Details

Time bar (total: 4.0s)

analyze863.0ms

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
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample27.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms73×body80invalid

simplify222.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (216.0ms)

IterNodesCost
014449
114449

prune14.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- t z) a)))
0.0b
(/ (- t z) a)
5.3b
(* y (/ (- t z) a))

rewrite21.0ms

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:
3.0ms
(+ x (* y (/ (- t z) a)))
5.0ms
(/ (- t z) a)
9.0ms
(* y (/ (- t z) a))

series33.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ x (* y (/ (- t z) a)))
6.0ms
(/ (- t z) a)
12.0ms
(* y (/ (- t z) a))

simplify54.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04973889
14973889

prune133.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New89796
Fresh011
Picked011
Done000
Total89998

Merged error: 0.0b

Counts
98 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(* (cbrt a) (cbrt a))
4.2b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- t z) (cbrt a)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
45×*-un-lft-identity
40×times-frac associate-*r*
39×cbrt-prod
33×add-cube-cbrt
27×add-exp-log
18×add-cbrt-cube
13×pow1 associate-*l*
10×unswap-sqr
9×prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
6×swap-sqr distribute-lft-out-- difference-of-squares
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/ associate-*l/
Counts
4 → 133
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
5.0ms
(* (cbrt a) (cbrt a))
19.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- t z) (cbrt a)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
21.0ms
(cbrt a)
24.0ms
(* (cbrt a) (cbrt a))
19.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- t z) (cbrt a)))

simplify64.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049331198
149331198

prune200.0ms

Filtered
92 candidates to 145 candidates (-57.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1450145
Fresh077
Picked011
Done011
Total1459154

Merged error: 0.0b

Counts
154 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
5.0b
(* (* y (* (cbrt (- t z)) (cbrt (- t z)))) (/ (cbrt (- t z)) a))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt *-un-lft-identity
30×cbrt-prod cbrt-div
28×associate-*r*
25×add-exp-log
24×times-frac
22×add-cube-cbrt
21×associate-*r/
18×add-cbrt-cube
16×frac-times
15×flip3-- flip--
13×pow1
12×associate-*l/ prod-exp cbrt-unprod
6×pow-prod-down distribute-lft-out-- difference-of-squares
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative div-inv
Counts
4 → 114
Calls
4 calls:
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
20.0ms
(* (* y (* (cbrt (- t z)) (cbrt (- t z)))) (/ (cbrt (- t z)) a))

series89.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- t z))
25.0ms
(cbrt (- t z))
27.0ms
(cbrt (- t z))
12.0ms
(* (* y (* (cbrt (- t z)) (cbrt (- t z)))) (/ (cbrt (- t z)) a))

simplify62.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049511681
149511681

prune159.0ms

Filtered
87 candidates to 126 candidates (-44.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1251126
Fresh156
Picked011
Done022
Total1269135

Merged error: 0.0b

Counts
135 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.6b
(* (/ (- t z) a) (cbrt y))
3.0b
(* (* (cbrt y) (cbrt y)) (* (/ (- t z) a) (cbrt y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
30×add-exp-log
23×*-un-lft-identity
20×associate-*l*
18×pow1 add-cbrt-cube
17×add-cube-cbrt times-frac
15×prod-exp cbrt-unprod
11×cbrt-prod
9×pow-prod-down
7×associate-*r*
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l/ *-commutative
1×associate-*r/ div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
10.0ms
(* (/ (- t z) a) (cbrt y))
15.0ms
(* (* (cbrt y) (cbrt y)) (* (/ (- t z) a) (cbrt y)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
23.0ms
(cbrt y)
34.0ms
(* (/ (- t z) a) (cbrt y))
16.0ms
(* (* (cbrt y) (cbrt y)) (* (/ (- t z) a) (cbrt y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04995817
14995817

prune93.0ms

Filtered
66 candidates to 104 candidates (-57.6%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1040104
Fresh055
Picked011
Done033
Total1049113

Merged error: 0.0b

Counts
113 → 9

regimes908.0ms

Accuracy

61.8% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify7.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
044335
144335

end0.0ms

sample729.0ms

Algorithm
intervals
Results
287.0ms8000×body80valid
92.0ms2572×body80invalid

Profiling

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