Details

Time bar (total: 3.2s)

sample23.0ms

Algorithm
intervals
Results
9.0ms355×body80valid

simplify15.0ms

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

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* x y) (* z y))
5.1b
(* (- (* x y) (* z y)) t)

rewrite14.0ms

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))
10.0ms
(* (- (* x y) (* z y)) t)

series80.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (* x y) (* z y))
48.0ms
(* (- (* x y) (* z y)) t)

simplify103.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0173232
1656199
23963195
35001195

prune111.0ms

Filtered
46 candidates to 37 candidates (80.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.1b
(* (* t y) (- x z))

rewrite19.0ms

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:
17.0ms
(* (* t y) (- x z))

series42.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0303430
11277281
25002269

prune66.0ms

Filtered
49 candidates to 19 candidates (38.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (* t y) (- x z))
7.6b
(cbrt (* (* t y) (- x z)))
7.6b
(cbrt (* (* t y) (- x z)))
7.6b
(cbrt (* (* t y) (- x z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
6×cbrt-div
5×associate-*r*
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×sub-neg
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 85
Calls
4 calls:
14.0ms
(* (* t y) (- x z))
7.0ms
(cbrt (* (* t y) (- x z)))
7.0ms
(cbrt (* (* t y) (- x z)))
7.0ms
(cbrt (* (* t y) (- x z)))

series415.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (* t y) (- x z))
121.0ms
(cbrt (* (* t y) (- x z)))
128.0ms
(cbrt (* (* t y) (- x z)))
124.0ms
(cbrt (* (* t y) (- x z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0410775
11609599
25002578

prune425.0ms

Filtered
97 candidates to 65 candidates (67.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
1.3b
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
3.3b
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

rewrite158.0ms

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))
114.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
30.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

series415.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- x z))
145.0ms
(cbrt (- x z))
46.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
81.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

simplify67.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05621529
121371320
250011255

prune314.0ms

Filtered
138 candidates to 85 candidates (61.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

67.2% (2.1b remaining)

Error of 2.2b against oracle of 0.1b and baseline of 6.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03014
13214
23214

end0.0ms

sample573.0ms

Algorithm
intervals
Results
285.0ms10796×body80valid