Details

Time bar (total: 6.3s)

sample29.0ms

Algorithm
intervals
Results
20.0ms279×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 2 expressions with local error:

3.4b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.1b
(* 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×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u 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 → 74
Calls
2 calls:
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
7.0ms
(* y (+ 1.0 (* z z)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
54.0ms
(* y (+ 1.0 (* z z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0416531
12028428
25001420

prune186.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ 1.0 x))
0.6b
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.8b
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
5.1b
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
183×add-sqr-sqrt
172×cbrt-prod
135×add-cube-cbrt *-un-lft-identity
70×associate-*r*
29×add-exp-log
23×associate-*l*
19×add-cbrt-cube
17×unswap-sqr
16×swap-sqr associate-/l*
15×div-inv
13×pow1
9×prod-exp cbrt-unprod
8×cbrt-undiv div-exp
7×pow1/3
6×cbrt-div
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow-prod-down associate-/r*
2×frac-times flip3-+ associate-*r/ associate-*l/ pow-sqr *-commutative pow-prod-up flip-+
1×pow2 frac-2neg pow-plus clear-num associate-/l/
Counts
4 → 283
Calls
4 calls:
1.0ms
(cbrt (/ 1.0 x))
17.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
9.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
51.0ms
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

series769.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt (/ 1.0 x))
240.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
186.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
131.0ms
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

simplify56.0ms

Algorithm
egg-herbie
Counts
295 → 295
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010263347
150013128

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ 1.0 y) x)
6.9b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite42.0ms

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 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 268
Calls
2 calls:
6.0ms
(/ (/ 1.0 y) x)
20.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series77.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (/ 1.0 y) x)
59.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify114.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
011383012
145962854
250022850

prune711.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 2 expressions with local error:

3.2b
(/ (/ (/ (cbrt 1.0) y) (fma z z 1.0)) x)
4.5b
(/ (/ (cbrt 1.0) y) (fma z z 1.0))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
828×times-frac
396×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×cbrt-prod
92×associate-/l*
22×div-inv
16×add-exp-log
14×add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 410
Calls
2 calls:
23.0ms
(/ (/ (/ (cbrt 1.0) y) (fma z z 1.0)) x)
11.0ms
(/ (/ (cbrt 1.0) y) (fma z z 1.0))

series258.0ms

Counts
2 → 6
Calls
2 calls:
136.0ms
(/ (/ (/ (cbrt 1.0) y) (fma z z 1.0)) x)
122.0ms
(/ (/ (cbrt 1.0) y) (fma z z 1.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
416 → 416
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
015435227
150015146

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.4b

regimes201.0ms

Accuracy

40.3% (0.6b remaining)

Error of 5.5b against oracle of 4.9b and baseline of 5.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02311
12311

end0.0ms

sample826.0ms

Algorithm
intervals
Results
642.0ms8663×body80valid