Details

Time bar (total: 6.1s)

sample14.0ms

Algorithm
intervals
Results
5.0ms269×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: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- 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:
25.0ms
(/ (- x y) (- z y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (- x y) (- z y))

simplify54.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0228361
1634347
22142347
35002347

prune112.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite171.0ms

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:
99.0ms
(- (/ x (- z y)) (/ y (- z y)))
13.0ms
(/ x (- z y))
10.0ms
(/ y (- z y))

series140.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- (/ x (- z y)) (/ y (- z y)))
27.0ms
(/ x (- z y))
49.0ms
(/ y (- z y))

simplify173.0ms

Algorithm
egg-herbie
Counts
580 → 580
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0120915592
1324011621
2500110388

prune686.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
0.0b
(/ (- z y) x)
0.0b
(/ y (- z y))
0.6b
(/ 1 (/ (- z y) x))

rewrite634.0ms

Algorithm
rewrite-expression-head
Rules
3342×times-frac
2513×add-sqr-sqrt
2496×*-un-lft-identity
1672×add-cube-cbrt
1302×prod-diff
414×difference-of-squares
409×distribute-lft-out--
158×div-inv
149×associate-/r/
65×flip3-- flip--
62×fma-neg
27×associate-/r*
19×add-exp-log
13×add-cbrt-cube
11×associate-/l*
9×div-exp
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×rec-exp 1-exp associate-/l/
1×sub-neg pow-flip diff-log div-sub frac-sub inv-pow
Counts
4 → 1574
Calls
4 calls:
175.0ms
(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
16.0ms
(/ (- z y) x)
11.0ms
(/ y (- z y))
16.0ms
(/ 1 (/ (- z y) x))

series258.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
24.0ms
(/ (- z y) x)
40.0ms
(/ y (- z y))
64.0ms
(/ 1 (/ (- z y) x))

simplify384.0ms

Algorithm
egg-herbie
Counts
1586 → 1586
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0278550290
1500237733

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ y (- z y))) (cbrt (/ y (- z y))))
6.4b
(cbrt (/ y (- z y)))
6.4b
(cbrt (/ y (- z y)))
6.4b
(cbrt (/ y (- z y)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
171×cbrt-prod
141×add-sqr-sqrt
135×*-un-lft-identity
123×times-frac
75×add-cube-cbrt
30×swap-sqr
27×distribute-lft-out--
24×associate-*r* associate-*l*
21×difference-of-squares
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 → 206
Calls
4 calls:
59.0ms
(* (cbrt (/ y (- z y))) (cbrt (/ y (- z y))))
5.0ms
(cbrt (/ y (- z y)))
5.0ms
(cbrt (/ y (- z y)))
6.0ms
(cbrt (/ y (- z y)))

series797.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (cbrt (/ y (- z y))) (cbrt (/ y (- z y))))
202.0ms
(cbrt (/ y (- z y)))
211.0ms
(cbrt (/ y (- z y)))
198.0ms
(cbrt (/ y (- z y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03172006
110601953
250011873

prune662.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1116

end0.0ms

sample376.0ms

Algorithm
intervals
Results
156.0ms8340×body80valid