Details

Time bar (total: 2.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms320×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 10 (70.0ms)

IterNodesCost
0114
1204
2364
3584
4784
51014
61384
72254
85104
916824
1050013

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (- 1 y) (/ x z) y)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- 1 y) (/ x z) y)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(fma (- 1 y) (/ x z) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
03866
18259
225653
3131353
4500153

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (- 1 y) (/ x z)) y)
3.6b
(* (- 1 y) (/ x z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
6×associate-*l*
4×pow1 add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 55
Calls
2 calls:
7.0ms
(+ (* (- 1 y) (/ x z)) y)
15.0ms
(* (- 1 y) (/ x z))

series62.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* (- 1 y) (/ x z)) y)
35.0ms
(* (- 1 y) (/ x z))

simplify44.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0306322
11459297
25001287

prune168.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1 y))
0.2b
(cbrt (- 1 y))
1.5b
(* (* (cbrt (- 1 y)) (cbrt (- 1 y))) (* (cbrt (- 1 y)) (/ x z)))
2.2b
(* (cbrt (- 1 y)) (/ x z))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
116×cbrt-div
84×frac-times
58×flip3-- flip--
40×associate-*l/
34×add-sqr-sqrt
30×add-exp-log
27×associate-*r/
24×*-un-lft-identity
20×cbrt-prod
18×pow1 add-cbrt-cube
15×add-cube-cbrt prod-exp cbrt-unprod
14×associate-*r*
11×times-frac
10×associate-*l*
9×pow-prod-down
6×difference-of-squares
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out--
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 163
Calls
4 calls:
2.0ms
(cbrt (- 1 y))
2.0ms
(cbrt (- 1 y))
52.0ms
(* (* (cbrt (- 1 y)) (cbrt (- 1 y))) (* (cbrt (- 1 y)) (/ x z)))
17.0ms
(* (cbrt (- 1 y)) (/ x z))

series220.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (- 1 y))
43.0ms
(cbrt (- 1 y))
31.0ms
(* (* (cbrt (- 1 y)) (cbrt (- 1 y))) (* (cbrt (- 1 y)) (/ x z)))
108.0ms
(* (cbrt (- 1 y)) (/ x z))

simplify97.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08721984
131311782
250011719

prune470.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (sqrt (- 1 y)) (* (sqrt (- 1 y)) (/ x z))) y)
0.7b
(* (sqrt (- 1 y)) (* (sqrt (- 1 y)) (/ x z)))
1.8b
(* (sqrt (- 1 y)) (/ x z))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
28×sqrt-div
20×*-un-lft-identity
18×frac-times associate-*l*
17×add-exp-log add-cbrt-cube
14×add-cube-cbrt flip3-- associate-*r* sqrt-prod flip--
11×times-frac
10×pow1 associate-*l/
9×associate-*r/
7×prod-exp cbrt-unprod
5×add-log-exp
4×pow-prod-down difference-of-squares unswap-sqr
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv div-exp *-commutative distribute-lft-out--
1×+-commutative fma-def flip3-+ sum-log flip-+ div-inv
Counts
3 → 105
Calls
3 calls:
24.0ms
(+ (* (sqrt (- 1 y)) (* (sqrt (- 1 y)) (/ x z))) y)
31.0ms
(* (sqrt (- 1 y)) (* (sqrt (- 1 y)) (/ x z)))
22.0ms
(* (sqrt (- 1 y)) (/ x z))

series124.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* (sqrt (- 1 y)) (* (sqrt (- 1 y)) (/ x z))) y)
31.0ms
(* (sqrt (- 1 y)) (* (sqrt (- 1 y)) (/ x z)))
62.0ms
(* (sqrt (- 1 y)) (/ x z))

simplify69.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0527908
12251775
25001767

prune289.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample451.0ms

Algorithm
intervals
Results
248.0ms10088×body80valid