Details

Time bar (total: 3.3s)

sample32.0ms

Algorithm
intervals
Results
23.0ms350×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0143
1333
2733
31123
41293
51313
61313

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* x (- x y)) 2.0)
0.0b
(* x (- x y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
pow1 add-exp-log add-cbrt-cube
associate-*r*
associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u sub-neg flip3-- associate-*l/ *-commutative flip-- log1p-expm1-u add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
17.0ms
(* (* x (- x y)) 2.0)
13.0ms
(* x (- x y))

series88.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* x (- x y)) 2.0)
36.0ms
(* x (- x y))

simplify41.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0268469
11243316
25001310

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (* (- x y) 2.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*l* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l/
expm1-log1p-u flip3-- associate-*r* *-commutative flip-- log1p-expm1-u add-log-exp
Counts
1 → 22
Calls
1 calls:
13.0ms
(* x (* (- x y) 2.0))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* x (* (- x y) 2.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0144117
155895
2317695
3500295

prune44.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (pow x 2) (* x (- y))) 2.0)
0.0b
(+ (pow x 2) (* x (- y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt fma-def
add-cube-cbrt *-un-lft-identity
pow1 add-exp-log associate-*l* add-cbrt-cube add-log-exp
unpow-prod-down associate-*r* unpow2
expm1-log1p-u flip3-+ associate-*l/ distribute-rgt-neg-out flip-+ log1p-expm1-u distribute-lft-out
+-commutative unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr sqr-pow
Counts
2 → 47
Calls
2 calls:
23.0ms
(* (+ (pow x 2) (* x (- y))) 2.0)
7.0ms
(+ (pow x 2) (* x (- y)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (+ (pow x 2) (* x (- y))) 2.0)
34.0ms
(+ (pow x 2) (* x (- y)))

simplify141.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0168276
1771220
24864204
35001204

prune106.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- x y))) (cbrt (* x (- x y))))
6.9b
(cbrt (* x (- x y)))
6.9b
(cbrt (* x (- x y)))
6.9b
(cbrt (* x (- x y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-- pow1/3 flip--
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
9.0ms
(* (cbrt (* x (- x y))) (cbrt (* x (- x y))))
3.0ms
(cbrt (* x (- x y)))
3.0ms
(cbrt (* x (- x y)))
3.0ms
(cbrt (* x (- x y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
253.0ms
(* (cbrt (* x (- x y))) (cbrt (* x (- x y))))
271.0ms
(cbrt (* x (- x y)))
265.0ms
(cbrt (* x (- x y)))
268.0ms
(cbrt (* x (- x y)))

simplify115.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0218610
1735559
23595526
35001521

prune209.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample948.0ms

Algorithm
intervals
Results
753.0ms11116×body80valid