Details

sample59.0ms

Algorithm

intervals

Results

40.0ms

676×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	55	15
1	179	14
2	561	13
3	1824	13
4	5002	13

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

Merged error: 0.2b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.1b	(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
1.0b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/` `fma-udef`
1×	`pow-to-exp` `flip3--` `pow-pow` `associate-l` `pow-exp` `*-commutative` `flip--` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

1.0ms	(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
1.0ms	(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(fma 4.0 (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
57.0ms	(fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a))))
108.0ms	(pow (+ (* a a) (* b b)) 2.0)
55.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	391	706
1	1680	606
2	5001	592

prune288.0ms

Filtered

84 candidates to 63 candidates (75.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	76	8	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	8	85

Merged error: 0.0b

Counts

85 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* b b) (- 1.0 (* 3.0 a)))
9.3b	(cbrt (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))))
9.3b	(cbrt (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))))
9.3b	(cbrt (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
1.0ms	(cbrt (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))))
1.0ms	(cbrt (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))))
1.0ms	(cbrt (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))))

series542.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
160.0ms	(cbrt (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))))
161.0ms	(cbrt (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))))
160.0ms	(cbrt (fma (* a a) (+ 1.0 a) (* (* b b) (- 1.0 (* 3.0 a)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	325	916
1	1279	815
2	5002	777

prune350.0ms

Filtered

84 candidates to 65 candidates (77.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* b b) (- 1.0 (* 3.0 a)))
20.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
14×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

8.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series608.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
180.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
186.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
179.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	315	769
1	1231	692
2	5002	681

prune385.0ms

Filtered

96 candidates to 74 candidates (77.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

localize35.0ms

Local error

Found 4 expressions with local error:

9.4b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
9.4b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
20.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

6.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
6.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series715.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
184.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
181.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
174.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify158.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	179	814
1	384	760
2	1210	750
3	4950	740
4	5001	740

prune449.0ms

Filtered

86 candidates to 72 candidates (83.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

regimes170.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	32
1	25	32

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

20103×

body

valid