Details

Time bar (total: 3.9s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite11.0ms

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 flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
10.0ms
(+ x (/ 1.0 3.0))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(+ x (/ 1.0 3.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08261
121855
253255
3151455
4500155

prune38.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
15.3b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
62×*-un-lft-identity
57×times-frac
50×add-cube-cbrt
40×prod-diff
20×difference-of-squares
7×add-log-exp
6×associate-/r* distribute-lft-out--
5×add-exp-log add-cbrt-cube
4×flip3-- fma-neg flip-- div-inv associate-/l*
3×pow1 expm1-log1p-u log1p-expm1-u
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num
Counts
3 → 129
Calls
3 calls:
13.0ms
(- x (/ 1.0 3.0))
8.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
38.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- x (/ 1.0 3.0))
41.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
92.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify89.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
06171824
126261405
250011298

prune210.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x (/ 1.0 3.0)))
0.8b
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
3.3b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
12.0b
(* (/ 1 (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))) (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))))

rewrite384.0ms

Algorithm
rewrite-expression-head
Rules
152×add-sqr-sqrt
101×times-frac
95×cbrt-prod
90×*-un-lft-identity
53×add-exp-log add-cube-cbrt
51×associate-*r*
47×difference-of-squares
30×cbrt-div
24×associate-*l*
21×prod-exp
19×add-cbrt-cube
16×flip3-- div-exp flip-- distribute-lft-out--
13×pow1 unswap-sqr
12×associate-/r/
11×swap-sqr
9×frac-times associate-/r* cbrt-unprod
8×cbrt-undiv
7×pow1/3
5×associate-*r/ associate-*l/
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp
3×pow-prod-down div-inv
2×pow-sqr *-commutative pow-prod-up associate-/l/
1×pow2 frac-2neg pow-plus div-sub clear-num
Counts
4 → 247
Calls
4 calls:
8.0ms
(cbrt (- x (/ 1.0 3.0)))
73.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
38.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
250.0ms
(* (/ 1 (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))) (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))))

series489.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(cbrt (- x (/ 1.0 3.0)))
119.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
156.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
116.0ms
(* (/ 1 (* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))) (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
259 → 259
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011994140
150013822

prune642.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x (/ 1.0 3.0)))
3.3b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
12.0b
(* (/ 1 (cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))) (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))))
15.7b
(cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
141×add-sqr-sqrt
116×times-frac
77×*-un-lft-identity
75×cbrt-prod
51×add-cube-cbrt
42×associate-*r*
39×difference-of-squares
28×add-exp-log
24×associate-*l*
22×cbrt-div
16×flip3-- flip--
15×unswap-sqr
13×add-cbrt-cube
12×associate-/r/
10×distribute-lft-out--
9×frac-times div-exp associate-/r*
8×prod-exp
6×pow1
5×cbrt-undiv associate-*r/ associate-*l/
4×expm1-log1p-u cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
3×div-inv
2×rec-exp pow1/3 1-exp associate-/l/
1×frac-2neg div-sub pow-prod-down clear-num *-commutative
Counts
4 → 212
Calls
4 calls:
9.0ms
(cbrt (- x (/ 1.0 3.0)))
35.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
103.0ms
(* (/ 1 (cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))) (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))))
21.0ms
(cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

series467.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(cbrt (- x (/ 1.0 3.0)))
151.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
112.0ms
(* (/ 1 (cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))) (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0)))))
104.0ms
(cbrt (* (- x (/ 1.0 3.0)) (- x (/ 1.0 3.0))))

simplify69.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011923891
150013674

prune665.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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
062
162

end0.0ms

sample214.0ms

Algorithm
intervals
Results
102.0ms8000×body80valid