Details

Time bar (total: 4.2s)

sample19.0ms

Algorithm
intervals
Results
9.0ms323×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* (- 1.0 x) y) (* x z))

rewrite6.0ms

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:
5.0ms
(+ (* (- 1.0 x) y) (* x z))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify57.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0111101
138489
2162188
3500388

prune31.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- 1.0 x) y) (* x z))
0.0b
(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.0b
(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.3b
(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
5.0ms
(+ (* (- 1.0 x) y) (* x z))
10.0ms
(sqrt (+ (* (- 1.0 x) y) (* x z)))
7.0ms
(sqrt (+ (* (- 1.0 x) y) (* x z)))
62.0ms
(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

series410.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* (- 1.0 x) y) (* x z))
169.0ms
(sqrt (+ (* (- 1.0 x) y) (* x z)))
175.0ms
(sqrt (+ (* (- 1.0 x) y) (* x z)))
34.0ms
(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0278962
11052862
25001832

prune197.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b
(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube 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 → 87
Calls
4 calls:
4.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
5.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
7.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
36.0ms
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))

series742.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
172.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
188.0ms
(cbrt (+ (* (- 1.0 x) y) (* x z)))
201.0ms
(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03791485
112301402
250021300

prune324.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))
0.3b
(cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))
0.3b
(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (* (* (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))))
0.3b
(* (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
232×sqrt-div
178×cbrt-div
140×frac-times
116×flip3-+ flip-+
52×cbrt-prod associate-*r/
46×associate-*l/
44×add-sqr-sqrt
29×sqrt-prod
23×add-cube-cbrt
22×pow1 *-un-lft-identity
15×add-exp-log associate-*l*
14×pow1/3
12×swap-sqr
10×associate-*r*
9×add-cbrt-cube unswap-sqr
8×pow-prod-down
7×prod-exp pow-prod-up cbrt-unprod
4×add-log-exp
3×pow-sqr
2×*-commutative
1×pow2 pow-plus
Counts
4 → 203
Calls
4 calls:
5.0ms
(cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))
5.0ms
(cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))
220.0ms
(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (* (* (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))))
44.0ms
(* (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))))

series561.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))
169.0ms
(cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))
38.0ms
(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (* (* (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z))))))
177.0ms
(* (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (sqrt (+ (* (- 1.0 x) y) (* x z)))))

simplify130.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
08887298
125387042
250026604

prune528.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes78.0ms

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
0114
1114

end0.0ms

sample472.0ms

Algorithm
intervals
Results
253.0ms10052×body80valid