Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

378×

body

valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (20.0ms)

Iter	Nodes	Cost
0	26	7
1	68	4
2	140	4
3	200	4
4	214	4
5	217	3
6	217	3

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
5.1b	(* (* a z) b)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 73

Calls

4 calls:

9.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
3.0ms	(+ x (* y z))
5.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(* (* a z) b)

series196.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(+ x (* y z))
48.0ms	(+ (+ x (* y z)) (* t a))
32.0ms	(* (* a z) b)

simplify67.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	358	405
1	1787	339
2	5001	330

prune251.0ms

Filtered

85 candidates to 68 candidates (80.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* a z) b)
15.0b	(cbrt (* (* a z) b))
15.0b	(cbrt (* (* a z) b))
15.0b	(cbrt (* (* a z) b))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

5.0ms	(* (* a z) b)
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))

series325.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* a z) b)
97.0ms	(cbrt (* (* a z) b))
98.0ms	(cbrt (* (* a z) b))
98.0ms	(cbrt (* (* a z) b))

simplify89.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	185	316
1	726	268
2	3235	259
3	5001	240

prune248.0ms

Filtered

65 candidates to 56 candidates (86.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	65	5	70

Merged error: 0b

Counts

70 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* a z) b)
15.0b	(cbrt (* (* a z) b))
15.0b	(cbrt (* (* a z) b))
15.0b	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

5.0ms	(* (* a z) b)
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))
12.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* a z) b)
103.0ms	(cbrt (* (* a z) b))
100.0ms	(cbrt (* (* a z) b))
104.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

simplify96.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	202	381
1	765	323
2	3341	311
3	5002	245

prune283.0ms

Filtered

65 candidates to 56 candidates (86.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	65	5	70

Merged error: 0b

Counts

70 → 5

localize12.0ms

Local error

Found 1 expressions with local error:

1.9b	(fma (fma a b y) z (fma a t x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (fma a b y) z (fma a t x))

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(fma (fma a b y) z (fma a t x))

simplify68.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	44	58
1	93	51
2	307	49
3	2032	49
4	5002	49

prune39.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	13	5	18

Merged error: 0b

Counts

18 → 5

regimes255.0ms

Accuracy

-6.3% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.2b

bsearch56.0ms

Steps

Iters	Range		Point
8	-1.0479218762602583e-236	-7.945384261570912e-241	-4.2057633867338795e-238

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	10
1	26	10

end0.0ms

sample856.0ms

Algorithm

intervals

Results

453.0ms

11822×

body

valid

Details

sample33.0ms

simplify25.0ms

prune11.0ms

localize11.0ms

rewrite24.0ms

series196.0ms

simplify67.0ms

prune251.0ms

localize15.0ms

rewrite19.0ms

series325.0ms

simplify89.0ms

prune248.0ms

localize27.0ms

rewrite27.0ms

series334.0ms

simplify96.0ms

prune283.0ms

localize12.0ms

rewrite1.0ms

series95.0ms

simplify68.0ms

prune39.0ms

regimes255.0ms

bsearch56.0ms

simplify2.0ms

end0.0ms

sample856.0ms

Profiling