Details

Time bar (total: 2.0s)

sample274.0ms

Algorithm
intervals
Results
7.0ms352×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
093
1163
2263
3333
4333

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×add-sqr-sqrt
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- difference-of-squares
Counts
1 → 13
Calls
1 calls:
11.0ms
(- (* x x) y)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(- (* x x) y)

simplify66.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07363
121656
253556
3179456
4500156

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* x x) y))
0.0b
(- (* x x) y)
0.0b
(- (* x x) y)
0.2b
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×sqrt-prod
20×pow1
14×sqrt-div
13×add-cube-cbrt *-un-lft-identity
9×flip3-- sqrt-pow1 pow1/2 swap-sqr flip--
8×add-log-exp
7×associate-*r* associate-*l* difference-of-squares
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×sub-neg diff-log associate-*r/ associate-*l/
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
10.0ms
(sqrt (- (* x x) y))
8.0ms
(- (* x x) y)
8.0ms
(- (* x x) y)
61.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

series116.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(sqrt (- (* x x) y))
20.0ms
(- (* x x) y)
21.0ms
(- (* x x) y)
24.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

simplify189.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 3 (180.0ms)

IterNodesCost
0213585
1789527
24489512
35001499

prune196.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

2.3b
(- (pow x 4) (pow y 2))
29.9b
(/ (- (pow x 4) (pow y 2)) (+ (* x x) y))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
93×add-sqr-sqrt
60×difference-of-squares
48×times-frac
35×unpow-prod-down sqr-pow
33×*-un-lft-identity
23×add-cube-cbrt
16×associate-/l*
15×unpow2
5×distribute-lft-out--
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 109
Calls
2 calls:
18.0ms
(- (pow x 4) (pow y 2))
57.0ms
(/ (- (pow x 4) (pow y 2)) (+ (* x x) y))

series95.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (pow x 4) (pow y 2))
57.0ms
(/ (- (pow x 4) (pow y 2)) (+ (* x x) y))

simplify52.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04551167
116271071
250011026

prune216.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes77.0ms

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
073
173

end0.0ms

sample441.0ms

Algorithm
intervals
Results
196.0ms10680×body80valid