Details

Time bar (total: 2.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms351×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
5.9b
(* t (* y (- x z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
10.0ms
(* y (- x z))
12.0ms
(* t (* y (- x z)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* y (- x z))
46.0ms
(* t (* y (- x z)))

simplify35.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201242
1924211
25001211

prune100.0ms

Filtered
60 candidates to 32 candidates (53.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
15.0ms
(* (* t y) (- x z))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* (* t y) (- x z))

simplify103.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0177134
1820111
24326111
35002111

prune63.0ms

Filtered
29 candidates to 15 candidates (51.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* t y) x) (* (* t y) (- z)))
2.5b
(* (* t y) x)
3.6b
(* (* t y) (- z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log associate-*r* add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
5×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×associate-*l* *-commutative
1×+-commutative neg-mul-1 flip3-+ unsub-neg sum-log flip-+ distribute-lft-out
Counts
3 → 58
Calls
3 calls:
6.0ms
(+ (* (* t y) x) (* (* t y) (- z)))
6.0ms
(* (* t y) x)
8.0ms
(* (* t y) (- z))

series121.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ (* (* t y) x) (* (* t y) (- z)))
24.0ms
(* (* t y) x)
31.0ms
(* (* t y) (- z))

simplify68.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0291299
11716249
25002243

prune149.0ms

Filtered
67 candidates to 47 candidates (70.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
1.0b
(* (* (* t y) (* (cbrt z) (cbrt z))) (- (cbrt z)))
2.5b
(* (* t y) x)
2.9b
(* (* t y) (* (cbrt z) (cbrt z)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
39×pow1 add-exp-log
31×add-cbrt-cube
24×pow-prod-down prod-exp cbrt-unprod
20×associate-*r*
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod
6×distribute-lft-neg-in distribute-rgt-neg-in
4×add-log-exp
3×associate-*l* *-commutative
1×neg-mul-1 pow1/3 distribute-rgt-neg-out
Counts
4 → 92
Calls
4 calls:
0.0ms
(cbrt z)
53.0ms
(* (* (* t y) (* (cbrt z) (cbrt z))) (- (cbrt z)))
6.0ms
(* (* t y) x)
14.0ms
(* (* t y) (* (cbrt z) (cbrt z)))

series377.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt z)
53.0ms
(* (* (* t y) (* (cbrt z) (cbrt z))) (- (cbrt z)))
24.0ms
(* (* t y) x)
108.0ms
(* (* t y) (* (cbrt z) (cbrt z)))

simplify82.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0417712
12885520
25002460

prune233.0ms

Filtered
104 candidates to 66 candidates (63.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

47.7% (3.4b remaining)

Error of 3.5b against oracle of 0.1b and baseline of 6.5b

bsearch61.0ms

Steps
ItersRangePoint
8
5.355465120924082e-156
9.03152404884134e-152
4.223491639364106e-153
7
-3.365463701024246e+35
-1.882725008836668e+33
-2.864653131340836e+34

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0299
1339
2409
3409

end0.0ms

sample544.0ms

Algorithm
intervals
Results
287.0ms10736×body80valid