Details

Time bar (total: 3.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms336×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: 6.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
6.0b
(* t (* y (- x z)))

rewrite26.0ms

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))
15.0ms
(* t (* y (- x z)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (- x z))
42.0ms
(* t (* y (- x z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201242
1924211
25001211

prune98.0ms

Filtered
60 candidates to 32 candidates (53.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
6.0b
(* t (pow (* y (- x z)) 1))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×add-exp-log
10×associate-*r*
8×*-un-lft-identity
6×add-cube-cbrt associate-*l* prod-exp add-cbrt-cube
5×pow1
3×unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ pow-prod-down pow-exp *-commutative cbrt-unprod add-log-exp sqr-pow
1×pow-to-exp unpow-prod-down flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 50
Calls
2 calls:
10.0ms
(* y (- x z))
6.0ms
(* t (pow (* y (- x z)) 1))

series77.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* y (- x z))
41.0ms
(* t (pow (* y (- x z)) 1))

simplify44.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0209231
11108208
25001203

prune119.0ms

Filtered
56 candidates to 36 candidates (64.3%)
Pruning

10 alts after pruning (9 fresh and 1 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))
0.6b
(cbrt (- x z))
6.0b
(* t (pow (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))) 1))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
18×add-sqr-sqrt
15×cbrt-prod *-un-lft-identity
12×prod-exp
9×add-cube-cbrt
6×cbrt-div add-cbrt-cube
5×pow1 associate-*r*
4×pow-exp add-log-exp
3×flip3-- pow1/3 associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×unswap-sqr sqr-pow
1×pow-to-exp unpow-prod-down pow-prod-down *-commutative cbrt-unprod
Counts
4 → 71
Calls
4 calls:
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
42.0ms
(* t (pow (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))) 1))

series470.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (- x z))
145.0ms
(cbrt (- x z))
144.0ms
(cbrt (- x z))
42.0ms
(* t (pow (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))) 1))

simplify40.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0285684
1963585
25002531

prune260.0ms

Filtered
83 candidates to 67 candidates (80.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.7b
(* (* y (- x z)) (cbrt t))
4.5b
(* (* (cbrt t) (cbrt t)) (* (* y (- x z)) (cbrt t)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*r/
4×associate-*l/ add-log-exp
2×flip3-- pow1/3 associate-*l* *-commutative flip--
Counts
4 → 75
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
14.0ms
(* (* y (- x z)) (cbrt t))
50.0ms
(* (* (cbrt t) (cbrt t)) (* (* y (- x z)) (cbrt t)))

series551.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt t)
177.0ms
(cbrt t)
132.0ms
(* (* y (- x z)) (cbrt t))
71.0ms
(* (* (cbrt t) (cbrt t)) (* (* y (- x z)) (cbrt t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0335563
11514431
25001375

prune167.0ms

Filtered
87 candidates to 57 candidates (65.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes212.0ms

Accuracy

60.8% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 7.2b

bsearch64.0ms

Steps
ItersRangePoint
8
48.29475874355119
13243.244863655478
5593.748268351953
6
-4.2812218347115756e+67
-2.7403146180401824e+66
-2.7924664594108247e+66

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0278
1298
2298

end0.0ms

sample603.0ms

Algorithm
intervals
Results
311.0ms10716×body80valid