Details

Time bar (total: 3.9s)

sample21.0ms

Algorithm
intervals
Results
10.0ms309×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune2.0ms

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: 2.9b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
2.8b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite46.0ms

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))
17.0ms
(- (/ y z) (/ t (- 1.0 z)))
21.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series116.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ t (- 1.0 z))
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
48.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0387632
11452595
25001593

prune216.0ms

Filtered
98 candidates to 71 candidates (72.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New871198
Fresh000
Picked011
Done000
Total871299

Merged error: 0.4b

Counts
99 → 12

localize15.0ms

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)) (cbrt (- 1.0 z)))
2.8b
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod add-sqr-sqrt
34×*-un-lft-identity
16×add-cube-cbrt cbrt-div
13×pow1
11×associate-*r* associate-*l*
10×swap-sqr
9×flip3-- flip--
8×add-exp-log pow1/3 associate-*r/ distribute-lft-out--
6×add-cbrt-cube difference-of-squares
5×frac-times unswap-sqr
4×add-log-exp
3×pow-prod-down associate-*l/ frac-sub
2×distribute-rgt-in sub-neg distribute-lft-in prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod
1×pow2 pow-plus
Counts
4 → 113
Calls
4 calls:
3.0ms
(cbrt (- 1.0 z))
3.0ms
(cbrt (- 1.0 z))
10.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
8.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

series352.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (- 1.0 z))
87.0ms
(cbrt (- 1.0 z))
103.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
50.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

simplify66.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05031197
120051105
250011023

prune334.0ms

Filtered
125 candidates to 89 candidates (71.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1232125
Fresh4610
Picked101
Done011
Total1289137

Merged error: 0.0b

Counts
137 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.8b
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×associate-*r/ add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×flip3-- pow-prod-down prod-exp *-commutative frac-sub flip-- cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
9.0ms
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

series605.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt t)
177.0ms
(cbrt t)
179.0ms
(cbrt t)
67.0ms
(* x (- (/ y z) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (- 1.0 z)))))

simplify33.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0206477
1856417
25001387

prune180.0ms

Filtered
70 candidates to 57 candidates (81.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh167
Picked011
Done011
Total70979

Merged error: 0.0b

Counts
79 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
2.4b
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
18×pow1 add-exp-log
11×associate-*r* add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt associate-*r/ pow-prod-down prod-exp cbrt-unprod
8×times-frac
7×associate-*l*
6×sub-neg
4×distribute-lft-out-- add-log-exp difference-of-squares
2×flip3-- pow1/3 *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
26.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
22.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

series596.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt x)
177.0ms
(cbrt x)
72.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
155.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0426899
11903709
25001639

prune189.0ms

Filtered
103 candidates to 67 candidates (65.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1021103
Fresh066
Picked011
Done022
Total10210112

Merged error: 0.0b

Counts
112 → 10

regimes284.0ms

Accuracy

39.4% (2.8b remaining)

Error of 2.8b against oracle of 0.1b and baseline of 4.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03229
13429
23429

end0.0ms

sample609.0ms

Algorithm
intervals
Results
362.0ms10077×body80valid