Details

Time bar (total: 1.5s)

sample12.0ms

Algorithm
intervals
Results
5.0ms290×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
194
294

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
4.0ms
(/ (fabs (- x y)) (fabs y))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(/ (fabs (- x y)) (fabs y))

simplify99.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
086226
1235208
2598208
31534208
44378208
55002208

prune61.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (sqrt (fabs y)))
0.3b
(* (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))))
0.4b
(/ (fabs (- x y)) (sqrt (fabs y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
105×add-sqr-sqrt
94×times-frac
65×*-un-lft-identity
59×add-cube-cbrt
53×sqrt-prod
31×add-exp-log
22×associate-*r* associate-*l*
19×add-cbrt-cube
15×unswap-sqr
12×associate-/r*
11×div-exp
8×prod-exp
7×pow1
6×cbrt-undiv associate-/l*
4×cbrt-unprod div-inv
3×rec-exp pow-flip 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 167
Calls
3 calls:
4.0ms
(/ 1 (sqrt (fabs y)))
17.0ms
(* (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))))
4.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ 1 (sqrt (fabs y)))
7.0ms
(* (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))))
18.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04431806
122251591
250011461

prune306.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (fabs (- x y)) (sqrt (fabs y)))
0.5b
(pow (sqrt (fabs y)) 3)
1.2b
(/ 1 (pow (sqrt (fabs y)) 3))
16.7b
(cbrt (/ 1 (pow (sqrt (fabs y)) 3)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
97×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×sqrt-prod
58×cbrt-prod
48×unpow-prod-down cube-prod
24×associate-/r*
16×add-exp-log
9×add-cbrt-cube
8×cube-mult unpow3 sqr-pow
7×div-exp
6×pow1 associate-/l*
4×pow-to-exp pow-exp add-log-exp
3×rec-exp pow-unpow pow-pow 1-exp div-inv
2×cbrt-undiv frac-2neg clear-num
1×cbrt-div pow-flip sqrt-pow1 pow1/2 pow1/3 sqrt-pow2 inv-pow rem-cube-cbrt
Counts
4 → 235
Calls
4 calls:
4.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))
3.0ms
(pow (sqrt (fabs y)) 3)
7.0ms
(/ 1 (pow (sqrt (fabs y)) 3))
7.0ms
(cbrt (/ 1 (pow (sqrt (fabs y)) 3)))

series113.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))
33.0ms
(pow (sqrt (fabs y)) 3)
49.0ms
(/ 1 (pow (sqrt (fabs y)) 3))
14.0ms
(cbrt (/ 1 (pow (sqrt (fabs y)) 3)))

simplify56.0ms

Algorithm
egg-herbie
Counts
247 → 247
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03882090
117611668
250011605

prune295.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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
064

end0.0ms

sample301.0ms

Algorithm
intervals
Results
164.0ms9145×body80valid