Details

Time bar (total: 5.4s)

sample55.0ms

Algorithm
intervals
Results
36.0ms643×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
05515
117914
256113
3182413
4500213

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* 3.0 a))
0.1b
(* (* a a) (+ 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.4b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-sqr-sqrt *-un-lft-identity add-cbrt-cube
12×add-cube-cbrt
9×prod-diff
7×associate-*r*
6×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×sub-neg unpow-prod-down pow-unpow fma-neg
2×flip3-- associate-*l* *-commutative flip-- unswap-sqr
1×pow-to-exp pow-pow flip3-+ diff-log pow-exp flip-+ distribute-lft-out sqr-pow
Counts
4 → 98
Calls
4 calls:
2.0ms
(- 1.0 (* 3.0 a))
14.0ms
(* (* a a) (+ 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
13.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- 1.0 (* 3.0 a))
50.0ms
(* (* a a) (+ 1.0 a))
102.0ms
(pow (+ (* a a) (* b b)) 2.0)
53.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify58.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0464609
12250529
25002522

prune313.0ms

Filtered
110 candidates to 74 candidates (67.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* 3.0 a))
0.1b
(* (* a a) (+ 1.0 a))
0.3b
(* (pow (fma a a (* b b)) (/ 2.0 2)) (pow (fma a a (* b b)) (/ 2.0 2)))
0.4b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
26×add-exp-log
20×*-un-lft-identity
18×add-cube-cbrt unpow-prod-down
16×add-cbrt-cube
15×prod-exp
14×pow1 associate-*r*
11×unswap-sqr
10×sqr-pow
9×associate-*l* prod-diff
7×swap-sqr pow-prod-down cbrt-unprod
6×distribute-rgt-in pow-to-exp distribute-lft-in pow-exp add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×sub-neg fma-neg *-commutative
2×flip3-- flip--
1×pow2 flip3-+ diff-log pow-sqr pow-prod-up flip-+ distribute-lft-out
Counts
4 → 133
Calls
4 calls:
2.0ms
(- 1.0 (* 3.0 a))
14.0ms
(* (* a a) (+ 1.0 a))
9.0ms
(* (pow (fma a a (* b b)) (/ 2.0 2)) (pow (fma a a (* b b)) (/ 2.0 2)))
13.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- 1.0 (* 3.0 a))
48.0ms
(* (* a a) (+ 1.0 a))
152.0ms
(* (pow (fma a a (* b b)) (/ 2.0 2)) (pow (fma a a (* b b)) (/ 2.0 2)))
54.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify72.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05331051
12639912
25002898

prune405.0ms

Filtered
145 candidates to 87 candidates (60.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (pow (fma a a (* b b)) (/ 2.0 2))) (pow (sqrt (pow (fma a a (* b b)) (/ 2.0 2))) 3))
0.4b
(* (* b b) (- 1.0 (* 3.0 a)))
8.5b
(sqrt (pow (fma a a (* b b)) (/ 2.0 2)))
8.5b
(sqrt (pow (fma a a (* b b)) (/ 2.0 2)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
89×sqrt-prod
84×add-sqr-sqrt
61×unpow-prod-down
41×unswap-sqr
30×sqr-pow
29×associate-*r*
26×cube-prod
21×add-cube-cbrt *-un-lft-identity
14×add-exp-log
11×associate-*l* add-cbrt-cube
10×pow1
6×rem-sqrt-square prod-diff prod-exp
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×pow-prod-down
2×sub-neg sqrt-pow1 pow1/2 associate-*r/ *-commutative
1×cube-mult pow-to-exp flip3-- unpow3 pow-exp pow-prod-up flip--
Counts
4 → 166
Calls
4 calls:
25.0ms
(* (sqrt (pow (fma a a (* b b)) (/ 2.0 2))) (pow (sqrt (pow (fma a a (* b b)) (/ 2.0 2))) 3))
13.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
2.0ms
(sqrt (pow (fma a a (* b b)) (/ 2.0 2)))
2.0ms
(sqrt (pow (fma a a (* b b)) (/ 2.0 2)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* (sqrt (pow (fma a a (* b b)) (/ 2.0 2))) (pow (sqrt (pow (fma a a (* b b)) (/ 2.0 2))) 3))
54.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
157.0ms
(sqrt (pow (fma a a (* b b)) (/ 2.0 2)))
154.0ms
(sqrt (pow (fma a a (* b b)) (/ 2.0 2)))

simplify82.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05152326
122301905
250021835

prune592.0ms

Filtered
178 candidates to 108 candidates (60.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt (pow (fma a a (* b b)) (/ 2.0 2))) 4)
0.1b
(* (* a a) (+ 1.0 a))
0.4b
(* (* b b) (- 1.0 (* 3.0 a)))
8.5b
(sqrt (pow (fma a a (* b b)) (/ 2.0 2)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×unpow-prod-down
16×*-un-lft-identity
15×pow1 add-exp-log
14×add-cube-cbrt sqrt-prod add-cbrt-cube
7×associate-*r*
6×distribute-rgt-in distribute-lft-in prod-diff pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp sqr-pow
3×rem-sqrt-square pow-unpow pow-pow
2×sub-neg sqrt-pow1 pow1/2 associate-*l* *-commutative unswap-sqr
1×pow-to-exp flip3-- flip3-+ pow-exp sqrt-pow2 flip-- flip-+ distribute-lft-out
Counts
4 → 109
Calls
4 calls:
3.0ms
(pow (sqrt (pow (fma a a (* b b)) (/ 2.0 2))) 4)
14.0ms
(* (* a a) (+ 1.0 a))
13.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
6.0ms
(sqrt (pow (fma a a (* b b)) (/ 2.0 2)))

series419.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(pow (sqrt (pow (fma a a (* b b)) (/ 2.0 2))) 4)
53.0ms
(* (* a a) (+ 1.0 a))
49.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
159.0ms
(sqrt (pow (fma a a (* b b)) (/ 2.0 2)))

simplify73.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0591820
12738706
25001696

prune391.0ms

Filtered
121 candidates to 81 candidates (66.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03117
13117

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s20640×body80valid