Details

Time bar (total: 3.5s)

sample25.0ms

Algorithm
intervals
Results
10.0ms280×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune11.0ms

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: 6.6b

Counts
2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.6b
(/ x (/ (* z (- y t)) 2.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 74
Calls
2 calls:
7.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* z (- y t))
12.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0353467
11535417
25002414

prune125.0ms

Filtered
57 candidates to 80 candidates (-40.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New72880
Fresh011
Picked101
Done000
Total73982

Merged error: 0.0b

Counts
82 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
4.1b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
536×times-frac
421×add-sqr-sqrt
259×*-un-lft-identity
225×cbrt-prod
223×add-cube-cbrt
137×associate-*l*
119×associate-*r*
40×add-exp-log
35×unswap-sqr
25×add-cbrt-cube
18×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
14×div-inv
9×prod-exp cbrt-unprod
6×pow1
4×add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 354
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
200.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
27.0ms
(cbrt x)
21.0ms
(cbrt x)
16.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
366 → 366
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
016764344
150014235

prune613.0ms

Filtered
320 candidates to 366 candidates (-14.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3651366
Fresh088
Picked011
Done000
Total36510375

Merged error: 0b

Counts
375 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
3.3b
(/ (/ (cbrt x) (/ z (cbrt x))) (* (cbrt (- y t)) (cbrt (- y t))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
617×times-frac
259×add-sqr-sqrt *-un-lft-identity
255×cbrt-prod
253×add-cube-cbrt
137×associate-/l*
25×add-exp-log
18×cbrt-div
15×div-inv
13×add-cbrt-cube
12×cbrt-undiv div-exp
10×associate-/r/
9×flip3-- flip--
4×pow1 frac-times add-log-exp
3×pow1/3 prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 351
Calls
4 calls:
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
35.0ms
(/ (/ (cbrt x) (/ z (cbrt x))) (* (cbrt (- y t)) (cbrt (- y t))))

series135.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- y t))
26.0ms
(cbrt (- y t))
26.0ms
(cbrt (- y t))
55.0ms
(/ (/ (cbrt x) (/ z (cbrt x))) (* (cbrt (- y t)) (cbrt (- y t))))

simplify76.0ms

Algorithm
egg-herbie
Counts
363 → 363
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
014985034
150014865

prune427.0ms

Filtered
332 candidates to 363 candidates (-9.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3630363
Fresh088
Picked011
Done011
Total36310373

Merged error: 0b

Counts
373 → 10

localize7.0ms

Local error

Found 1 expressions with local error:

4.8b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
103×add-sqr-sqrt
76×*-un-lft-identity
62×associate-*r*
55×add-cube-cbrt
40×add-exp-log
22×add-cbrt-cube
18×div-exp
13×associate-*l*
12×prod-exp
9×cbrt-undiv distribute-lft-out-- difference-of-squares unswap-sqr
6×cbrt-unprod
5×div-inv
3×pow1 rec-exp 1-exp
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative add-log-exp
Counts
1 → 114
Calls
1 calls:
26.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify85.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0758903
13639763
25001756

prune110.0ms

Filtered
77 candidates to 117 candidates (-51.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh167
Picked101
Done022
Total1189127

Merged error: 0b

Counts
127 → 9

regimes597.0ms

Accuracy

75.1% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 4.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02519
12519

end0.0ms

sample686.0ms

Algorithm
intervals
Results
308.0ms8712×body80valid

Profiling

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