Details

Time bar (total: 8.0s)

sample39.0ms

Algorithm
intervals
Results
9.0ms253×body80valid
3.0ms21×body640valid
2.0ms11×body1280valid
1.0ms8×body320valid
0.0ms7×body160valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0236
1446
21226
33276
48686
517276
635446
750016

prune9.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.3b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.0b
(+ x (* (- y z) (/ (- t x) (- a z))))
6.1b
(* (- y z) (/ (- t x) (- a z)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
8.0ms
(/ (- t x) (- a z))
3.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
16.0ms
(* (- y z) (/ (- t x) (- a z)))

series96.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ (- t x) (- a z))
47.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
36.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0473869
12012820
25002820

prune682.0ms

Filtered
128 candidates to 88 candidates (31.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New11711128
Fresh000
Picked011
Done000
Total11712129

Merged error: 4.0b

Counts
129 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
2.8b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.9b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
59×*-un-lft-identity
52×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
17×associate-*l*
16×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 add-log-exp unswap-sqr
5×frac-times
3×associate-*r/ associate-*l/
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
34.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
3.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
25.0ms
(cbrt (- a z))
53.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
51.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify83.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07521843
133101675
250011584

prune1.1s

Filtered
146 candidates to 103 candidates (29.5%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1460146
Fresh01010
Picked011
Done011
Total14612158

Merged error: 4.0b

Counts
158 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t x))
0.5b
(* (cbrt (- t x)) (cbrt (- t x)))
6.1b
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x)))))
8.9b
(+ x (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x))))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
91×times-frac
90×add-sqr-sqrt
78×*-un-lft-identity
59×cbrt-prod associate-*r*
34×add-cube-cbrt
24×add-exp-log
21×distribute-lft-out--
19×difference-of-squares
16×cbrt-div add-cbrt-cube
13×pow1 associate-*l*
10×flip3-- swap-sqr flip--
8×prod-exp cbrt-unprod unswap-sqr
7×pow1/3
6×cbrt-undiv frac-times div-exp add-log-exp
4×associate-*l/
3×associate-*r/ pow-prod-down associate-/r/
2×pow-sqr *-commutative pow-prod-up div-inv
1×+-commutative pow2 flip3-+ pow-plus sum-log flip-+
Counts
4 → 166
Calls
4 calls:
3.0ms
(cbrt (- t x))
10.0ms
(* (cbrt (- t x)) (cbrt (- t x)))
30.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x)))))
3.0ms
(+ x (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x))))))

series138.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- t x))
28.0ms
(* (cbrt (- t x)) (cbrt (- t x)))
37.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x)))))
47.0ms
(+ x (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (/ (- a z) (cbrt (- t x))))))

simplify114.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
08561917
141051771
250031674

prune1.9s

Filtered
178 candidates to 118 candidates (33.7%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1771178
Fresh099
Picked011
Done022
Total17713190

Merged error: 4.0b

Counts
190 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t x))
0.5b
(* (cbrt (- t x)) (cbrt (- t x)))
6.1b
(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
7.6b
(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
86×frac-times cbrt-div
61×flip3-- flip--
40×associate-*l/
34×add-sqr-sqrt associate-*r/
33×cbrt-prod
32×*-un-lft-identity
24×add-exp-log
20×pow1
16×add-cbrt-cube
14×add-cube-cbrt
13×associate-*l*
12×prod-exp cbrt-unprod
10×swap-sqr
9×associate-*r*
8×pow-prod-down distribute-lft-out--
7×pow1/3
6×add-log-exp difference-of-squares
4×unswap-sqr
2×cbrt-undiv div-exp pow-sqr *-commutative pow-prod-up
1×+-commutative pow2 flip3-+ pow-plus sum-log flip-+
Counts
4 → 162
Calls
4 calls:
3.0ms
(cbrt (- t x))
10.0ms
(* (cbrt (- t x)) (cbrt (- t x)))
25.0ms
(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
5.0ms
(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

series140.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- t x))
30.0ms
(* (cbrt (- t x)) (cbrt (- t x)))
33.0ms
(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
52.0ms
(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

simplify105.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
08932404
136832214
250022147

prune1.3s

Filtered
174 candidates to 110 candidates (36.8%)
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1731174
Fresh099
Picked011
Done033
Total17314187

Merged error: 4.0b

Counts
187 → 14

regimes880.0ms

Accuracy

53.6% (4.0b remaining)

Error of 8.2b against oracle of 4.2b and baseline of 12.8b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04957
14957

end0.0ms

sample990.0ms

Algorithm
intervals
Results
290.0ms7808×body80valid
75.0ms496×body640valid
49.0ms422×body320valid
48.0ms276×body1280valid
18.0ms255×body160valid
3.0ms15×body2560valid

Profiling

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