Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

378×

body

valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (18.0ms)

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

prune12.0ms

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

localize17.0ms

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)

rewrite25.0ms

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)

series204.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(+ x (* y z))
56.0ms	(+ (+ x (* y z)) (* t a))
29.0ms	(* (* a z) b)

simplify61.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (54.0ms)

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

prune247.0ms

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))

rewrite18.0ms

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))

series334.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* a z) b)
102.0ms	(cbrt (* (* a z) b))
102.0ms	(cbrt (* (* a z) b))
102.0ms	(cbrt (* (* a z) b))

simplify85.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (79.0ms)

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

prune258.0ms

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

localize23.0ms

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)))

rewrite26.0ms

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))
11.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* a z) b)
102.0ms	(cbrt (* (* a z) b))
104.0ms	(cbrt (* (* a z) b))
105.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

simplify87.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (81.0ms)

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

prune287.0ms

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

localize9.0ms

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))

series98.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

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

simplify64.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

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

prune44.0ms

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

regimes265.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	26	10
1	26	10

end0.0ms

sample899.0ms

Algorithm

intervals

Results

514.0ms

11822×

body

valid