Details

Time bar (total: 2.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms342×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.9b
(- (* x y) (* z y))
6.4b
(* (- (* x y) (* z y)) t)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
associate-*r*
expm1-log1p-u flip3-- distribute-rgt-out-- associate-*l/ flip-- log1p-expm1-u
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)

series76.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (* x y) (* z y))
42.0ms
(* (- (* x y) (* z y)) t)

simplify113.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0173232
1656199
23963195
35001195

prune114.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.3b
(* (* t y) (- x z))

rewrite16.0ms

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
pow1 add-exp-log add-cbrt-cube
associate-*r*
pow-prod-down prod-exp cbrt-unprod
sub-neg associate-*r/
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:
14.0ms
(* (* t y) (- x z))

series46.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0303430
11277281
25002269

prune70.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
5.7b
(* y (* (- x z) t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
associate-*l*
*-un-lft-identity
add-cube-cbrt
associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
expm1-log1p-u flip3-- associate-*r/ *-commutative flip-- log1p-expm1-u add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
10.0ms
(* (- x z) t)
13.0ms
(* y (* (- x z) t))

series67.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- x z) t)
40.0ms
(* y (* (- x z) t))

simplify109.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0190207
1802174
24832174
35001174

prune99.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
1.6b
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
3.9b
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

rewrite143.0ms

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
associate-*r*
add-cube-cbrt
expm1-log1p-u log1p-expm1-u add-log-exp
distribute-lft-out-- difference-of-squares
pow1/3 associate-*l* *-commutative
Counts
4 → 126
Calls
4 calls:
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
103.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
29.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

series409.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- x z))
141.0ms
(cbrt (- x z))
43.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
79.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

simplify77.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05621529
121371320
250011255

prune339.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes284.0ms

Accuracy

71.5% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 6.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03019
13019

end0.0ms

sample522.0ms

Algorithm
intervals
Results
264.0ms10667×body80valid