Details

Time bar (total: 5.2s)

sample49.0ms

Algorithm
intervals
Results
30.0ms603×body80valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
05314
117313
253212
3168112
4427812
5500112

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

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) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.2b
(* (* b b) (+ 3.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
18×prod-diff
15×pow1 add-exp-log
14×add-cbrt-cube
13×distribute-rgt-in distribute-lft-in
9×associate-*r*
7×fma-def
6×unpow-prod-down pow-prod-down prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×pow-unpow
2×sub-neg associate-+r+ flip3-+ associate-*l* *-commutative flip-+ unswap-sqr sqr-pow
1×+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 114
Calls
4 calls:
61.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
37.0ms
(* (* a a) (- 1.0 a))
30.0ms
(* (* b b) (+ 3.0 a))
10.0ms
(pow (+ (* a a) (* b b)) 2.0)

series311.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
57.0ms
(* (* a a) (- 1.0 a))
33.0ms
(* (* b b) (+ 3.0 a))
106.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify90.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0646990
13454779
25001776

prune330.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (+ 1.0 a))
0.1b
(* (* a a) (- (* 1.0 1.0) (* a a)))
0.2b
(* (* b b) (+ 3.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
23×add-cbrt-cube
16×*-un-lft-identity
15×pow1
12×add-sqr-sqrt
10×add-cube-cbrt
9×prod-exp cbrt-unprod
8×associate-*r*
6×associate-*r/ pow-prod-down
4×distribute-rgt-in expm1-log1p-u distribute-lft-in times-frac associate-/r* log1p-expm1-u add-log-exp
3×cbrt-undiv unpow-prod-down pow-unpow div-exp distribute-lft-out
2×sub-neg flip3-- flip3-+ associate-*l* prod-diff associate-/r/ *-commutative flip-- flip-+ associate-/l/ unswap-sqr
1×pow-to-exp pow-pow frac-2neg pow-exp clear-num div-inv associate-/l* difference-of-squares sqr-pow
Counts
4 → 106
Calls
4 calls:
40.0ms
(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (+ 1.0 a))
38.0ms
(* (* a a) (- (* 1.0 1.0) (* a a)))
32.0ms
(* (* b b) (+ 3.0 a))
10.0ms
(pow (+ (* a a) (* b b)) 2.0)

series543.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (+ 1.0 a))
287.0ms
(* (* a a) (- (* 1.0 1.0) (* a a)))
33.0ms
(* (* b b) (+ 3.0 a))
106.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify90.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0599797
13290674
25001671

prune345.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (+ 1.0 a))
0.1b
(cbrt (+ 1.0 a))
0.2b
(* (* b b) (+ 3.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×pow1 add-exp-log add-sqr-sqrt
9×add-cube-cbrt add-cbrt-cube
8×cbrt-prod
4×expm1-log1p-u cbrt-div associate-*r* log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+ distribute-lft-out
2×pow1/3 associate-*r/
1×distribute-rgt-in pow-to-exp pow-pow distribute-lft-in associate-*l* pow-exp *-commutative unswap-sqr sqr-pow
Counts
4 → 77
Calls
4 calls:
4.0ms
(cbrt (+ 1.0 a))
7.0ms
(cbrt (+ 1.0 a))
30.0ms
(* (* b b) (+ 3.0 a))
10.0ms
(pow (+ (* a a) (* b b)) 2.0)

series306.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(cbrt (+ 1.0 a))
84.0ms
(cbrt (+ 1.0 a))
33.0ms
(* (* b b) (+ 3.0 a))
105.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify50.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0419512
11753466
25002455

prune375.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.1b
(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.2b
(* (* b b) (+ 3.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log
9×*-un-lft-identity add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ fma-udef
1×distribute-rgt-in pow-to-exp pow-pow distribute-lft-in flip3-+ associate-*l* pow-exp *-commutative flip-+ distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 65
Calls
4 calls:
0.0ms
(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.0ms
(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
32.0ms
(* (* b b) (+ 3.0 a))
10.0ms
(pow (+ (* a a) (* b b)) 2.0)

series287.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
46.0ms
(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
33.0ms
(* (* b b) (+ 3.0 a))
105.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify47.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0335551
11554479
25001471

prune230.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.2b 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
03225
13225

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s20441×body80valid