-down_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`sqrt-pow1_binary64`
11×	`associate-l_binary64`
10×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
9×	`sqrt-prod_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64`
6×	`pow1/2_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-unprod_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`

Counts

4 → 81

Calls

4 calls:

22.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
15.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
10.0ms	(.f64 (.f64 2 PI.f64) u2)
3.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

Compiler

Compiled 2102 to 1702 computations (19% saved)

series474.0ms (4.9%)

Error

Counts

4 → 12

Calls

4 calls:

189.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
136.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
87.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
45.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 783 to 743 computations (5.1% saved)

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5026	1122

prune161.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	94	8	102

Error

Counts

102 → 8

Compiler

Compiled 2265 to 1821 computations (19.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.2b	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
0.2b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

rewrite110.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`pow1_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64`
6×	`prod-exp_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
3×	`sqrt-pow1_binary64`
2×	`associate-l_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-prod_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

5.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
5.0ms	(.f64 (.f64 2 PI.f64) u2)
4.0ms	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
3.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))

Compiler

Compiled 1397 to 1070 computations (23.4% saved)

series526.0ms (5.4%)

Error

Counts

4 → 18

Calls

4 calls:

299.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
85.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
84.0ms	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
37.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 923 to 821 computations (11.1% saved)

simplify104.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4887	1115
1	4887	1115

prune120.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	2	4	6
Picked	1	0	1
Done	1	0	1
Total	79	6	85

Error

Counts

85 → 6

Compiler

Compiled 1613 to 1196 computations (25.9% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(log.f64 (pow.f64 u1 -1/18))
0.2b	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
0.2b	(.f64 (.f64 2 PI.f64) u2)
2.7b	(pow.f64 u1 -1/18)

rewrite130.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-exp-log_binary64`
11×	`add-sqr-sqrt_binary64` `pow1_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
7×	`log-prod_binary64`
6×	`unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `sqrt-prod_binary64`
3×	`pow-unpow_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `rem-log-exp_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `log-pow_binary64`
1×	`pow-pow_binary64` `associate-l_binary64` `*-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 67

Calls

4 calls:

9.0ms	(.f64 (.f64 2 PI.f64) u2)
5.0ms	(pow.f64 u1 -1/18)
4.0ms	(log.f64 (pow.f64 u1 -1/18))
2.0ms	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))

Compiler

Compiled 1279 to 1011 computations (21% saved)

series453.0ms (4.7%)

Error

Counts

4 → 12

Calls

4 calls:

153.0ms	(log.f64 (pow.f64 u1 -1/18))
150.0ms	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
102.0ms	(pow.f64 u1 -1/18)
37.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 591 to 556 computations (5.9% saved)

simplify127.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4755	671
1	4755	671

prune109.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	79	6	85

Error

Counts

85 → 6

Compiler

Compiled 1349 to 1024 computations (24.1% saved)

regimes1.6s (16.1%)

Accuracy

Total 0.2b remaining (99.3%)

Threshold costs 0.2b (99.3%)

Compiler

Compiled 13749 to 13170 computations (4.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	23
1	20	23

end0.0ms (0%)

sample3.6s (37.1%)

Algorithm

1×

intervals

Results

981.0ms	8000×	body	128	valid
276.0ms	8000×	pre	128	true

Compiler

Compiled 1316 to 1260 computations (4.3% saved)

Details

analyze643.0ms (6.6%)

sample62.0ms (0.6%)

simplify195.0ms (2%)

prune9.0ms (0.1%)

localize14.0ms (0.1%)

rewrite123.0ms (1.3%)

series594.0ms (6.1%)

simplify71.0ms (0.7%)

prune141.0ms (1.4%)

localize27.0ms (0.3%)

rewrite205.0ms (2.1%)

series474.0ms (4.9%)

simplify105.0ms (1.1%)

prune161.0ms (1.7%)

localize15.0ms (0.2%)

rewrite110.0ms (1.1%)

series526.0ms (5.4%)

simplify104.0ms (1.1%)

prune120.0ms (1.2%)

localize29.0ms (0.3%)

rewrite130.0ms (1.3%)

series453.0ms (4.7%)

simplify127.0ms (1.3%)

prune109.0ms (1.1%)

regimes1.6s (16.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.6s (37.1%)

Profiling