Details

Time bar (total: 5.4s)

sample50.0ms

Algorithm
intervals
Results
33.0ms643×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05315
116115
245915
3132315
4299215
5500115

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
17×pow1 add-exp-log
16×add-cbrt-cube
14×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt associate-*r*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×distribute-rgt-in distribute-lft-in flip3-+ frac-add flip-+ add-log-exp
3×unpow-prod-down pow-unpow flip3-- *-commutative flip-- unswap-sqr
2×sub-neg
1×pow-to-exp pow-pow pow-exp distribute-lft-out sqr-pow
Counts
4 → 92
Calls
4 calls:
11.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
8.0ms
(* (* a a) (+ 1.0 a))
7.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)

series267.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
46.0ms
(* (* a a) (+ 1.0 a))
53.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
102.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify100.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0658794
13720707
25001707

prune298.0ms

Filtered
104 candidates to 69 candidates (66.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New986104
Fresh000
Picked101
Done000
Total996105

Merged error: 0.1b

Counts
105 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (+ (* a a) (* b b)) 2.0)
20.6b
(cbrt (* (* a a) (+ 1.0 a)))
20.6b
(cbrt (* (* a a) (+ 1.0 a)))
20.6b
(cbrt (* (* a a) (+ 1.0 a)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity associate-*r/
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×cbrt-prod unpow-prod-down pow-unpow flip3-+ pow1/3 flip-+
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 50
Calls
4 calls:
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
6.0ms
(cbrt (* (* a a) (+ 1.0 a)))
6.0ms
(cbrt (* (* a a) (+ 1.0 a)))
6.0ms
(cbrt (* (* a a) (+ 1.0 a)))

series397.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(pow (+ (* a a) (* b b)) 2.0)
92.0ms
(cbrt (* (* a a) (+ 1.0 a)))
90.0ms
(cbrt (* (* a a) (+ 1.0 a)))
98.0ms
(cbrt (* (* a a) (+ 1.0 a)))

simplify154.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
0269555
1946496
24260439
35003436

prune305.0ms

Filtered
62 candidates to 54 candidates (87.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New59362
Fresh325
Picked011
Done000
Total62668

Merged error: 0.1b

Counts
68 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

17.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.6b
(cbrt (* (* a a) (+ 1.0 a)))
20.6b
(cbrt (* (* a a) (+ 1.0 a)))
20.6b
(cbrt (* (* a a) (+ 1.0 a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity associate-*r/
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×unpow-prod-down flip3-+ flip-+
1×sqr-pow
Counts
4 → 48
Calls
4 calls:
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
6.0ms
(cbrt (* (* a a) (+ 1.0 a)))
11.0ms
(cbrt (* (* a a) (+ 1.0 a)))
6.0ms
(cbrt (* (* a a) (+ 1.0 a)))

series576.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
238.0ms
(cbrt (* (* a a) (+ 1.0 a)))
99.0ms
(cbrt (* (* a a) (+ 1.0 a)))
91.0ms
(cbrt (* (* a a) (+ 1.0 a)))

simplify107.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0277593
1798528
23577469
35002464

prune320.0ms

Filtered
60 candidates to 54 candidates (90.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New57360
Fresh134
Picked011
Done011
Total58866

Merged error: 0.0b

Counts
66 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

17.4b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.6b
(cbrt (* (* a a) (+ 1.0 a)))
20.6b
(cbrt (* (* a a) (+ 1.0 a)))
20.6b
(cbrt (* (* a a) (+ 1.0 a)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity associate-*r/
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×unpow-prod-down flip3-+ flip-+
1×sqr-pow
Counts
4 → 48
Calls
4 calls:
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
6.0ms
(cbrt (* (* a a) (+ 1.0 a)))
6.0ms
(cbrt (* (* a a) (+ 1.0 a)))
6.0ms
(cbrt (* (* a a) (+ 1.0 a)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
87.0ms
(cbrt (* (* a a) (+ 1.0 a)))
85.0ms
(cbrt (* (* a a) (+ 1.0 a)))
89.0ms
(cbrt (* (* a a) (+ 1.0 a)))

simplify107.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0277593
1798528
23577469
35002464

prune363.0ms

Filtered
60 candidates to 54 candidates (90.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New58260
Fresh145
Picked011
Done022
Total59968

Merged error: 0.0b

Counts
68 → 9

regimes157.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03126
13126

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s20683×body80valid