Details

Time bar (total: 3.3s)

sample17.0ms

Algorithm
intervals
Results
8.0ms447×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x x) (* y y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
4.0ms
(+ (* x x) (* y y))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(+ (* x x) (* y y))

simplify44.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
010177
146566
2124066
3500166

prune31.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- (pow y 3)) y)
1.4b
(+ (* (- (pow y 3)) y) (pow x 4))
30.5b
(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*l*
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in times-frac
7×add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod
5×pow1 add-log-exp
4×associate-/r* difference-of-squares
3×associate-*r* associate-/l*
2×cube-mult flip3-+ unpow3 associate-/r/ flip-+ associate-/l/ sqr-pow
1×cbrt-undiv +-commutative distribute-lft-neg-out neg-mul-1 flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
3 → 90
Calls
3 calls:
7.0ms
(* (- (pow y 3)) y)
7.0ms
(+ (* (- (pow y 3)) y) (pow x 4))
11.0ms
(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

series162.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* (- (pow y 3)) y)
50.0ms
(+ (* (- (pow y 3)) y) (pow x 4))
76.0ms
(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0365762
12146656
25003647

prune246.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

1.4b
(- (pow y 4) (pow x 4))
30.5b
(/ (- (pow y 4) (pow x 4)) (- (- (* x x) (* y y))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
228×add-sqr-sqrt
168×times-frac
156×difference-of-squares
116×*-un-lft-identity
112×unpow-prod-down
84×sqr-pow
60×distribute-lft-neg-in add-cube-cbrt distribute-rgt-neg-in
28×distribute-lft-out--
15×neg-mul-1
14×associate-/l*
12×associate-/r*
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- flip--
2×pow1 associate-/r/ associate-/l/ distribute-neg-frac
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 234
Calls
2 calls:
7.0ms
(- (pow y 4) (pow x 4))
16.0ms
(/ (- (pow y 4) (pow x 4)) (- (- (* x x) (* y y))))

series128.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(- (pow y 4) (pow x 4))
78.0ms
(/ (- (pow y 4) (pow x 4)) (- (- (* x x) (* y y))))

simplify89.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
08423486
130173446
250013283

prune451.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ (- (pow y 2) (pow x 2)) (- (sqrt (- (* x x) (* y y)))))
3.4b
(/ (+ (pow y 2) (pow x 2)) (sqrt (- (* x x) (* y y))))
6.6b
(sqrt (- (* x x) (* y y)))
6.6b
(sqrt (- (* x x) (* y y)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
461×add-sqr-sqrt
413×times-frac
356×difference-of-squares
263×*-un-lft-identity
208×sqrt-prod
206×unpow-prod-down
155×add-cube-cbrt
154×distribute-lft-neg-in distribute-rgt-neg-in
152×unpow2 sqr-pow
38×distribute-lft-out--
26×associate-/l*
25×associate-/r*
22×neg-mul-1
16×distribute-lft-out
8×add-exp-log sqrt-div add-cbrt-cube
6×pow1
5×flip3-- flip--
4×associate-/r/ associate-/l/ add-log-exp
2×cbrt-undiv rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv distribute-neg-frac
1×flip3-+ div-sub flip-+
Counts
4 → 529
Calls
4 calls:
23.0ms
(/ (- (pow y 2) (pow x 2)) (- (sqrt (- (* x x) (* y y)))))
14.0ms
(/ (+ (pow y 2) (pow x 2)) (sqrt (- (* x x) (* y y))))
4.0ms
(sqrt (- (* x x) (* y y)))
4.0ms
(sqrt (- (* x x) (* y y)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(/ (- (pow y 2) (pow x 2)) (- (sqrt (- (* x x) (* y y)))))
98.0ms
(/ (+ (pow y 2) (pow x 2)) (sqrt (- (* x x) (* y y))))
45.0ms
(sqrt (- (* x x) (* y y)))
53.0ms
(sqrt (- (* x x) (* y y)))

simplify134.0ms

Algorithm
egg-herbie
Counts
541 → 541
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
014898463
137947623
250027614

prune870.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes76.0ms

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
063
163

end0.0ms

sample468.0ms

Algorithm
intervals
Results
259.0ms14245×body80valid