Details

Time bar (total: 5.6s)

sample54.0ms

Algorithm
intervals
Results
36.0ms652×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
05314
117313
253212
3168112
4427812
5500112

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

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))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.7b
(* (* b b) (+ 3.0 a))

rewrite36.0ms

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:
11.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
9.0ms
(* (* a a) (- 1.0 a))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (+ 3.0 a))

series288.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
52.0ms
(* (* a a) (- 1.0 a))
100.0ms
(pow (+ (* a a) (* b b)) 2.0)
32.0ms
(* (* b b) (+ 3.0 a))

simplify86.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0646990
13454779
25001776

prune324.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.7b
(* (* b b) (+ 3.0 a))
14.2b
(sqrt (pow (+ (* a a) (* b b)) 2.0))
14.2b
(sqrt (pow (+ (* a a) (* b b)) 2.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×sqrt-prod
13×*-un-lft-identity
11×add-cube-cbrt unpow-prod-down
10×pow1 add-exp-log
9×add-cbrt-cube
6×rem-sqrt-square
5×sqr-pow
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×sqrt-pow1 pow1/2 associate-*r/
1×distribute-rgt-in pow-to-exp pow-pow distribute-lft-in flip3-+ associate-*l* pow-exp *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 87
Calls
4 calls:
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
9.0ms
(* (* b b) (+ 3.0 a))
5.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))

series410.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(pow (+ (* a a) (* b b)) 2.0)
35.0ms
(* (* b b) (+ 3.0 a))
136.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
139.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0299564
11364514
25002509

prune385.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

2.0b
(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
14.2b
(sqrt (pow (+ (* a a) (* b b)) 2.0))
21.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
18×add-sqr-sqrt
17×sqrt-prod
14×unpow-prod-down
13×add-cube-cbrt *-un-lft-identity
7×rem-sqrt-square
6×sqr-pow
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×sqrt-pow1 pow1/3
2×pow1/2
Counts
4 → 81
Calls
4 calls:
6.0ms
(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
5.0ms
(sqrt (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))

series571.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
135.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
143.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0197714
1443674
21374670
35001662

prune477.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

9.5b
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.5b
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
14.2b
(sqrt (pow (+ (* a a) (* b b)) 2.0))
21.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
14×add-sqr-sqrt
13×unpow-prod-down
12×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
5×sqr-pow
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×rem-sqrt-square pow1/3
1×sqrt-pow1 pow1/2
Counts
4 → 72
Calls
4 calls:
4.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
5.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series577.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
147.0ms
(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
136.0ms
(sqrt (pow (+ (* a a) (* b b)) 2.0))
145.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0203710
1481666
21584652
35001652

prune498.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes143.0ms

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
02520
12520

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s20466×body80valid