Details

Time bar (total: 4.9s)

sample48.0ms

Algorithm
intervals
Results
32.0ms622×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05114
115514
243014
3119514
4252614
5500114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

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)
1.4b
(* (* b b) (+ 3.0 a))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×distribute-rgt-in distribute-lft-in associate-*r/
3×unpow-prod-down pow-unpow
2×sub-neg associate-+r+ flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
1×+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 81
Calls
4 calls:
25.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
17.0ms
(* (* a a) (- 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
15.0ms
(* (* b b) (+ 3.0 a))

series298.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
49.0ms
(* (* a a) (- 1.0 a))
108.0ms
(pow (+ (* a a) (* b b)) 2.0)
33.0ms
(* (* b b) (+ 3.0 a))

simplify67.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0506651
12520583
25001583

prune250.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (+ 1.0 a))
0.1b
(* (* a a) (- (* 1.0 1.0) (* a a)))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
1.4b
(* (* b b) (+ 3.0 a))

rewrite51.0ms

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×times-frac associate-/r* add-log-exp
3×cbrt-undiv distribute-rgt-in unpow-prod-down pow-unpow distribute-lft-in div-exp distribute-lft-out
2×sub-neg flip3-- flip3-+ associate-*l* 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 → 96
Calls
4 calls:
15.0ms
(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (+ 1.0 a))
15.0ms
(* (* a a) (- (* 1.0 1.0) (* a a)))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
14.0ms
(* (* b b) (+ 3.0 a))

series328.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (+ 1.0 a))
79.0ms
(* (* a a) (- (* 1.0 1.0) (* a a)))
101.0ms
(pow (+ (* a a) (* b b)) 2.0)
36.0ms
(* (* b b) (+ 3.0 a))

simplify85.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0565735
13088616
25001616

prune306.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* b b) (+ 3.0 a))
22.2b
(cbrt (* (* b b) (+ 3.0 a)))
22.2b
(cbrt (* (* b b) (+ 3.0 a)))
22.2b
(cbrt (* (* b b) (+ 3.0 a)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
7×*-un-lft-identity
6×add-sqr-sqrt cbrt-div
5×add-cube-cbrt
4×flip3-+ associate-*r* flip-+ add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
1×distribute-rgt-in distribute-lft-in associate-*l* *-commutative distribute-lft-out unswap-sqr
Counts
4 → 57
Calls
4 calls:
14.0ms
(* (* b b) (+ 3.0 a))
8.0ms
(cbrt (* (* b b) (+ 3.0 a)))
12.0ms
(cbrt (* (* b b) (+ 3.0 a)))
8.0ms
(cbrt (* (* b b) (+ 3.0 a)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* b b) (+ 3.0 a))
123.0ms
(cbrt (* (* b b) (+ 3.0 a)))
128.0ms
(cbrt (* (* b b) (+ 3.0 a)))
121.0ms
(cbrt (* (* b b) (+ 3.0 a)))

simplify46.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0329661
11334610
25001544

prune318.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* b b) (+ 3.0 a))
17.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b
(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
13×*-un-lft-identity
12×add-sqr-sqrt
11×add-cube-cbrt
9×pow1 add-exp-log unpow-prod-down add-cbrt-cube
4×associate-*r* add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod sqr-pow
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 69
Calls
4 calls:
14.0ms
(* (* b b) (+ 3.0 a))
4.0ms
(cbrt (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))

series474.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* b b) (+ 3.0 a))
149.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
148.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))
145.0ms
(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0262598
11088544
25002538

prune322.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes117.0ms

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
03329
13329

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s20276×body80valid