Details

Time bar (total: 5.4s)

analyze1.1s

Algorithm
search

sample34.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
4.0ms99×body80invalid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.5b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
6.1b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
5.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series34.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* z 9.0) t)
12.0ms
(- (* x y) (* (* z 9.0) t))
19.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326399
11408341
25002341

prune128.0ms

Filtered
44 candidates to 63 candidates (-43.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New521163
Fresh000
Picked101
Done000
Total531164

Merged error: 5.9b

Counts
64 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
5.0b
(/ (* t z) a)
5.5b
(/ (* x y) a)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
5.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* t z) a)
4.0ms
(/ (* x y) a)

series40.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
5.0ms
(/ (* t z) a)
5.0ms
(/ (* x y) a)

simplify54.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0381486
11921419
25001419

prune124.0ms

Filtered
62 candidates to 95 candidates (-53.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New92395
Fresh4610
Picked101
Done000
Total979106

Merged error: 0.5b

Counts
106 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
5.9b
(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
30×add-exp-log
25×times-frac
20×*-un-lft-identity add-cbrt-cube
18×add-cube-cbrt
16×associate-*r*
14×associate-*l*
11×prod-exp
10×pow1
8×div-exp
7×cbrt-unprod
6×unswap-sqr
5×add-log-exp
4×cbrt-undiv pow-prod-down
2×rec-exp 1-exp *-commutative div-inv
1×frac-times sub-neg flip3-- diff-log associate-*r/ associate-*l/ flip--
Counts
3 → 86
Calls
3 calls:
5.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
11.0ms
(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

series45.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* z 9.0) t)
12.0ms
(- (* x y) (* (* z 9.0) t))
30.0ms
(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0513759
12281650
25002644

prune131.0ms

Filtered
62 candidates to 95 candidates (-53.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New95095
Fresh088
Picked011
Done000
Total959104

Merged error: 0.5b

Counts
104 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
0.3b
(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
6.1b
(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
35×add-exp-log
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
14×div-exp
12×associate-/r*
11×associate-/r/
10×pow1
7×cbrt-undiv prod-exp
6×flip3-- flip-- div-inv add-log-exp
5×cbrt-unprod
4×associate-/l*
3×rec-exp 1-exp associate-*r* pow-prod-down
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-*l* *-commutative inv-pow
Counts
4 → 117
Calls
4 calls:
5.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
8.0ms
(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
6.0ms
(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* z 9.0) t)
12.0ms
(- (* x y) (* (* z 9.0) t))
27.0ms
(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
19.0ms
(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

simplify69.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04941191
125021048
250021001

prune105.0ms

Filtered
69 candidates to 129 candidates (-87.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh167
Picked101
Done011
Total1308138

Merged error: 0.5b

Counts
138 → 8

regimes1.3s

Accuracy

38.8% (4.4b remaining)

Error of 4.9b against oracle of 0.4b and baseline of 7.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04929
14929

end0.0ms

analyze1.1s

Algorithm
search

sample813.0ms

Algorithm
intervals
Results
340.0ms8000×body80valid
136.0ms3139×body80invalid

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