Details

Time bar (total: 6.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms268×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1163
2183
3183

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- x y) (- z y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 54
Calls
1 calls:
24.0ms
(/ (- x y) (- z y))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (- x y) (- z y))

simplify56.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0228361
1634347
22142347
35002347

prune114.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
712×*-un-lft-identity
702×add-sqr-sqrt
693×times-frac
441×prod-diff
412×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 571
Calls
3 calls:
11.0ms
(/ y (- z y))
11.0ms
(/ x (- z y))
109.0ms
(- (/ x (- z y)) (/ y (- z y)))

series155.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ y (- z y))
32.0ms
(/ x (- z y))
77.0ms
(- (/ x (- z y)) (/ y (- z y)))

simplify180.0ms

Algorithm
egg-herbie
Counts
580 → 580
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0120915592
1324211621
2500110388

prune695.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
2.8b
(cbrt (/ (- x y) (- z y)))
2.8b
(cbrt (/ (- x y) (- z y)))
2.8b
(cbrt (/ (- x y) (- z y)))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 284
Calls
4 calls:
101.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
9.0ms
(cbrt (/ (- x y) (- z y)))
9.0ms
(cbrt (/ (- x y) (- z y)))
9.0ms
(cbrt (/ (- x y) (- z y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
299.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
336.0ms
(cbrt (/ (- x y) (- z y)))
334.0ms
(cbrt (/ (- x y) (- z y)))
339.0ms
(cbrt (/ (- x y) (- z y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
296 → 296
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05563688
117913618
250013416

prune773.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))))
2.8b
(cbrt (/ (- x y) (- z y)))
2.8b
(cbrt (/ (- x y) (- z y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-prod
70×add-sqr-sqrt *-un-lft-identity
51×times-frac
28×add-cube-cbrt
21×distribute-lft-out-- difference-of-squares
17×cbrt-div
12×associate-/r/
9×flip3-- flip--
4×pow1 add-exp-log expm1-log1p-u frac-times pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×div-inv
2×associate-*r/ associate-*l/
Counts
4 → 125
Calls
4 calls:
8.0ms
(cbrt (- x y))
26.0ms
(cbrt (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))))
10.0ms
(cbrt (/ (- x y) (- z y)))
9.0ms
(cbrt (/ (- x y) (- z y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (- x y))
303.0ms
(cbrt (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))))
339.0ms
(cbrt (/ (- x y) (- z y)))
338.0ms
(cbrt (/ (- x y) (- z y)))

simplify120.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
05771504
113201451
244781430
350011425

prune619.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes84.0ms

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
075

end0.0ms

sample394.0ms

Algorithm
intervals
Results
159.0ms8367×body80valid