Details

Time bar (total: 5.5s)

sample12.0ms

Algorithm
intervals
Results
4.0ms235×body80valid
0.0ms6×body640valid
0.0ms4×body1280valid
0.0ms3×body2560valid
0.0ms4×body320valid
0.0ms4×body160valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1193
2293
3413
4513
5793
61343
71693
81853
92133
102263
112263

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
12.0ms
(+ x (/ (- x y) 2.0))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(+ x (/ (- x y) 2.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 4 (88.0ms)

IterNodesCost
09789
126181
277381
3372781
4500180

prune51.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series748.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt x) (cbrt x))
183.0ms
(cbrt x)
184.0ms
(cbrt x)
177.0ms
(cbrt x)

simplify104.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune239.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 46
Calls
4 calls:
0.0ms
(cbrt x)
2.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (* (cbrt x) (cbrt x)))
3.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.0s

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt x)
280.0ms
(cbrt (* (cbrt x) (cbrt x)))
287.0ms
(cbrt (* (cbrt x) (cbrt x)))
277.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify94.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 4 (90.0ms)

IterNodesCost
082262
1172232
2563218
32341218
45002217

prune222.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
14.0ms
(cbrt (+ x (/ (- x y) 2.0)))
11.0ms
(cbrt (+ x (/ (- x y) 2.0)))
11.0ms
(cbrt (+ x (/ (- x y) 2.0)))
96.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series1.8s

Counts
4 → 12
Calls
4 calls:
478.0ms
(cbrt (+ x (/ (- x y) 2.0)))
539.0ms
(cbrt (+ x (/ (- x y) 2.0)))
429.0ms
(cbrt (+ x (/ (- x y) 2.0)))
398.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify88.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
02701159
17831094
227301004
35001981

prune301.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073
173

end0.0ms

sample313.0ms

Algorithm
intervals
Results
135.0ms7391×body80valid
16.0ms209×body1280valid
12.0ms99×body2560valid
11.0ms161×body640valid
4.0ms94×body320valid
2.0ms49×body160valid