Details

Time bar (total: 3.9s)

sample23.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms256×pre80true
3.0ms265×pre80false

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1477
21067
32657
414957
550017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
13.4b
(/ (- (* a a) (* b b)) (* a a))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×pow1 times-frac associate-/l*
3×sqrt-prod difference-of-squares
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 52
Calls
3 calls:
2.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms
(/ (- (* a a) (* b b)) (* a a))

series98.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (* a a) (* b b))
16.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
51.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify158.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (153.0ms)

IterNodesCost
0228417
1970368
24781367
35001366

prune137.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ a b) a)
0.0b
(/ (- a b) a)
0.0b
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
68×add-sqr-sqrt
58×times-frac
41×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×associate-*r*
16×associate-*l*
9×associate-/l*
7×pow1 distribute-lft-out distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r*
4×prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
3×sqrt-prod
2×frac-2neg clear-num
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+
Counts
4 → 143
Calls
4 calls:
7.0ms
(/ (+ a b) a)
7.0ms
(/ (- a b) a)
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
30.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series126.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (+ a b) a)
30.0ms
(/ (- a b) a)
15.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
60.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify63.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0493951
12505870
25001867

prune313.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b
(cbrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b
(* (/ (+ a b) a) (/ (- a b) a))
0.0b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
64×*-un-lft-identity
62×times-frac
40×add-cube-cbrt
38×associate-*r*
32×associate-*l*
28×add-exp-log add-cbrt-cube
8×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
6×cbrt-prod distribute-lft-out distribute-lft-out-- difference-of-squares
4×div-inv add-log-exp
2×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 140
Calls
4 calls:
0.0ms
(cbrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
1.0ms
(cbrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
27.0ms
(* (/ (+ a b) a) (/ (- a b) a))
28.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series233.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(cbrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
60.0ms
(cbrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
60.0ms
(* (/ (+ a b) a) (/ (- a b) a))
58.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify51.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03921220
118401078
250031074

prune487.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (+ a b) a) (* (* (cbrt (/ (- a b) a)) (cbrt (/ (- a b) a))) (cbrt (/ (- a b) a))))
0.0b
(cbrt (/ (- a b) a))
0.0b
(cbrt (/ (- a b) a))
0.0b
(cbrt (/ (- a b) a))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
57×cbrt-prod add-sqr-sqrt times-frac
39×add-cube-cbrt
27×cbrt-div
25×add-exp-log
17×frac-times add-cbrt-cube
16×associate-*l*
13×pow1 associate-*r/
12×prod-exp cbrt-unprod
11×associate-*l/
9×distribute-lft-out-- difference-of-squares
6×pow-prod-down
4×div-inv add-log-exp
3×cbrt-undiv pow1/3 div-exp distribute-lft-out
1×associate-*r* *-commutative
Counts
4 → 139
Calls
4 calls:
137.0ms
(* (/ (+ a b) a) (* (* (cbrt (/ (- a b) a)) (cbrt (/ (- a b) a))) (cbrt (/ (- a b) a))))
3.0ms
(cbrt (/ (- a b) a))
3.0ms
(cbrt (/ (- a b) a))
3.0ms
(cbrt (/ (- a b) a))

series739.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (/ (+ a b) a) (* (* (cbrt (/ (- a b) a)) (cbrt (/ (- a b) a))) (cbrt (/ (- a b) a))))
218.0ms
(cbrt (/ (- a b) a))
223.0ms
(cbrt (/ (- a b) a))
219.0ms
(cbrt (/ (- a b) a))

simplify55.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04711608
115931265
250011165

prune412.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

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
0117
1117

end0.0ms

sample582.0ms

Algorithm
intervals
Results
183.0ms8000×body80valid
89.0ms8000×pre80true
88.0ms7960×pre80false