Details

Time bar (total: 8.4s)

sample16.0ms

Algorithm
intervals
Results
5.0ms309×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1193
2283
3403
4503
5733
61023
71183
81453
91743
101903
111903

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:
20.0ms
(+ x (/ (- y x) z))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(+ x (/ (- y x) z))

simplify33.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09089
129881
2119081
3500281

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))
0.6b
(cbrt (+ x (/ (- y x) z)))
0.6b
(cbrt (+ x (/ (- y x) z)))
0.6b
(cbrt (+ x (/ (- y x) z)))

rewrite208.0ms

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:
150.0ms
(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))
18.0ms
(cbrt (+ x (/ (- y x) z)))
17.0ms
(cbrt (+ x (/ (- y x) z)))
20.0ms
(cbrt (+ x (/ (- y x) z)))

series798.0ms

Counts
4 → 12
Calls
4 calls:
288.0ms
(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))
171.0ms
(cbrt (+ x (/ (- y x) z)))
168.0ms
(cbrt (+ x (/ (- y x) z)))
170.0ms
(cbrt (+ x (/ (- y x) z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
02921213
19731147
250011057

prune252.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

4.3b
(- (* x x) (* (/ (- y x) z) (/ (- y x) z)))
14.8b
(/ (* (cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z)))) (cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))) (* (cbrt (- x (/ (- y x) z))) (cbrt (- x (/ (- y x) z)))))
29.5b
(cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))
29.5b
(cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
15×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u
3×difference-of-squares
2×pow1/3
1×sub-neg frac-2neg times-frac fma-neg diff-log prod-diff clear-num associate-/r* div-inv associate-/l*
Counts
4 → 88
Calls
4 calls:
9.0ms
(- (* x x) (* (/ (- y x) z) (/ (- y x) z)))
74.0ms
(/ (* (cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z)))) (cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))) (* (cbrt (- x (/ (- y x) z))) (cbrt (- x (/ (- y x) z)))))
6.0ms
(cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))
6.0ms
(cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))

series5.9s

Counts
4 → 12
Calls
4 calls:
96.0ms
(- (* x x) (* (/ (- y x) z) (/ (- y x) z)))
5.3s
(/ (* (cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z)))) (cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))) (* (cbrt (- x (/ (- y x) z))) (cbrt (- x (/ (- y x) z)))))
242.0ms
(cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))
246.0ms
(cbrt (- (* x x) (* (/ (- y x) z) (/ (- y x) z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04661981
116631651
250011614

prune361.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes69.0ms

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

sample442.0ms

Algorithm
intervals
Results
181.0ms10049×body80valid