Details

Time bar (total: 4.0s)

sample25.0ms

Algorithm
intervals
Results
13.0ms329×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 3.4b

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)))
3.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite49.0ms

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)))
22.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series117.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ t (- 1.0 z))
34.0ms
(- (/ y z) (/ t (- 1.0 z)))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify52.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0387632
11452595
25002593

prune223.0ms

Filtered
98 candidates to 71 candidates (72.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New851398
Fresh000
Picked101
Done000
Total861399

Merged error: 0.9b

Counts
99 → 13

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
3.2b
(* x (neg (/ t (- 1.0 z))))
5.8b
(* x (/ y z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
61×*-un-lft-identity
59×associate-*r*
55×times-frac
41×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
12×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
7×pow1
6×associate-*l* associate-/r/
5×associate-/r*
4×div-inv
3×flip3-- prod-exp flip-- cbrt-unprod associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative
1×neg-mul-1 frac-2neg clear-num distribute-rgt-neg-out distribute-neg-frac
Counts
3 → 132
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
13.0ms
(* x (neg (/ t (- 1.0 z))))
6.0ms
(* x (/ y z))

series118.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ t (- 1.0 z))
57.0ms
(* x (neg (/ t (- 1.0 z))))
23.0ms
(* x (/ y z))

simplify78.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0592708
12770661
25002661

prune315.0ms

Filtered
141 candidates to 104 candidates (73.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1365141
Fresh5712
Picked101
Done000
Total14212154

Merged error: 0.0b

Counts
154 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.9b
(* x (neg (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))
5.8b
(* x (/ y z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
43×associate-*r*
25×add-sqr-sqrt
24×cbrt-div
18×add-cube-cbrt *-un-lft-identity
16×associate-/r/
13×distribute-lft-neg-in distribute-rgt-neg-in
12×flip3-- times-frac flip--
11×add-exp-log add-cbrt-cube
8×pow1 frac-times
6×cbrt-prod associate-*r/ associate-*l*
4×associate-*l/ add-log-exp
3×prod-exp cbrt-unprod div-inv unswap-sqr
2×pow1/3 pow-prod-down *-commutative
1×cbrt-undiv neg-mul-1 div-exp distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
10.0ms
(* x (neg (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))
6.0ms
(* x (/ y z))

series583.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt t)
178.0ms
(cbrt t)
208.0ms
(* x (neg (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))
20.0ms
(* x (/ y z))

simplify72.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0603905
12658787
25001775

prune369.0ms

Filtered
113 candidates to 89 candidates (78.8%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh01111
Picked011
Done000
Total11312125

Merged error: 0.0b

Counts
125 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
1.8b
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

rewrite55.0ms

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)
24.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
25.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

series586.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
185.0ms
(cbrt x)
67.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
153.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))

simplify67.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0426899
11903709
25002639

prune197.0ms

Filtered
103 candidates to 69 candidates (67.0%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh01010
Picked011
Done011
Total10213115

Merged error: 0b

Counts
115 → 13

regimes365.0ms

Accuracy

28.1% (3.3b remaining)

Error of 3.4b against oracle of 0.1b and baseline of 4.7b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05032
16432
26932
37032
47032

end0.0ms

sample612.0ms

Algorithm
intervals
Results
358.0ms10158×body80valid

Profiling

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