Details

Time bar (total: 3.6s)

sample28.0ms

Algorithm
intervals
Results
17.0ms336×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(- (* x y) (* z y))
7.4b
(* (- (* x y) (* z y)) t)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-- distribute-rgt-out-- associate-*l/ flip-- log1p-expm1-u
1×sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
3.0ms
(- (* x y) (* z y))
9.0ms
(* (- (* x y) (* z y)) t)

series78.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- (* x y) (* z y))
46.0ms
(* (- (* x y) (* z y)) t)

simplify107.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0173232
1656199
23963195
35001195

prune112.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

5.9b
(* (* t y) (- x z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
13.0ms
(* (* t y) (- x z))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* (* t y) (- x z))

simplify43.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0303430
11277281
25002269

prune81.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

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)))
4.9b
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 126
Calls
4 calls:
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
108.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
28.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

series404.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (- x z))
142.0ms
(cbrt (- x z))
41.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
81.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

simplify75.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05621529
121371320
250011255

prune341.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
10.6b
(cbrt (- (* x y) (* z y)))
10.6b
(cbrt (- (* x y) (* z y)))
10.6b
(cbrt (- (* x y) (* z y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*l/
30×flip3-- flip--
28×frac-times
16×pow1 add-exp-log
12×cbrt-prod
10×add-cbrt-cube
8×associate-*r/ pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-rgt-out-- pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 98
Calls
4 calls:
47.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
2.0ms
(cbrt (- (* x y) (* z y)))
2.0ms
(cbrt (- (* x y) (* z y)))
2.0ms
(cbrt (- (* x y) (* z y)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
115.0ms
(cbrt (- (* x y) (* z y)))
117.0ms
(cbrt (- (* x y) (* z y)))
112.0ms
(cbrt (- (* x y) (* z y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04951846
114431619
250021521

prune306.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0b

regimes401.0ms

Accuracy

78.4% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 6.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03014
13214
23214

end0.0ms

sample815.0ms

Algorithm
intervals
Results
550.0ms10623×body80valid