Details

Time bar (total: 3.5s)

sample21.0ms

Algorithm
intervals
Results
7.0ms322×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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:
20.0ms
(* y (- x z))
30.0ms
(* t (* y (- x z)))

series83.0ms

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

simplify33.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201242
1924211
25001211

prune98.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

5.9b
(* t (* y (- x z)))
8.3b
(cbrt (* t (* y (- x z))))
8.3b
(cbrt (* t (* y (- x z))))
8.3b
(cbrt (* t (* y (- x z))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*r/
9×pow1 add-exp-log add-cbrt-cube
8×distribute-rgt-in distribute-lft-in
6×cbrt-div
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×sub-neg flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 61
Calls
4 calls:
31.0ms
(* t (* y (- x z)))
21.0ms
(cbrt (* t (* y (- x z))))
21.0ms
(cbrt (* t (* y (- x z))))
24.0ms
(cbrt (* t (* y (- x z))))

series651.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* t (* y (- x z)))
347.0ms
(cbrt (* t (* y (- x z))))
129.0ms
(cbrt (* t (* y (- x z))))
130.0ms
(cbrt (* t (* y (- x z))))

simplify91.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0266461
1828411
23639402
35002393

prune195.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

7.2b
(* (* t y) (- x z))

rewrite29.0ms

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:
28.0ms
(* (* t y) (- x z))

series46.0ms

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

simplify108.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0177134
1820111
24326111
35002111

prune47.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
1.8b
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
5.5b
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

rewrite286.0ms

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×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
4.0ms
(cbrt (- x z))
4.0ms
(cbrt (- x z))
209.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
62.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

series432.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- x z))
143.0ms
(cbrt (- x z))
48.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
92.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

simplify71.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05511479
121031275
250011217

prune259.0ms

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 0.0b

regimes209.0ms

Accuracy

58.5% (2.8b remaining)

Error of 2.9b against oracle of 0.1b and baseline of 6.9b

bsearch63.0ms

Steps
ItersRangePoint
10
1.3207066035718684e+39
8.055164837338419e+57
7.908353263238052e+40
8
-6.631690548859198e+89
-1.5803663399296148e+86
-1.6095819567807263e+86

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226
1226

end0.0ms

sample603.0ms

Algorithm
intervals
Results
242.0ms10633×body80valid