Details

Time bar (total: 3.8s)

sample19.0ms

Algorithm
intervals
Results
8.0ms329×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 6.4b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.1b
(* (- (* x y) (* z y)) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
22×associate-*l*
19×add-sqr-sqrt
15×*-un-lft-identity
11×associate-*r*
6×distribute-rgt-out--
5×add-cube-cbrt distribute-lft-out-- unswap-sqr
4×difference-of-squares
3×pow1 add-exp-log *-commutative add-cbrt-cube
2×associate-*l/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp flip-- cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 37
Calls
1 calls:
20.0ms
(* (- (* x y) (* z y)) t)

series46.0ms

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

simplify139.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0207202
1814176
24306172
35001172

prune68.0ms

Filtered
40 candidates to 29 candidates (72.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New34640
Fresh000
Picked011
Done000
Total34741

Merged error: 0.0b

Counts
41 → 7

localize10.0ms

Local error

Found 1 expressions with local error:

5.6b
(* (* t y) (- x z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
19×*-un-lft-identity
18×prod-diff
17×add-cube-cbrt
15×associate-*l*
11×distribute-rgt-in distribute-lft-in
8×associate-*r*
6×pow1 add-exp-log add-cbrt-cube
4×unswap-sqr
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/ *-commutative
1×expm1-log1p-u flip3-- flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 59
Calls
1 calls:
11.0ms
(* (* t y) (- x z))

series45.0ms

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

simplify52.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0338489
11362340
25002328

prune83.0ms

Filtered
62 candidates to 31 candidates (50.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New58462
Fresh325
Picked011
Done011
Total61869

Merged error: 0.0b

Counts
69 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
1.2b
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
4.6b
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
327×add-sqr-sqrt
188×unswap-sqr
138×cbrt-prod
116×associate-*l*
100×associate-*r*
92×add-cbrt-cube
91×cbrt-unprod
70×cbrt-div
67×*-un-lft-identity
42×associate-*r/
36×swap-sqr
35×flip3-- flip--
34×pow1 add-exp-log
33×add-cube-cbrt
32×frac-times
21×pow-prod-down prod-exp
16×associate-*l/
15×*-commutative distribute-lft-out--
11×difference-of-squares
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3
Counts
4 → 319
Calls
4 calls:
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
50.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
28.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

series451.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (- x z))
159.0ms
(cbrt (- x z))
49.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
84.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

simplify72.0ms

Algorithm
egg-herbie
Counts
331 → 331
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
011034182
150013498

prune581.0ms

Filtered
331 candidates to 198 candidates (59.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3310331
Fresh055
Picked011
Done022
Total3318339

Merged error: 0.0b

Counts
339 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
9.3b
(cbrt (- (* x y) (* z y)))
9.3b
(cbrt (- (* x y) (* z y)))
9.3b
(cbrt (- (* x y) (* z y)))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
228×add-sqr-sqrt
220×cbrt-prod
200×associate-*l*
188×*-un-lft-identity
119×associate-*r*
95×unswap-sqr
74×distribute-lft-out--
60×cbrt-div
50×distribute-rgt-out--
49×swap-sqr
39×add-cbrt-cube
37×cbrt-unprod
36×add-cube-cbrt
32×associate-*l/ difference-of-squares
30×flip3-- flip--
28×frac-times
26×*-commutative
16×pow1 add-exp-log
8×associate-*r/ pow-prod-down prod-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
Counts
4 → 301
Calls
4 calls:
106.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
12.0ms
(cbrt (- (* x y) (* z y)))
13.0ms
(cbrt (- (* x y) (* z y)))
13.0ms
(cbrt (- (* x y) (* z y)))

series421.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
120.0ms
(cbrt (- (* x y) (* z y)))
126.0ms
(cbrt (- (* x y) (* z y)))
124.0ms
(cbrt (- (* x y) (* z y)))

simplify157.0ms

Algorithm
egg-herbie
Counts
313 → 313
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
010655105
141884244
250023955

prune502.0ms

Filtered
313 candidates to 175 candidates (55.9%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New3130313
Fresh044
Picked011
Done033
Total3138321

Merged error: 0.0b

Counts
321 → 8

regimes303.0ms

Accuracy

81.9% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 6.5b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03931
14231
24531
34531

end0.0ms

sample525.0ms

Algorithm
intervals
Results
268.0ms10584×body80valid