Details

Time bar (total: 5.4s)

sample18.0ms

Algorithm
intervals
Results
7.0ms283×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
2.8b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.1b
(* y (+ 1.0 (* z z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
21×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
5×pow1 add-log-exp
4×associate-*r/
3×flip3-+ associate-*r* associate-*l* prod-exp cbrt-unprod flip-+ div-inv
2×associate-/r/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* sum-log *-commutative associate-/l/ unswap-sqr
Counts
3 → 81
Calls
3 calls:
8.0ms
(+ 1.0 (* z z))
15.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
14.0ms
(* y (+ 1.0 (* z z)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ 1.0 (* z z))
56.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
47.0ms
(* y (+ 1.0 (* z z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0432567
12077494
25002494

prune195.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.1b
(/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))
3.1b
(* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
328×times-frac
217×add-sqr-sqrt
161×*-un-lft-identity
157×add-cube-cbrt
117×add-exp-log
73×cbrt-prod
72×associate-*r*
60×div-exp
52×add-cbrt-cube
33×prod-exp
30×cbrt-undiv
25×associate-*l*
22×associate-/l*
16×unswap-sqr
15×cbrt-unprod
13×div-inv
6×pow1 rec-exp 1-exp
4×associate-/r/ add-log-exp
3×associate-/r*
2×flip3-+ pow1/3 flip-+
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 291
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt x)
17.0ms
(/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))
107.0ms
(* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))

series809.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
367.0ms
(cbrt x)
191.0ms
(/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))
76.0ms
(* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))

simplify68.0ms

Algorithm
egg-herbie
Counts
303 → 303
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015543927
150013628

prune932.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
0.2b
(/ (/ 1.0 y) x)
5.1b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
229×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
17×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
5×add-log-exp
3×pow1
2×frac-2neg flip3-+ clear-num associate-/r/ flip-+ associate-/l/
1×+-commutative sum-log
Counts
3 → 275
Calls
3 calls:
5.0ms
(+ 1.0 (* z z))
10.0ms
(/ (/ 1.0 y) x)
29.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series102.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ 1.0 (* z z))
17.0ms
(/ (/ 1.0 y) x)
51.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify110.0ms

Algorithm
egg-herbie
Counts
284 → 284
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011553050
147522970
250012970

prune748.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1 x) (sqrt (+ 1.0 (* z z))))
0.7b
(* (/ (/ 1.0 y) (sqrt (+ 1.0 (* z z)))) (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))))
16.8b
(sqrt (+ 1.0 (* z z)))
16.8b
(sqrt (+ 1.0 (* z z)))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
497×times-frac
375×add-sqr-sqrt
231×*-un-lft-identity
221×add-cube-cbrt
155×sqrt-prod
84×associate-*r* associate-*l*
73×add-exp-log
45×add-cbrt-cube
39×div-exp
35×unswap-sqr
22×div-inv
21×cbrt-undiv
15×prod-exp
13×associate-/l*
10×sqrt-div
9×cbrt-unprod
8×pow1
6×associate-/r* associate-/r/
5×flip3-+ flip-+
4×rec-exp 1-exp add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 385
Calls
4 calls:
19.0ms
(/ (/ 1 x) (sqrt (+ 1.0 (* z z))))
151.0ms
(* (/ (/ 1.0 y) (sqrt (+ 1.0 (* z z)))) (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))))
5.0ms
(sqrt (+ 1.0 (* z z)))
5.0ms
(sqrt (+ 1.0 (* z z)))

series200.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ (/ 1 x) (sqrt (+ 1.0 (* z z))))
62.0ms
(* (/ (/ 1.0 y) (sqrt (+ 1.0 (* z z)))) (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))))
46.0ms
(sqrt (+ 1.0 (* z z)))
38.0ms
(sqrt (+ 1.0 (* z z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
397 → 397
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015705406
150015036

prune831.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.1b

regimes194.0ms

Accuracy

0% (1.2b remaining)

Error of 6.0b against oracle of 4.8b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01711
11711

end0.0ms

sample464.0ms

Algorithm
intervals
Results
228.0ms8619×body80valid