Details

analyze925.0ms (28.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample32.0ms (1%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	80	valid
3.0ms	75×	body	80	invalid

simplify41.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	718	9
1	718	9

prune8.0ms (0.2%)

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

Merged error: 6.0b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b	(*.f64 y (-.f64 z t))
5.7b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64`
3×	`associate-/r_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-l*_binary64` `times-frac_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 60

Calls

3 calls:

7.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
7.0ms	(*.f64 y (-.f64 z t))
5.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

series46.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

22.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
15.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
9.0ms	(*.f64 y (-.f64 z t))

simplify42.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5000	603

prune98.0ms (3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0b

Counts

70 → 5

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
6.5b	(*.f64 (/.f64 y a) (-.f64 t z))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

9.0ms	(*.f64 (/.f64 y a) (-.f64 t z))
4.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))

series35.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

19.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
16.0ms	(*.f64 (/.f64 y a) (-.f64 t z))

simplify35.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5011	583

prune72.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Merged error: 0b

Counts

64 → 5

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 a (-.f64 z t))
0.0b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
4.8b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite43.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

141×	`times-frac_binary64`
112×	`add-sqr-sqrt_binary64`
105×	`*-un-lft-identity_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
19×	`difference-of-squares_binary64`
17×	`distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 154

Calls

3 calls:

21.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
9.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
6.0ms	(/.f64 a (-.f64 z t))

series47.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

22.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
16.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
9.0ms	(/.f64 a (-.f64 z t))

simplify52.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4999	2110
1	4999	2110

prune158.0ms (4.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	163	5	168

Merged error: 0b

Counts

168 → 5

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
0.0b	(/.f64 (-.f64 z t) a)
4.9b	(*.f64 y (/.f64 (-.f64 z t) a))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

10.0ms	(*.f64 y (/.f64 (-.f64 z t) a))
6.0ms	(/.f64 (-.f64 z t) a)
3.0ms	(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))

series42.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

19.0ms	(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
15.0ms	(*.f64 y (/.f64 (-.f64 z t) a))
8.0ms	(/.f64 (-.f64 z t) a)

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5965	896

prune89.0ms (2.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	96	5	101

Merged error: 0b

Counts

101 → 5

regimes555.0ms (17.3%)

Accuracy

Total 0.7b remaining (97.2%)

Threshold costs 0.7b (97.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	196	37
1	196	37

end0.0ms (0%)

sample727.0ms (22.7%)

Algorithm

1×

intervals

Results

297.0ms	8000×	body	80	valid
90.0ms	2459×	body	80	invalid

Details

analyze925.0ms (28.9%)

sample32.0ms (1%)

simplify41.0ms (1.3%)

prune8.0ms (0.2%)

localize8.0ms (0.2%)

rewrite22.0ms (0.7%)

series46.0ms (1.4%)

simplify42.0ms (1.3%)

prune98.0ms (3%)

localize7.0ms (0.2%)

rewrite15.0ms (0.5%)

series35.0ms (1.1%)

simplify35.0ms (1.1%)

prune72.0ms (2.2%)

localize9.0ms (0.3%)

rewrite43.0ms (1.3%)

series47.0ms (1.5%)

simplify52.0ms (1.6%)

prune158.0ms (4.9%)

localize8.0ms (0.2%)

rewrite22.0ms (0.7%)

series42.0ms (1.3%)

simplify59.0ms (1.9%)

prune89.0ms (2.8%)

regimes555.0ms (17.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample727.0ms (22.7%)

Profiling