Details

sample64.0ms

Algorithm

intervals

Results

45.0ms

685×

body

valid

simplify96.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	53	15
1	161	15
2	459	15
3	1323	15
4	2992	15
5	5001	15

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.2b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.9b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
3×	`unpow-prod-down` `pow-unpow`
2×	`sub-neg` `associate-+r+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

7.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
8.0ms	(* (* a a) (+ 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
47.0ms	(* (* a a) (+ 1.0 a))
99.0ms	(pow (+ (* a a) (* b b)) 2.0)
52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify67.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	504	702
1	2520	622
2	5002	622

prune211.0ms

Filtered

91 candidates to 61 candidates (67.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	4	92

Merged error: 0b

Counts

92 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (- 1.0 (* 3.0 a)))
19.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

10.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series489.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
144.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
147.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	266	651
1	1020	585
2	5001	579

prune272.0ms

Filtered

82 candidates to 64 candidates (78.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	82	4	86

Merged error: 0b

Counts

86 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
2.0b	(* (pow a 2) (pow b 2))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
25×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
10×	`unpow2` `sqr-pow`
9×	`add-cube-cbrt` `associate-r`
6×	`pow1`
4×	`sum-log` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

5.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
8.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
12.0ms	(* 2 (* (pow a 2) (pow b 2)))
8.0ms	(* (pow a 2) (pow b 2))

series191.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
59.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
39.0ms	(* 2 (* (pow a 2) (pow b 2)))
33.0ms	(* (pow a 2) (pow b 2))

simplify62.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	375	699
1	1613	622
2	5001	616

prune213.0ms

Filtered

113 candidates to 60 candidates (53.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (pow (+ (* a a) (* b b)) 2.0) 3)
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.9b	(* (* b b) (- 1.0 (* 3.0 a)))
22.6b	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

29×	`unpow-prod-down`
20×	`cbrt-prod`
18×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
14×	`cube-prod`
12×	`add-exp-log`
10×	`pow1` `add-cbrt-cube`
7×	`sqr-pow`
6×	`pow-unpow`
5×	`pow-exp`
4×	`add-log-exp`
3×	`pow-to-exp` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `pow-pow` `distribute-lft-in` `unpow3` `associate-*r/`
1×	`flip3--` `pow1/3` `associate-l` `*-commutative` `flip--` `rem-cbrt-cube` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

7.0ms	(pow (pow (+ (* a a) (* b b)) 2.0) 3)
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
6.0ms	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

series441.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(pow (pow (+ (* a a) (* b b)) 2.0) 3)
107.0ms	(pow (+ (* a a) (* b b)) 2.0)
55.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
156.0ms	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	431	825
1	1856	787
2	5002	781

prune273.0ms

Filtered

116 candidates to 67 candidates (57.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	116	4	120

Merged error: 0b

Counts

120 → 4

regimes74.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	28
1	31	28

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s

20567×

body

valid

Details

sample64.0ms

simplify96.0ms

prune3.0ms

localize18.0ms

rewrite29.0ms

series307.0ms

simplify67.0ms

prune211.0ms

localize20.0ms

rewrite25.0ms

series489.0ms

simplify40.0ms

prune272.0ms

localize13.0ms

rewrite37.0ms

series191.0ms

simplify62.0ms

prune213.0ms

localize20.0ms

rewrite29.0ms

series441.0ms

simplify60.0ms

prune273.0ms

regimes74.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

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