Details

Time bar (total: 3.4s)

sample14.0ms

Algorithm
intervals
Results
5.0ms269×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite23.0ms

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 frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
21.0ms
(/ (- x y) (- z y))

series45.0ms

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

simplify49.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0223354
1618340
22045340
35001340

prune96.0ms

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))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
57×add-sqr-sqrt
48×times-frac
25×add-cube-cbrt
20×distribute-lft-out--
14×difference-of-squares
10×associate-/r*
8×associate-/r/
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×div-inv
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 103
Calls
3 calls:
78.0ms
(- (/ x (- z y)) (/ y (- z y)))
11.0ms
(/ x (- z y))
11.0ms
(/ y (- z y))

series123.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (/ x (- z y)) (/ y (- z y)))
25.0ms
(/ x (- z y))
39.0ms
(/ y (- z y))

simplify66.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0298616
1858594
22468594
35002594

prune211.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
153×add-sqr-sqrt
136×*-un-lft-identity
80×add-cube-cbrt
30×difference-of-squares
27×associate-/r*
25×distribute-lft-out--
19×add-exp-log
13×add-cbrt-cube
11×associate-/l*
9×div-exp
8×div-inv
6×add-log-exp
5×pow1 cbrt-undiv
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×rec-exp 1-exp associate-/l/
1×sub-neg pow-flip diff-log div-sub frac-sub inv-pow
Counts
4 → 202
Calls
4 calls:
132.0ms
(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
15.0ms
(/ (- z y) x)
11.0ms
(/ y (- z y))
17.0ms
(/ 1 (/ (- z y) x))

series245.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
23.0ms
(/ (- z y) x)
42.0ms
(/ y (- z y))
56.0ms
(/ 1 (/ (- z y) x))

simplify59.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
06231500
125781266
250021246

prune315.0ms

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×add-cbrt-cube 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 → 198
Calls
4 calls:
60.0ms
(* (cbrt (/ y (- z y))) (cbrt (/ y (- z y))))
6.0ms
(cbrt (/ y (- z y)))
8.0ms
(cbrt (/ y (- z y)))
6.0ms
(cbrt (/ y (- z y)))

series710.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (cbrt (/ y (- z y))) (cbrt (/ y (- z y))))
181.0ms
(cbrt (/ y (- z y)))
182.0ms
(cbrt (/ y (- z y)))
179.0ms
(cbrt (/ y (- z y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03091966
110421913
250011833

prune571.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes71.0ms

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

sample379.0ms

Algorithm
intervals
Results
155.0ms8340×body80valid