Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

350×

body

valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4587	3
12	5001	3

prune7.0ms

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: 2.4b

Counts

2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

2.3b	(fma (- y x) (/ z 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 (- y x) (/ z t) x)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(fma (- y x) (/ z t) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	69
1	86	62
2	257	53
3	1248	53
4	5003	53

prune39.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	9	6	15

Merged error: 2.4b

Counts

15 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.5b	(* (- y x) (/ z t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

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

series80.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* (- y x) (/ z t)))
46.0ms	(* (- y x) (/ z t))

simplify42.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	306	327
1	1283	301
2	5002	286

prune128.0ms

Filtered

62 candidates to 45 candidates (72.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	55	7	62
Fresh	4	0	4
Picked	0	1	1
Done	1	0	1
Total	60	8	68

Merged error: 0.0b

Counts

68 → 8

localize162.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.2b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
16.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series655.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt t)
183.0ms	(cbrt t)
169.0ms	(cbrt t)
125.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify55.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	398	630
1	1701	508
2	5003	468

prune252.0ms

Filtered

89 candidates to 70 candidates (78.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	89	8	97

Merged error: 0.0b

Counts

97 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
12.0b	(cbrt (/ z t))
12.0b	(cbrt (/ z t))
12.0b	(cbrt (/ z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

13.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
3.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))

series324.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
60.0ms	(cbrt (/ z t))
68.0ms	(cbrt (/ z t))
66.0ms	(cbrt (/ z t))

simplify91.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	351	805
1	953	733
2	3478	721
3	5001	697

prune293.0ms

Filtered

118 candidates to 93 candidates (78.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	118	8	126

Merged error: 0.0b

Counts

126 → 8

regimes194.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

sample597.0ms

Algorithm

intervals

Results

333.0ms

10664×

body

valid