Details

Time bar (total: 7.8s)

sample24.0ms

Algorithm
intervals
Results
14.0ms273×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize7.0ms

Local error

Found 2 expressions with local error:

3.8b
(* y (+ 1.0 (* z z)))
4.2b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
7.0ms
(* y (+ 1.0 (* z z)))
7.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series33.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* y (+ 1.0 (* z z)))
22.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0409511
11963443
25001443

prune451.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.1b

localize12.0ms

Local error

Found 2 expressions with local error:

2.7b
(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))
4.4b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
167×add-sqr-sqrt
141×add-cube-cbrt *-un-lft-identity
72×associate-*r*
65×cbrt-prod
43×add-exp-log
33×add-cbrt-cube
22×associate-/l*
18×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×div-inv
8×unswap-sqr
7×associate-*l*
4×pow1 associate-/r/
3×associate-/r*
2×flip3-+ flip-+ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 225
Calls
2 calls:
10.0ms
(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))
45.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))

series42.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))
24.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011932982
150022780

prune2.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.1b

localize20.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (* (cbrt (/ (cbrt 1.0) x)) (cbrt (/ (cbrt 1.0) x))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))
15.9b
(cbrt (+ 1.0 (* z z)))
15.9b
(cbrt (+ 1.0 (* z z)))
15.9b
(cbrt (+ 1.0 (* z z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-div
16×add-exp-log
9×cbrt-prod flip3-+ flip-+
8×associate-/r/ add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×frac-times
4×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3 associate-*r/ associate-*l/ associate-/l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 71
Calls
4 calls:
14.0ms
(/ (* (cbrt (/ (cbrt 1.0) x)) (cbrt (/ (cbrt 1.0) x))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))
1.0ms
(cbrt (+ 1.0 (* z z)))
1.0ms
(cbrt (+ 1.0 (* z z)))
2.0ms
(cbrt (+ 1.0 (* z z)))

series109.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ (* (cbrt (/ (cbrt 1.0) x)) (cbrt (/ (cbrt 1.0) x))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))
11.0ms
(cbrt (+ 1.0 (* z z)))
11.0ms
(cbrt (+ 1.0 (* z z)))
11.0ms
(cbrt (+ 1.0 (* z z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04751049
11612901
25001864

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ 1.0 y) x)
6.6b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 264
Calls
2 calls:
6.0ms
(/ (/ 1.0 y) x)
18.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (/ 1.0 y) x)
20.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify107.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
011322994
145722919
250022919

prune2.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.1b

regimes733.0ms

Accuracy

0% (1.0b remaining)

Error of 5.8b against oracle of 4.8b and baseline of 5.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02128
12128

end0.0ms

sample623.0ms

Algorithm
intervals
Results
441.0ms8617×body80valid