Details

Time bar (total: 5.5s)

sample30.0ms

Algorithm
intervals
Results
10.0ms319×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.7b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
3.5b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
22.0ms
(- (/ y z) (/ t (- 1.0 z)))
23.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ t (- 1.0 z))
37.0ms
(- (/ y z) (/ t (- 1.0 z)))
45.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0387632
11452595
25002593

prune400.0ms

Filtered
98 candidates to 71 candidates (72.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New881098
Fresh000
Picked011
Done000
Total881199

Merged error: 0.5b

Counts
99 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 z))
0.3b
(cbrt (- 1.0 z))
0.3b
(cbrt (- 1.0 z))
3.5b
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×cbrt-prod *-un-lft-identity
9×add-cube-cbrt
6×pow1 add-exp-log cbrt-div associate-*r/ add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l* frac-sub distribute-lft-out-- difference-of-squares
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-times pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
3.0ms
(cbrt (- 1.0 z))
3.0ms
(cbrt (- 1.0 z))
3.0ms
(cbrt (- 1.0 z))
9.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

series327.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (- 1.0 z))
92.0ms
(cbrt (- 1.0 z))
93.0ms
(cbrt (- 1.0 z))
49.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0370866
11422790
25001709

prune444.0ms

Filtered
84 candidates to 68 candidates (81.0%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh099
Picked011
Done011
Total831295

Merged error: 0.5b

Counts
95 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(* (cbrt x) (cbrt x))
1.4b
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
2.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
27×*-un-lft-identity
25×pow1
23×cbrt-prod
20×add-exp-log
17×associate-*r*
16×add-cube-cbrt
13×associate-*l*
11×pow-prod-down add-cbrt-cube
10×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
9×associate-*r/
8×times-frac
7×pow1/3
6×sub-neg swap-sqr unswap-sqr
4×distribute-lft-out-- add-log-exp difference-of-squares
3×*-commutative
2×flip3-- pow-sqr pow-prod-up frac-sub flip--
1×pow2 pow-plus
Counts
4 → 120
Calls
4 calls:
1.0ms
(cbrt x)
5.0ms
(* (cbrt x) (cbrt x))
28.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
28.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

series596.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt x)
202.0ms
(* (cbrt x) (cbrt x))
151.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
72.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

simplify87.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
04851031
12414819
25002747

prune498.0ms

Filtered
132 candidates to 85 candidates (64.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1275132
Fresh549
Picked101
Done112
Total13410144

Merged error: 0.0b

Counts
144 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.8b
(* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z))))
1.0b
(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z)))))
2.4b
(* (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z))))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1 add-exp-log
40×pow-prod-down prod-exp cbrt-unprod
34×distribute-rgt-in distribute-lft-in
30×add-cbrt-cube
28×add-sqr-sqrt
21×cbrt-prod *-un-lft-identity
18×associate-*r/
14×sub-neg
12×associate-*r*
11×associate-*l*
10×add-cube-cbrt
8×times-frac
4×distribute-lft-out-- add-log-exp difference-of-squares
3×flip3-- *-commutative frac-sub flip-- unswap-sqr
1×pow1/3
Counts
4 → 146
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
29.0ms
(* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z))))
29.0ms
(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z)))))
42.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z))))))

series681.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt (cbrt x))
216.0ms
(* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z))))
154.0ms
(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z)))))
67.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (- (/ y z) (/ t (- 1.0 z))))))

simplify100.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07372637
133401725
250011557

prune476.0ms

Filtered
158 candidates to 83 candidates (52.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1580158
Fresh088
Picked011
Done011
Total15810168

Merged error: 0.0b

Counts
168 → 10

regimes591.0ms

Accuracy

65.4% (1.6b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 4.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05246
16346
26646
36646

end0.0ms

sample760.0ms

Algorithm
intervals
Results
331.0ms10051×body80valid

Profiling

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