Details

Time bar (total: 3.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms284×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
0.8b
(* (/ (- x y) (- z y)) t)

rewrite24.0ms

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:
8.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series148.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- x y) (- z y))
100.0ms
(* (/ (- x y) (- z y)) t)

simplify103.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune231.0ms

Filtered
112 candidates to 76 candidates (67.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1066112
Fresh000
Picked101
Done000
Total1076113

Merged error: 0b

Counts
113 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 109
Calls
4 calls:
10.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series576.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
152.0ms
(cbrt (- x y))
147.0ms
(cbrt (- x y))
153.0ms
(cbrt (- x y))

simplify158.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (148.0ms)

IterNodesCost
0270790
1950753
24639700
35001694

prune385.0ms

Filtered
121 candidates to 89 candidates (73.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1210121
Fresh055
Picked011
Done000
Total1216127

Merged error: 0b

Counts
127 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.1b
(/ 1 (/ (- z y) (- x y)))
0.8b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite70.0ms

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:
9.0ms
(/ (- z y) (- x y))
12.0ms
(/ 1 (/ (- z y) (- x y)))
25.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series343.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- z y) (- x y))
131.0ms
(/ 1 (/ (- z y) (- x y)))
159.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
341 → 341
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08852703
142142416
250012191

prune587.0ms

Filtered
341 candidates to 184 candidates (54.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3410341
Fresh044
Picked011
Done011
Total3416347

Merged error: 0b

Counts
347 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
9.9b
(* (- x y) (/ t (- z y)))

rewrite21.0ms

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 expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
5.0ms
(/ t (- z y))
13.0ms
(* (- x y) (/ t (- z y)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ t (- z y))
68.0ms
(* (- x y) (/ t (- z y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0301489
11365452
25001452

prune187.0ms

Filtered
93 candidates to 67 candidates (72.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh033
Picked011
Done022
Total93699

Merged error: 0b

Counts
99 → 6

regimes164.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11618

end0.0ms

sample454.0ms

Algorithm
intervals
Results
234.0ms8779×body80valid