Details

Time bar (total: 5.9s)

sample49.0ms

Algorithm
intervals
Results
32.0ms654×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
05314
117313
253212
3168112
4427812
5500112

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
0.0b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
1.2b
(* (* b b) (+ 3.0 a))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt *-un-lft-identity prod-diff
32×add-cube-cbrt
24×distribute-rgt-in distribute-lft-in
22×associate-+l+
15×pow1 add-exp-log
14×add-cbrt-cube
12×associate-*r/
9×associate-*r*
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u sub-neg flip3-+ frac-add flip-+ log1p-expm1-u
3×unpow-prod-down pow-unpow flip3-- flip--
2×associate-+r+ associate-*l* *-commutative unswap-sqr
1×+-commutative pow-to-exp pow-pow fma-def pow-exp sum-log distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 134
Calls
4 calls:
12.0ms
(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
9.0ms
(* (* a a) (- 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (+ 3.0 a))

series253.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
52.0ms
(* (* a a) (- 1.0 a))
105.0ms
(pow (+ (* a a) (* b b)) 2.0)
39.0ms
(* (* b b) (+ 3.0 a))

simplify108.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
07301165
14038906
25001903

prune435.0ms

Filtered
146 candidates to 98 candidates (67.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (* b b) (+ 3.0 a))
19.0b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
13×*-un-lft-identity
12×add-sqr-sqrt
11×add-cube-cbrt
9×pow1 add-exp-log unpow-prod-down add-cbrt-cube
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod sqr-pow
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 77
Calls
4 calls:
8.0ms
(* (* b b) (+ 3.0 a))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series497.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* b b) (+ 3.0 a))
157.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
155.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0270642
11138585
25001579

prune357.0ms

Filtered
89 candidates to 72 candidates (80.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

19.0b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp sqr-pow
Counts
4 → 68
Calls
4 calls:
5.0ms
(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))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series615.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
154.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
156.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
154.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
0106680
1233632
2782624
33284616
45002616

prune391.0ms

Filtered
80 candidates to 68 candidates (85.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

9.1b
(cbrt (+ (* a a) (* b b)))
14.5b
(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
19.0b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×unpow-prod-down
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×sqr-pow
2×cbrt-div
1×flip3-+ flip-+
Counts
4 → 64
Calls
4 calls:
7.0ms
(cbrt (+ (* a a) (* b b)))
4.0ms
(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series563.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(cbrt (+ (* a a) (* b b)))
153.0ms
(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
160.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0274737
1864681
23001672
35002666

prune459.0ms

Filtered
76 candidates to 67 candidates (88.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes276.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s20313×body80valid