Details

Time bar (total: 3.8s)

analyze840.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
16.4%83.4%0.2%11
19.9%79.9%0.2%12
21.6%77.2%1.2%13
24.8%73.7%1.4%14

sample28.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms104×body80invalid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05509
15509

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.5b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

8.9b
(/ (- (* x y) (* z t)) a)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
5.0ms
(/ (- (* x y) (* z t)) a)

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(/ (- (* x y) (* z t)) a)

simplify36.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05388432

prune73.0ms

Filtered
26 candidates to 33 candidates (-26.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New25833
Fresh000
Picked011
Done000
Total25934

Merged error: 0.0b

Counts
34 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (/ y a)) (* z (/ t a)))
5.5b
(* z (/ t a))
6.1b
(* x (/ y a))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×associate-*r*
20×times-frac
19×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
7×pow1
6×associate-*r/ associate-*l*
5×add-log-exp
4×prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 77
Calls
3 calls:
5.0ms
(- (* x (/ y a)) (* z (/ t a)))
6.0ms
(* z (/ t a))
6.0ms
(* x (/ y a))

series28.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(- (* x (/ y a)) (* z (/ t a)))
5.0ms
(* z (/ t a))
5.0ms
(* x (/ y a))

simplify55.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04955706
14955706

prune125.0ms

Filtered
59 candidates to 86 candidates (-45.8%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New761086
Fresh527
Picked101
Done011
Total821395

Merged error: 0b

Counts
95 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.3b
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt a) (cbrt a)))))
5.5b
(* z (/ t a))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
20×add-sqr-sqrt
16×add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
14×associate-*r*
11×pow1
10×times-frac prod-exp cbrt-unprod
6×cbrt-prod associate-*l*
4×pow-prod-down add-log-exp
3×cbrt-undiv associate-*r/ div-exp
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 77
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt a) (cbrt a)))))
7.0ms
(* z (/ t a))

series77.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt y)
22.0ms
(cbrt y)
25.0ms
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt a) (cbrt a)))))
5.0ms
(* z (/ t a))

simplify45.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05240623

prune116.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh01111
Picked011
Done011
Total8913102

Merged error: 0b

Counts
102 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
2.2b
(* (/ y a) (cbrt x))
4.1b
(* (* (cbrt x) (cbrt x)) (* (/ y a) (cbrt x)))
5.5b
(* z (/ t a))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
35×add-exp-log
23×add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
21×times-frac
20×pow1 associate-*r*
17×associate-*l* prod-exp cbrt-unprod
10×pow-prod-down
8×cbrt-prod
6×unswap-sqr
4×cbrt-undiv div-exp add-log-exp
3×*-commutative
2×associate-*r/ associate-*l/ div-inv
1×pow1/3
Counts
4 → 107
Calls
4 calls:
1.0ms
(cbrt x)
7.0ms
(* (/ y a) (cbrt x))
10.0ms
(* (* (cbrt x) (cbrt x)) (* (/ y a) (cbrt x)))
6.0ms
(* z (/ t a))

series55.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
20.0ms
(* (/ y a) (cbrt x))
8.0ms
(* (* (cbrt x) (cbrt x)) (* (/ y a) (cbrt x)))
5.0ms
(* z (/ t a))

simplify57.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04940779
14940779

prune91.0ms

Filtered
78 candidates to 119 candidates (-52.6%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh01010
Picked011
Done022
Total11913132

Merged error: 0b

Counts
132 → 13

regimes1.3s

Accuracy

86.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 5.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08776
18776

end0.0ms

sample707.0ms

Algorithm
intervals
Results
278.0ms8000×body80valid
106.0ms3097×body80invalid

Profiling

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