Details

analyze582.0ms (3.4%)

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)

sample54.0ms (0.3%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
14.0ms	256×	pre	128	true

Compiler

Compiled 47 to 47 computations (0% saved)

simplify154.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	5644	26

prune8.0ms (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 32 to 32 computations (0% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite150.0ms (0.9%)

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 1317 to 1005 computations (23.7% saved)

series826.0ms (4.9%)

Error

0.2b

Counts

4 → 18

Calls

4 calls:

482.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
151.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
124.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
44.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 888 to 816 computations (8.1% saved)

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5116	1290

prune139.0ms (0.8%)

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

0.0b

Counts

78 → 9

Compiler

Compiled 1430 to 1097 computations (23.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.3b	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
0.4b	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))

rewrite208.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`sqrt-prod_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`pow1_binary64`
19×	`associate-l_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`associate-r_binary64`
9×	`pow-prod-down_binary64`
8×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `log-pow_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `*-commutative_binary64`
2×	`neg-mul-1_binary64`
1×	`sqrt-unprod_binary64` `rem-sqrt-square_binary64`

Counts

4 → 97

Calls

4 calls:

10.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))
8.0ms	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
2.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))

Compiler

Compiled 1900 to 1241 computations (34.7% saved)

series462.0ms (2.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

156.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))
154.0ms	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
97.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
46.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 539 to 527 computations (2.2% saved)

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4949	1396
1	4949	1396

prune162.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	110	8	118

Error

Counts

118 → 8

Compiler

Compiled 1743 to 1200 computations (31.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 2 (.f64 u2 PI.f64))) (cbrt.f64 (.f64 2 (*.f64 u2 PI.f64))))
0.7b	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))
0.7b	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))
0.7b	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))

rewrite200.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 2 (.f64 u2 PI.f64))) (cbrt.f64 (.f64 2 (*.f64 u2 PI.f64))))
4.0ms	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))
4.0ms	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))
4.0ms	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))

Compiler

Compiled 2116 to 1319 computations (37.7% saved)

series828.0ms (4.9%)

Error

Counts

4 → 12

Calls

4 calls:

250.0ms	(.f64 (cbrt.f64 (.f64 2 (.f64 u2 PI.f64))) (cbrt.f64 (.f64 2 (*.f64 u2 PI.f64))))
189.0ms	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))
178.0ms	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))
176.0ms	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))

Compiler

Compiled 1407 to 1164 computations (17.3% saved)

simplify148.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	5099	800

prune166.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	70	8	78

Error

Counts

78 → 8

Compiler

Compiled 1982 to 1301 computations (34.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 2 (.f64 u2 PI.f64))) (cbrt.f64 (.f64 2 (*.f64 u2 PI.f64))))
0.7b	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))
0.7b	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))
0.7b	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))

rewrite187.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 2 (.f64 u2 PI.f64))) (cbrt.f64 (.f64 2 (*.f64 u2 PI.f64))))
4.0ms	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))
4.0ms	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))
4.0ms	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))

Compiler

Compiled 2008 to 1317 computations (34.4% saved)

series844.0ms (5%)

Error

Counts

4 → 12

Calls

4 calls:

249.0ms	(.f64 (cbrt.f64 (.f64 2 (.f64 u2 PI.f64))) (cbrt.f64 (.f64 2 (*.f64 u2 PI.f64))))
192.0ms	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))
189.0ms	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))
179.0ms	(cbrt.f64 (.f64 2 (.f64 u2 PI.f64)))

Compiler

Compiled 1335 to 1114 computations (16.6% saved)

simplify154.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	5099	800

prune149.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	70	8	78

Error

Counts

78 → 8

Compiler

Compiled 1677 to 1120 computations (33.2% saved)

regimes9.6s (56.5%)

Accuracy

Total 0.3b remaining (96.6%)

Threshold costs 0.3b (96.6%)

Compiler

Compiled 111532 to 96509 computations (13.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	51
1	38	51

end3.0ms (0%)

Compiler: Compiled 30 to 27 computations (10% saved)

sample1.8s (10.4%)

Algorithm

1×

intervals

Results

896.0ms	8000×	body	128	valid
213.0ms	8000×	pre	128	true

Compiler

Compiled 297 to 270 computations (9.1% saved)

Details

analyze582.0ms (3.4%)

sample54.0ms (0.3%)

simplify154.0ms (0.9%)

prune8.0ms (0%)

localize15.0ms (0.1%)

rewrite150.0ms (0.9%)

series826.0ms (4.9%)

simplify67.0ms (0.4%)

prune139.0ms (0.8%)

localize19.0ms (0.1%)

rewrite208.0ms (1.2%)

series462.0ms (2.7%)

simplify53.0ms (0.3%)

prune162.0ms (1%)

localize20.0ms (0.1%)

rewrite200.0ms (1.2%)

series828.0ms (4.9%)

simplify148.0ms (0.9%)

prune166.0ms (1%)

localize18.0ms (0.1%)

rewrite187.0ms (1.1%)

series844.0ms (5%)

simplify154.0ms (0.9%)

prune149.0ms (0.9%)

regimes9.6s (56.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end3.0ms (0%)

sample1.8s (10.4%)

Profiling