Details

Time bar (total: 3.9s)

sample18.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify56.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.2b
(* (/ (- x y) (- z y)) t)

rewrite23.0ms

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:
7.0ms
(/ (- x y) (- z y))
11.0ms
(* (/ (- x y) (- z y)) t)

series146.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- x y) (- z y))
99.0ms
(* (/ (- x y) (- z y)) t)

simplify98.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune204.0ms

Filtered
108 candidates to 72 candidates (66.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1017108
Fresh000
Picked011
Done000
Total1018109

Merged error: 0.0b

Counts
109 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- z y)) (cbrt (- z y)))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
10.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series572.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
150.0ms
(cbrt (- x y))
146.0ms
(cbrt (- x y))
151.0ms
(cbrt (- x y))

simplify169.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0314760
11029723
24812670
35001670

prune311.0ms

Filtered
113 candidates to 81 candidates (71.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh066
Picked011
Done011
Total1138121

Merged error: 0.0b

Counts
121 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
8.5b
(* (- x y) (/ t (- z y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
5.0ms
(/ t (- z y))
16.0ms
(* (- x y) (/ t (- z y)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ t (- z y))
61.0ms
(* (- x y) (/ t (- z y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0293474
11347437
25002437

prune160.0ms

Filtered
89 candidates to 63 candidates (70.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New88189
Fresh055
Picked011
Done022
Total88997

Merged error: 0b

Counts
97 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(* (cbrt (- z y)) (cbrt (- z y)))
0.7b
(* (/ (- x y) (cbrt (- z y))) t)
9.4b
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
89×add-exp-log
87×add-sqr-sqrt
77×*-un-lft-identity
69×associate-*l*
59×cbrt-prod
47×prod-exp
45×times-frac
35×add-cube-cbrt add-cbrt-cube
28×cbrt-div
21×cbrt-unprod
20×div-exp distribute-lft-out--
18×pow1 difference-of-squares
14×flip3-- flip--
12×associate-*r*
10×cbrt-undiv swap-sqr associate-/r/
9×frac-times
8×associate-*l/
7×pow1/3 unswap-sqr
6×rec-exp 1-exp pow-prod-down
5×associate-*r/
4×add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 196
Calls
4 calls:
3.0ms
(cbrt (- z y))
10.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
14.0ms
(* (/ (- x y) (cbrt (- z y))) t)
24.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

series669.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- z y))
122.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
250.0ms
(* (/ (- x y) (cbrt (- z y))) t)
148.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

simplify100.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
08221918
134851615
250011447

prune421.0ms

Filtered
208 candidates to 129 candidates (62.0%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2080208
Fresh055
Picked011
Done033
Total2089217

Merged error: 0b

Counts
217 → 9

regimes204.0ms

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

sample472.0ms

Algorithm
intervals
Results
260.0ms8688×body80valid