Details

Time bar (total: 6.4s)

sample57.0ms

Algorithm
intervals
Results
37.0ms619×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

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

localize22.0ms

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) (- 1.0 (* 3.0 a))))))
0.1b
(* (* a a) (+ 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.7b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-sqr-sqrt *-un-lft-identity add-cbrt-cube
12×add-cube-cbrt
7×distribute-rgt-in fma-def distribute-lft-in associate-*r*
6×unpow-prod-down prod-diff 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
Counts
4 → 100
Calls
4 calls:
8.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
8.0ms
(* (* a a) (+ 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series340.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
51.0ms
(* (* a a) (+ 1.0 a))
112.0ms
(pow (+ (* a a) (* b b)) 2.0)
58.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify81.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0564828
12826724
25001715

prune344.0ms

Filtered
112 candidates to 80 candidates (71.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* b b) (- 1.0 (* 3.0 a)))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
14×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log unpow-prod-down add-cbrt-cube
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod sqr-pow
2×sub-neg associate-*r/
1×flip3-- associate-*l* *-commutative flip-- unswap-sqr
Counts
4 → 84
Calls
4 calls:
8.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series529.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
153.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
161.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
158.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0315769
11231692
25002681

prune411.0ms

Filtered
96 candidates to 74 candidates (77.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite20.0ms

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:
4.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series825.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
157.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
153.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
359.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
0106680
1233632
2782624
33284616
45002616

prune410.0ms

Filtered
80 candidates to 68 candidates (85.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.6b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite21.0ms

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))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

series633.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
159.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
154.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
159.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify102.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
0106680
1233632
2782624
33284616
45002616

prune496.0ms

Filtered
80 candidates to 68 candidates (85.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes166.0ms

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
02715
12715

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s20568×body80valid