Details

Time bar (total: 4.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms277×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3784
41164
51414
61624
71754
81834
91874
101914
113024
123404
133664
144644
155334
166154
177214
188154
198244
208244

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
12.0ms
(/ (- x y) (- z y))
29.0ms
(* (/ (- x y) (- z y)) t)

series143.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- x y) (- z y))
97.0ms
(* (/ (- x y) (- z y)) t)

simplify104.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune234.0ms

Filtered
112 candidates to 76 candidates (67.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize15.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 110
Calls
4 calls:
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
94.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (cbrt (- x y)) (cbrt (- z y))) t))

series547.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- z y))
152.0ms
(cbrt (- z y))
143.0ms
(cbrt (- z y))
100.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (cbrt (- x y)) (cbrt (- z y))) t))

simplify70.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05501708
125391226
250011011

prune344.0ms

Filtered
122 candidates to 81 candidates (66.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize12.0ms

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)

rewrite108.0ms

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×expm1-log1p-u associate-*r* cbrt-unprod log1p-expm1-u 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 → 332
Calls
3 calls:
12.0ms
(/ (- z y) (- x y))
19.0ms
(/ 1 (/ (- z y) (- x y)))
54.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series336.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- z y) (- x y))
136.0ms
(/ 1 (/ (- z y) (- x y)))
154.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify94.0ms

Algorithm
egg-herbie
Counts
341 → 341
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
08852703
142142416
250012191

prune589.0ms

Filtered
341 candidates to 184 candidates (54.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
16.0ms
(/ (- z y) (- x y))
15.0ms
(/ t (/ (- z y) (- x y)))

series195.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- z y) (- x y))
144.0ms
(/ t (/ (- z y) (- x y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06421801
128871748
250011745

prune533.0ms

Filtered
204 candidates to 138 candidates (67.6%)
Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes187.0ms

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

sample473.0ms

Algorithm
intervals
Results
242.0ms8712×body80valid