Details

Time bar (total: 4.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms277×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.9b
(* (/ (- x y) (- z y)) t)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
14.0ms
(/ (- x y) (- z y))
26.0ms
(* (/ (- x y) (- z y)) t)

series141.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- x y) (- z y))
95.0ms
(* (/ (- x y) (- z y)) t)

simplify93.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune213.0ms

Filtered
108 candidates to 72 candidates (66.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.7b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (cbrt (- x y)) (cbrt (- z y))) t))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
18×cbrt-div
17×cbrt-undiv div-exp
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
9×pow1 flip3-- flip--
8×add-cube-cbrt associate-/r/
5×frac-times associate-*l/
4×add-log-exp
3×pow1/3 associate-*r/ pow-prod-down distribute-lft-out-- difference-of-squares
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 102
Calls
4 calls:
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
95.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (cbrt (- x y)) (cbrt (- z y))) t))

series550.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- z y))
158.0ms
(cbrt (- z y))
147.0ms
(cbrt (- z y))
94.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (cbrt (- x y)) (cbrt (- z y))) t))

simplify68.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05421652
125101170
25003971

prune307.0ms

Filtered
114 candidates to 73 candidates (64.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.2b
(/ 1 (/ (- z y) (- x y)))
2.9b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 326
Calls
3 calls:
11.0ms
(/ (- z y) (- x y))
15.0ms
(/ 1 (/ (- z y) (- x y)))
73.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series340.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- z y) (- x y))
142.0ms
(/ 1 (/ (- z y) (- x y)))
151.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify93.0ms

Algorithm
egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
08742680
141882394
250012171

prune543.0ms

Filtered
335 candidates to 178 candidates (53.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
2.7b
(/ t (/ (- z y) (- x y)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
11.0ms
(/ (- z y) (- x y))
15.0ms
(/ t (/ (- z y) (- x y)))

series195.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- z y) (- x y))
145.0ms
(/ t (/ (- z y) (- x y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06331784
128631733
250011730

prune511.0ms

Filtered
200 candidates to 134 candidates (67.0%)
Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11618

end0.0ms

sample426.0ms

Algorithm
intervals
Results
213.0ms8712×body80valid