Details

Time bar (total: 4.6s)

sample20.0ms

Algorithm
intervals
Results
10.0ms274×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize7.0ms

Local error

Found 2 expressions with local error:

3.8b
(* y (+ 1.0 (* z z)))
4.7b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite17.0ms

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))))

series129.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* y (+ 1.0 (* z z)))
69.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0409511
11963443
25001443

prune188.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
6.1b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite39.0ms

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)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (/ 1.0 y) x)
71.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify115.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011322994
145722919
250022919

prune805.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 x) (sqrt (+ 1.0 (* z z))))
1.3b
(* (/ (/ 1.0 y) (sqrt (+ 1.0 (* z z)))) (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))))
16.4b
(sqrt (+ 1.0 (* z z)))
16.4b
(sqrt (+ 1.0 (* z z)))

rewrite177.0ms

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:
9.0ms
(/ (/ 1 x) (sqrt (+ 1.0 (* z z))))
138.0ms
(* (/ (/ 1.0 y) (sqrt (+ 1.0 (* z z)))) (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))))
3.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ (/ 1 x) (sqrt (+ 1.0 (* z z))))
78.0ms
(* (/ (/ 1.0 y) (sqrt (+ 1.0 (* z z)))) (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))))
47.0ms
(sqrt (+ 1.0 (* z z)))
54.0ms
(sqrt (+ 1.0 (* z z)))

simplify77.0ms

Algorithm
egg-herbie
Counts
397 → 397
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015755408
150015036

prune941.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 y))
0.6b
(cbrt (/ 1.0 y))
16.4b
(sqrt (+ 1.0 (* z z)))
16.4b
(sqrt (+ 1.0 (* z z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×times-frac
6×pow1 sqrt-prod
4×add-exp-log sqrt-div add-cbrt-cube add-log-exp
2×rem-sqrt-square cbrt-div sqrt-pow1 flip3-+ pow1/2 pow1/3 flip-+ div-inv
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt (/ 1.0 y))
2.0ms
(cbrt (/ 1.0 y))
3.0ms
(sqrt (+ 1.0 (* z z)))
5.0ms
(sqrt (+ 1.0 (* z z)))

series531.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(cbrt (/ 1.0 y))
214.0ms
(cbrt (/ 1.0 y))
52.0ms
(sqrt (+ 1.0 (* z z)))
49.0ms
(sqrt (+ 1.0 (* z z)))

simplify112.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0218480
1651466
22934452
35001452

prune312.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 5.1b

regimes261.0ms

Accuracy

0% (1.0b remaining)

Error of 6.2b against oracle of 5.1b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01711
11711

end0.0ms

sample422.0ms

Algorithm
intervals
Results
244.0ms8599×body80valid