Details

analyze343.0ms (14.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	40
1	134	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (+.f64 z x))
0.0b	(+.f64 x (*.f64 y (+.f64 z x)))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
4×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `associate-r_binary64_3428` `add-cube-cbrt_binary64_3523` `add-log-exp_binary64_3527` `pow1_binary64_3549`
3×	`associate-l_binary64_3429`
2×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-+r+_binary64_3420` `associate-*r/_binary64_3430`
1×	`distribute-lft-out_binary64_3439` `unswap-sqr_binary64_3456` `cbrt-unprod_binary64_3521` `+-commutative_binary64_3418` `pow-prod-down_binary64_3559` `*-commutative_binary64_3419` `sum-log_binary64_3579` `prod-exp_binary64_3537`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 y (+.f64 z x))
4.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

series50.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
25.0ms	(*.f64 y (+.f64 z x))

simplify70.0ms (3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4985	467
1	4985	467

prune32.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Error

0.0b

Counts

43 → 5

Compiler

Compiled 543 to 160 computations (70.5% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (.f64 y (+.f64 x z))) (cbrt.f64 (*.f64 y (+.f64 x z))))
3.1b	(cbrt.f64 (*.f64 y (+.f64 x z)))
3.1b	(cbrt.f64 (*.f64 y (+.f64 x z)))
3.1b	(cbrt.f64 (*.f64 y (+.f64 x z)))

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_3430`
18×	`cbrt-div_binary64_3520`
11×	`pow1_binary64_3549`
10×	`add-sqr-sqrt_binary64_3510`
9×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `pow1/3_binary64_3570`
8×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
7×	`cbrt-prod_binary64_3519`
6×	`add-exp-log_binary64_3526`
4×	`swap-sqr_binary64_3455` `add-cbrt-cube_binary64_3524` `associate-l_binary64_3429` `frac-times_binary64_3498` `associate-r_binary64_3428` `add-log-exp_binary64_3527`
2×	`associate-*l/_binary64_3431` `pow-prod-up_binary64_3558` `pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
1×	`unswap-sqr_binary64_3456` `cbrt-unprod_binary64_3521` `pow2_binary64_3569` `pow-plus_binary64_3551` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 x z))) (cbrt.f64 (*.f64 y (+.f64 x z))))
5.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))
4.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))
4.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))

series483.0ms (20.6%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 x z))) (cbrt.f64 (*.f64 y (+.f64 x z))))
108.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))
108.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))
107.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))

simplify73.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4914	1167
1	4914	1167

prune70.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Error

0.0b

Counts

89 → 5

Compiler

Compiled 2143 to 458 computations (78.6% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (+.f64 x z))
0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
0.3b	(pow.f64 (*.f64 y (+.f64 x z)) 3)
33.3b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

rewrite25.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_3488`
10×	`add-sqr-sqrt_binary64_3510`
9×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `pow1_binary64_3549`
8×	`cbrt-prod_binary64_3519` `add-cube-cbrt_binary64_3523`
6×	`associate-*r/_binary64_3430` `add-log-exp_binary64_3527`
4×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-r_binary64_3428` `cube-div_binary64_3517`
3×	`associate-l_binary64_3429` `pow-unpow_binary64_3565`
2×	`pow-exp_binary64_3556` `unpow3_binary64_3554` `distribute-lft-out_binary64_3439` `rem-cube-cbrt_binary64_3511` `unpow-prod-down_binary64_3567` `cbrt-unprod_binary64_3521` `cube-prod_binary64_3516` `pow-prod-down_binary64_3559` `sqr-pow_binary64_3460` `cube-mult_binary64_3518` `cbrt-div_binary64_3520` `pow-pow_binary64_3560` `prod-exp_binary64_3537`
1×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `unswap-sqr_binary64_3456` `+-commutative_binary64_3418` `pow-to-exp_binary64_3557` `rem-cbrt-cube_binary64_3512` `*-commutative_binary64_3419` `sum-log_binary64_3579` `pow1/3_binary64_3570`

Counts

4 → 78

Calls

4 calls:

6.0ms	(*.f64 y (+.f64 x z))
6.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
5.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
2.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

series128.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
28.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))
26.0ms	(*.f64 y (+.f64 x z))
25.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))

simplify34.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5252	1063

prune61.0ms (2.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	90	5	95

Error

0.0b

Counts

95 → 5

Compiler

Compiled 1270 to 489 computations (61.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (+.f64 x z) (sqrt.f64 y))))
0.1b	(.f64 (sqrt.f64 y) (.f64 (+.f64 x z) (sqrt.f64 y)))
0.1b	(*.f64 (+.f64 x z) (sqrt.f64 y))

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_3510`
10×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `associate-l_binary64_3429` `*-un-lft-identity_binary64_3488` `pow1_binary64_3549`
8×	`add-cube-cbrt_binary64_3523`
7×	`associate-r_binary64_3428` `sqrt-prod_binary64_3504`
5×	`add-log-exp_binary64_3527`
4×	`associate-*l/_binary64_3431` `cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `prod-exp_binary64_3537`
3×	`flip-+_binary64_3462` `flip3-+_binary64_3491`
2×	`unswap-sqr_binary64_3456` `associate-r/_binary64_3430` `-commutative_binary64_3419`
1×	`distribute-lft-out_binary64_3439` `+-commutative_binary64_3418` `sum-log_binary64_3579`

Counts

3 → 59

Calls

3 calls:

12.0ms	(.f64 (sqrt.f64 y) (.f64 (+.f64 x z) (sqrt.f64 y)))
8.0ms	(*.f64 (+.f64 x z) (sqrt.f64 y))
3.0ms	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (+.f64 x z) (sqrt.f64 y))))

series122.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

46.0ms	(+.f64 x (.f64 (sqrt.f64 y) (.f64 (+.f64 x z) (sqrt.f64 y))))
39.0ms	(*.f64 (+.f64 x z) (sqrt.f64 y))
37.0ms	(.f64 (sqrt.f64 y) (.f64 (+.f64 x z) (sqrt.f64 y)))

simplify64.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5056	862

prune40.0ms (1.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	68	5	73

Error

0.0b

Counts

73 → 5

Compiler

Compiled 984 to 252 computations (74.4% saved)

regimes77.0ms (3.3%)

Accuracy

Total 0.0b remaining (64.9%)

Threshold costs 0.0b (64.9%)

Compiler

Compiled 608 to 402 computations (33.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample555.0ms (23.6%)

Algorithm

1×

intervals

Results

192.0ms	8000×	body	128	valid
16.0ms	554×	body	128	invalid

Compiler

Compiled 162 to 109 computations (32.7% saved)

Details

analyze343.0ms (14.6%)

sample14.0ms (0.6%)

simplify8.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite12.0ms (0.5%)

series50.0ms (2.1%)

simplify70.0ms (3%)

prune32.0ms (1.4%)

localize8.0ms (0.4%)

rewrite28.0ms (1.2%)

series483.0ms (20.6%)

simplify73.0ms (3.1%)

prune70.0ms (3%)

localize7.0ms (0.3%)

rewrite25.0ms (1%)

series128.0ms (5.5%)

simplify34.0ms (1.5%)

prune61.0ms (2.6%)

localize7.0ms (0.3%)

rewrite28.0ms (1.2%)

series122.0ms (5.2%)

simplify64.0ms (2.7%)

prune40.0ms (1.7%)

regimes77.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample555.0ms (23.6%)

Profiling