Details

analyze555.0ms (7.8%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5194	40
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	6
31.2%	50%	18.8%	7
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14
53.3%	6.1%	40.6%	14

Compiler

Compiled 40 to 24 computations (40% saved)

sample639.0ms (8.9%)

Algorithm

2×

intervals

Results

24.0ms	512×	body	128	valid
20.0ms	406×	body	128	invalid

Compiler

Compiled 8999 to 6297 computations (30% saved)

simplify178.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4915	20
1	4915	20

prune5.0ms (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

0.1b

Counts

2 → 2

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
0.2b	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
0.3b	(.f64 (.f64 x.re x.im) 3)

rewrite104.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
12×	`cancel-sign-sub-inv_binary64_3454`
9×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
8×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
5×	`add-log-exp_binary64_3527`
4×	`associate-l_binary64_3429` `associate-r_binary64_3428`
3×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
2×	`*-commutative_binary64_3419`
1×	`diff-log_binary64_3580` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463` `unpow3_binary64_3554` `cube-mult_binary64_3518` `sqr-pow_binary64_3460`

Counts

3 → 62

Calls

3 calls:

12.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
6.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
5.0ms	(.f64 (.f64 x.re x.im) 3)

Compiler

Compiled 1135 to 665 computations (41.4% saved)

series426.0ms (5.9%)

Error

0.1b

Counts

3 → 24

Calls

3 calls:

224.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
99.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
83.0ms	(.f64 (.f64 x.re x.im) 3)

Compiler

Compiled 666 to 549 computations (17.6% saved)

simplify103.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4911	1162
1	4911	1162

prune93.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	81	7	88

Error

0.0b

Counts

88 → 7

Compiler

Compiled 1263 to 870 computations (31.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
0.2b	(.f64 x.re (.f64 x.re (*.f64 3 x.im)))
0.2b	(.f64 x.re (.f64 3 x.im))

rewrite96.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
12×	`cancel-sign-sub-inv_binary64_3454`
9×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
8×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
6×	`associate-l_binary64_3429`
5×	`add-log-exp_binary64_3527`
3×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
2×	`associate-r_binary64_3428` `*-commutative_binary64_3419`
1×	`diff-log_binary64_3580` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463` `unpow3_binary64_3554` `cube-mult_binary64_3518` `sqr-pow_binary64_3460`

Counts

3 → 62

Calls

3 calls:

10.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
6.0ms	(.f64 x.re (.f64 x.re (*.f64 3 x.im)))
5.0ms	(.f64 x.re (.f64 3 x.im))

Compiler

Compiled 1135 to 736 computations (35.2% saved)

series456.0ms (6.4%)

Error

0.0b

Counts

3 → 24

Calls

3 calls:

238.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
113.0ms	(.f64 x.re (.f64 x.re (*.f64 3 x.im)))
87.0ms	(.f64 x.re (.f64 3 x.im))

Compiler

Compiled 666 to 549 computations (17.6% saved)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4914	1160
1	4914	1160

prune87.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Error

0.0b

Counts

93 → 8

Compiler

Compiled 1266 to 887 computations (29.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 (.f64 (.f64 x.im x.re) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))) (pow.f64 x.im 3))
0.2b	(.f64 x.re (.f64 (.f64 (.f64 x.im x.re) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
0.2b	(.f64 (.f64 x.im x.re) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.3b	(.f64 (.f64 (.f64 x.im x.re) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite235.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

59×	`pow1_binary64_3549` `add-exp-log_binary64_3526`
40×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521`
37×	`add-cbrt-cube_binary64_3524`
12×	`cancel-sign-sub-inv_binary64_3454`
10×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
8×	`associate-r_binary64_3428`
6×	`add-log-exp_binary64_3527`
5×	`associate-l_binary64_3429`
3×	`cbrt-prod_binary64_3519` `*-commutative_binary64_3419` `unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
1×	`diff-log_binary64_3580` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463` `unpow3_binary64_3554` `cube-mult_binary64_3518` `sqr-pow_binary64_3460`

Counts

4 → 105

Calls

4 calls:

17.0ms	(-.f64 (.f64 x.re (.f64 (.f64 (.f64 x.im x.re) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))) (pow.f64 x.im 3))
15.0ms	(.f64 x.re (.f64 (.f64 (.f64 x.im x.re) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
14.0ms	(.f64 (.f64 (.f64 x.im x.re) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
13.0ms	(.f64 (.f64 x.im x.re) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

Compiler

Compiled 2811 to 2008 computations (28.6% saved)

series1.1s (15.5%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

402.0ms	(-.f64 (.f64 x.re (.f64 (.f64 (.f64 x.im x.re) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))) (pow.f64 x.im 3))
260.0ms	(.f64 x.re (.f64 (.f64 (.f64 x.im x.re) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
230.0ms	(.f64 (.f64 (.f64 x.im x.re) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
191.0ms	(.f64 (.f64 x.im x.re) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

Compiler

Compiled 1152 to 992 computations (13.9% saved)

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5167	1888

prune151.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	136	7	143

Error

0.0b

Counts

143 → 7

Compiler

Compiled 2235 to 1667 computations (25.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
0.6b	(cbrt.f64 x.re)
0.6b	(cbrt.f64 x.re)
0.6b	(cbrt.f64 x.re)

rewrite103.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_3519`
23×	`add-sqr-sqrt_binary64_3510`
15×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`pow1_binary64_3549`
9×	`pow1/3_binary64_3570`
6×	`add-exp-log_binary64_3526` `swap-sqr_binary64_3455` `associate-l_binary64_3429` `associate-r_binary64_3428`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `unswap-sqr_binary64_3456`
2×	`pow-prod-down_binary64_3559` `pow-prod-up_binary64_3558` `pow-sqr_binary64_3461`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `*-commutative_binary64_3419`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
1.0ms	(cbrt.f64 x.re)
1.0ms	(cbrt.f64 x.re)
1.0ms	(cbrt.f64 x.re)

Compiler

Compiled 1670 to 744 computations (55.4% saved)

series494.0ms (6.9%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

140.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
118.0ms	(cbrt.f64 x.re)
114.0ms	(cbrt.f64 x.re)
109.0ms	(cbrt.f64 x.re)

Compiler

Compiled 735 to 538 computations (26.8% saved)

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4874	647
1	4874	647

prune99.0ms (1.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	85	7	92

Error

0.0b

Counts

92 → 7

Compiler

Compiled 1743 to 901 computations (48.3% saved)

regimes225.0ms (3.2%)

Accuracy

Total 0.2b remaining (97.9%)

Threshold costs 0.2b (97.9%)

Compiler

Compiled 2004 to 1560 computations (22.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms (0%)

sample1.7s (24%)

Algorithm

1×

intervals

Results

361.0ms	8000×	body	128	valid
290.0ms	6423×	body	128	invalid

Compiler

Compiled 702 to 544 computations (22.5% saved)

Details

analyze555.0ms (7.8%)

sample639.0ms (8.9%)

simplify178.0ms (2.5%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

rewrite104.0ms (1.4%)

series426.0ms (5.9%)

simplify103.0ms (1.4%)

prune93.0ms (1.3%)

localize8.0ms (0.1%)

rewrite96.0ms (1.3%)

series456.0ms (6.4%)

simplify74.0ms (1%)

prune87.0ms (1.2%)

localize11.0ms (0.2%)

rewrite235.0ms (3.3%)

series1.1s (15.5%)

simplify78.0ms (1.1%)

prune151.0ms (2.1%)

localize12.0ms (0.2%)

rewrite103.0ms (1.4%)

series494.0ms (6.9%)

simplify82.0ms (1.1%)

prune99.0ms (1.4%)

regimes225.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (24%)

Profiling