Details

analyze2.3s (18%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5056	1978
0	10	10
1	10	10

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

Compiler

Compiled 32 to 30 computations (6.3% saved)

sample83.0ms (0.7%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
19.0ms	236×	body	128	invalid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify443.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (438.0ms)

Iter	Nodes	Cost
0	3064	43
1	3064	43

prune6.0ms (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

6.7b

Counts

2 → 1

Compiler

Compiled 58 to 56 computations (3.4% saved)

localize242.0ms (1.9%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 x 18) y)
0.5b	(.f64 (.f64 j 27) k)
3.8b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.1b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`pow1_binary64_23668` `add-cbrt-cube_binary64_23643` `add-exp-log_binary64_23645`
13×	`prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `pow-prod-down_binary64_23678`
12×	`associate-r_binary64_23547`
11×	`add-sqr-sqrt_binary64_23629`
9×	`*-un-lft-identity_binary64_23607` `add-cube-cbrt_binary64_23642`
6×	`associate-l_binary64_23548`
4×	`*-commutative_binary64_23538` `add-log-exp_binary64_23646`
2×	`sub-neg_binary64_23600` `cancel-sign-sub-inv_binary64_23573` `distribute-rgt-in_binary64_23557` `associate-*r/_binary64_23549` `distribute-lft-in_binary64_23556`
1×	`unswap-sqr_binary64_23575` `flip--_binary64_23582` `flip3--_binary64_23611`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 (.f64 j 27) k)

series175.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
28.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
15.0ms	(.f64 (.f64 j 27) k)
14.0ms	(.f64 (.f64 x 18) y)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5158	1201

prune176.0ms (1.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	11	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Error

1.7b

Counts

94 → 11

Compiler

Compiled 3505 to 2247 computations (35.9% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 j (.f64 27 k))
0.4b	(.f64 (.f64 x 18) y)
3.8b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.1b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`pow1_binary64_23668` `add-cbrt-cube_binary64_23643` `add-exp-log_binary64_23645`
13×	`prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `pow-prod-down_binary64_23678`
11×	`add-sqr-sqrt_binary64_23629`
10×	`associate-r_binary64_23547`
9×	`*-un-lft-identity_binary64_23607` `add-cube-cbrt_binary64_23642`
8×	`associate-l_binary64_23548`
4×	`*-commutative_binary64_23538` `add-log-exp_binary64_23646`
2×	`sub-neg_binary64_23600` `cancel-sign-sub-inv_binary64_23573` `distribute-rgt-in_binary64_23557` `associate-*r/_binary64_23549` `distribute-lft-in_binary64_23556`
1×	`unswap-sqr_binary64_23575` `flip--_binary64_23582` `flip3--_binary64_23611`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 j (.f64 27 k))

series175.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
33.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
15.0ms	(.f64 j (.f64 27 k))
15.0ms	(.f64 (.f64 x 18) y)

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5049	1199

prune148.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	93	11	104

Error

1.7b

Counts

104 → 11

Compiler

Compiled 3478 to 2221 computations (36.1% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 t (-.f64 (.f64 (.f64 x 18) (.f64 y z)) (.f64 a 4))) (-.f64 (.f64 b c) (+.f64 (.f64 (.f64 x 4) i) (.f64 (.f64 j 27) k))))
0.5b	(.f64 (.f64 j 27) k)
3.8b	(.f64 t (-.f64 (.f64 (.f64 x 18) (.f64 y z)) (*.f64 a 4)))
4.2b	(.f64 (.f64 x 18) (*.f64 y z))

rewrite52.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1_binary64_23668` `add-cbrt-cube_binary64_23643` `add-exp-log_binary64_23645`
13×	`add-log-exp_binary64_23646`
12×	`prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `pow-prod-down_binary64_23678`
10×	`add-sqr-sqrt_binary64_23629`
8×	`*-un-lft-identity_binary64_23607` `add-cube-cbrt_binary64_23642`
7×	`cancel-sign-sub-inv_binary64_23573` `associate-r_binary64_23547`
6×	`associate-*r/_binary64_23549`
5×	`associate-l_binary64_23548` `flip--_binary64_23582` `flip3--_binary64_23611` `sub-neg_binary64_23600`
4×	`associate-+r+_binary64_23539` `sum-log_binary64_23698` `associate-+l+_binary64_23540` `distribute-rgt-in_binary64_23557` `distribute-lft-in_binary64_23556` `frac-add_binary64_23615`
3×	`*-commutative_binary64_23538`
2×	`diff-log_binary64_23699`
1×	`unswap-sqr_binary64_23575` `flip-+_binary64_23581` `flip3-+_binary64_23610` `+-commutative_binary64_23537` `associate-+r-_binary64_23541`

Counts

4 → 90

Calls

4 calls:

19.0ms	(+.f64 (.f64 t (-.f64 (.f64 (.f64 x 18) (.f64 y z)) (.f64 a 4))) (-.f64 (.f64 b c) (+.f64 (.f64 (.f64 x 4) i) (.f64 (.f64 j 27) k))))
10.0ms	(.f64 t (-.f64 (.f64 (.f64 x 18) (.f64 y z)) (*.f64 a 4)))
6.0ms	(.f64 (.f64 x 18) (*.f64 y z))
5.0ms	(.f64 (.f64 j 27) k)

series2.8s (22.3%)

Counts

4 → 12

Calls

4 calls:

2.7s	(+.f64 (.f64 t (-.f64 (.f64 (.f64 x 18) (.f64 y z)) (.f64 a 4))) (-.f64 (.f64 b c) (+.f64 (.f64 (.f64 x 4) i) (.f64 (.f64 j 27) k))))
120.0ms	(.f64 t (-.f64 (.f64 (.f64 x 18) (.f64 y z)) (*.f64 a 4)))
28.0ms	(.f64 (.f64 x 18) (*.f64 y z))
14.0ms	(.f64 (.f64 j 27) k)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5053	2846

prune195.0ms (1.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	99	14	113

Error

1.7b

Counts

113 → 14

Compiler

Compiled 4468 to 2704 computations (39.5% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.1b	(.f64 (.f64 (*.f64 x 18) y) z)
17.4b	(cbrt.f64 (.f64 (.f64 (*.f64 x 18) y) z))
17.4b	(cbrt.f64 (.f64 (.f64 (*.f64 x 18) y) z))
17.4b	(cbrt.f64 (.f64 (.f64 (*.f64 x 18) y) z))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`pow1_binary64_23668` `add-cbrt-cube_binary64_23643` `add-exp-log_binary64_23645`
6×	`prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `pow-prod-down_binary64_23678`
5×	`*-un-lft-identity_binary64_23607` `add-sqr-sqrt_binary64_23629` `add-cube-cbrt_binary64_23642`
4×	`add-log-exp_binary64_23646`
3×	`pow1/3_binary64_23689` `cbrt-prod_binary64_23638` `associate-r_binary64_23547`
1×	`associate-l_binary64_23548` `*-commutative_binary64_23538`

Counts

4 → 48

Calls

4 calls:

8.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(cbrt.f64 (.f64 (.f64 (*.f64 x 18) y) z))
5.0ms	(cbrt.f64 (.f64 (.f64 (*.f64 x 18) y) z))
5.0ms	(cbrt.f64 (.f64 (.f64 (*.f64 x 18) y) z))

series346.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt.f64 (.f64 (.f64 (*.f64 x 18) y) z))
107.0ms	(cbrt.f64 (.f64 (.f64 (*.f64 x 18) y) z))
102.0ms	(cbrt.f64 (.f64 (.f64 (*.f64 x 18) y) z))
26.0ms	(.f64 (.f64 (*.f64 x 18) y) z)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4969	776
1	4969	776

prune121.0ms (0.9%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	60	14	74

Error

1.7b

Counts

74 → 14

Compiler

Compiled 3095 to 1963 computations (36.6% saved)

regimes1.6s (12.4%)

Accuracy

Total 0.9b remaining (29.3%)

Threshold costs 0.9b (29.3%)

Compiler

Compiled 20672 to 18368 computations (11.1% saved)

bsearch3.0ms (0%)

Compiler: Compiled 25 to 25 computations (0% saved)

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	228	160
1	228	160

Compiler

Compiled 642 to 450 computations (29.9% saved)

end0.0ms (0%)

sample3.4s (26.4%)

Algorithm

1×

intervals

Results

691.0ms	8000×	body	128	valid
658.0ms	7884×	body	128	invalid

Compiler

Compiled 1505 to 1281 computations (14.9% saved)

Details

analyze2.3s (18%)

sample83.0ms (0.7%)

simplify443.0ms (3.5%)

prune6.0ms (0%)

localize242.0ms (1.9%)

rewrite35.0ms (0.3%)

series175.0ms (1.4%)

simplify69.0ms (0.5%)

prune176.0ms (1.4%)

localize22.0ms (0.2%)

rewrite35.0ms (0.3%)

series175.0ms (1.4%)

simplify67.0ms (0.5%)

prune148.0ms (1.2%)

localize27.0ms (0.2%)

rewrite52.0ms (0.4%)

series2.8s (22.3%)

simplify58.0ms (0.5%)

prune195.0ms (1.5%)

localize27.0ms (0.2%)

rewrite29.0ms (0.2%)

series346.0ms (2.7%)

simplify89.0ms (0.7%)

prune121.0ms (0.9%)

regimes1.6s (12.4%)

bsearch3.0ms (0%)

simplify38.0ms (0.3%)

end0.0ms (0%)

sample3.4s (26.4%)

Profiling