Details

Time bar (total: 7.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms278×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: 6.3b

localize7.0ms

Local error

Found 2 expressions with local error:

2.9b
(* y (+ 1.0 (* z z)))
3.9b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite35.0ms

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:
17.0ms
(* y (+ 1.0 (* z z)))
15.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series110.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* y (+ 1.0 (* z z)))
57.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune149.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
5.8b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite57.0ms

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:
10.0ms
(/ (/ 1.0 y) x)
29.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (/ 1.0 y) x)
64.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify105.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011322994
145722919
250022919

prune678.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
17.0b
(sqrt (+ 1.0 (* z z)))
17.0b
(sqrt (+ 1.0 (* z z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log sqrt-div add-cbrt-cube add-log-exp
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 pow1/3 flip-+
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(sqrt (+ 1.0 (* z z)))
5.0ms
(sqrt (+ 1.0 (* z z)))

series444.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
173.0ms
(cbrt x)
44.0ms
(sqrt (+ 1.0 (* z z)))
40.0ms
(sqrt (+ 1.0 (* z z)))

simplify80.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0171286
1538276
22269268
35001266

prune220.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 4.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 y))
0.6b
(cbrt (/ 1.0 y))
2.4b
(/ (/ (cbrt (/ 1.0 y)) (cbrt x)) (+ 1.0 (* z z)))
2.7b
(* (/ (* (cbrt (/ 1.0 y)) (cbrt (/ 1.0 y))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (/ 1.0 y)) (cbrt x)) (+ 1.0 (* z z))))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
1707×times-frac
922×cbrt-prod
842×add-sqr-sqrt
788×add-cube-cbrt *-un-lft-identity
306×associate-*r*
100×associate-/l*
78×add-exp-log
54×div-inv
42×add-cbrt-cube
30×cbrt-undiv div-exp
27×prod-exp cbrt-unprod
16×unswap-sqr
6×pow1
5×associate-*l*
4×associate-/r/ add-log-exp
3×associate-/r*
2×cbrt-div flip3-+ pow1/3 flip-+
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 833
Calls
4 calls:
2.0ms
(cbrt (/ 1.0 y))
2.0ms
(cbrt (/ 1.0 y))
40.0ms
(/ (/ (cbrt (/ 1.0 y)) (cbrt x)) (+ 1.0 (* z z)))
181.0ms
(* (/ (* (cbrt (/ 1.0 y)) (cbrt (/ 1.0 y))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (/ 1.0 y)) (cbrt x)) (+ 1.0 (* z z))))

series774.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(cbrt (/ 1.0 y))
271.0ms
(cbrt (/ 1.0 y))
146.0ms
(/ (/ (cbrt (/ 1.0 y)) (cbrt x)) (+ 1.0 (* z z)))
152.0ms
(* (/ (* (cbrt (/ 1.0 y)) (cbrt (/ 1.0 y))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt (/ 1.0 y)) (cbrt x)) (+ 1.0 (* z z))))

simplify183.0ms

Algorithm
egg-herbie
Counts
845 → 845
Iterations

Useful iterations: 1 (62.0ms)

IterNodesCost
0376915526
1500115230

prune3.8s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 4.8b

regimes203.0ms

Accuracy

0% (1.2b remaining)

Error of 6.1b against oracle of 4.9b and baseline of 6.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01918
11918

end0.0ms

sample455.0ms

Algorithm
intervals
Results
226.0ms8631×body80valid