Details

Time bar (total: 2.9s)

sample33.0ms

Algorithm
intervals
Results
11.0ms338×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
02319
12319

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) a)
0.0b
(+ x (* y (/ (- t z) a)))
6.5b
(* y (/ (- t z) a))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
5.0ms
(/ (- t z) a)
3.0ms
(+ x (* y (/ (- t z) a)))
9.0ms
(* y (/ (- t z) a))

series33.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- t z) a)
15.0ms
(+ x (* y (/ (- t z) a)))
11.0ms
(* y (/ (- t z) a))

simplify48.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05128890

prune115.0ms

Filtered
66 candidates to 96 candidates (-45.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New90696
Fresh011
Picked011
Done000
Total90898

Merged error: 0.0b

Counts
98 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
2.2b
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×associate-*r/
4×cbrt-div add-log-exp
3×pow1/3 associate-*l* pow-prod-down
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ flip--
1×associate-*r* *-commutative
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
14.0ms
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

series115.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a)
21.0ms
(cbrt a)
24.0ms
(cbrt a)
49.0ms
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

simplify33.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05182625

prune110.0ms

Filtered
49 candidates to 72 candidates (-46.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New71172
Fresh066
Picked011
Done011
Total71980

Merged error: 0b

Counts
80 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
3.0b
(/ (* y (* (cbrt (- t z)) (cbrt (- t z)))) (* (cbrt a) (cbrt a)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
15×add-cbrt-cube
12×cbrt-div
10×associate-*r/
9×cbrt-prod prod-exp cbrt-unprod
8×associate-/l/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-undiv flip3-- div-exp flip--
4×pow1 frac-times add-log-exp
3×pow1/3
2×associate-*l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 66
Calls
4 calls:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
2.0ms
(cbrt a)
27.0ms
(/ (* y (* (cbrt (- t z)) (cbrt (- t z)))) (* (cbrt a) (cbrt a)))

series118.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
21.0ms
(cbrt a)
20.0ms
(cbrt a)
55.0ms
(/ (* y (* (cbrt (- t z)) (cbrt (- t z)))) (* (cbrt a) (cbrt a)))

simplify53.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05169669

prune105.0ms

Filtered
54 candidates to 78 candidates (-44.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh066
Picked011
Done022
Total78987

Merged error: 0b

Counts
87 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
6.0b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- t z) (cbrt a)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
17.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- t z) (cbrt a)))

series102.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt a)
21.0ms
(cbrt a)
35.0ms
(cbrt a)
22.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- t z) (cbrt a)))

simplify76.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049531100
149531100

prune94.0ms

Filtered
76 candidates to 116 candidates (-52.6%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1160116
Fresh055
Picked011
Done033
Total1169125

Merged error: 0b

Counts
125 → 9

regimes800.0ms

Accuracy

57.4% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02543
12543

end0.0ms

sample907.0ms

Algorithm
intervals
Results
347.0ms10646×body80valid

Profiling

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