Details

Time bar (total: 3.8s)

sample26.0ms

Algorithm
intervals
Results
10.0ms281×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune10.0ms

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: 6.0b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
5.9b
(/ x (/ (* z (- y t)) 2.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
19×add-exp-log add-cbrt-cube
10×associate-/r*
cbrt-undiv div-exp
div-inv
pow1 associate-*r*
associate-*r/ associate-/l*
associate-*l* prod-exp cbrt-unprod add-log-exp
distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/
pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
7.0ms
(/ (* z (- y t)) 2.0)
6.0ms
(* z (- y t))
11.0ms
(/ x (/ (* z (- y t)) 2.0))

series27.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (* z (- y t)) 2.0)
7.0ms
(* z (- y t))
12.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0413592
11829518
25002515

prune144.0ms

Filtered
106 candidates to 76 candidates (28.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New988106
Fresh011
Picked101
Done000
Total999108

Merged error: 0.0b

Counts
108 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.3b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite246.0ms

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
prod-exp cbrt-unprod
pow1
add-log-exp
pow1/3
associate-/r/
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)
214.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
366 → 366
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016764344
150014235

prune457.0ms

Filtered
366 candidates to 320 candidates (12.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3651366
Fresh178
Picked101
Done000
Total3678375

Merged error: 0b

Counts
375 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.4b
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
499×times-frac
374×add-sqr-sqrt
264×*-un-lft-identity
209×associate-*r*
192×add-cube-cbrt
123×cbrt-prod
114×sqrt-prod
73×add-exp-log
51×add-cbrt-cube
36×distribute-lft-out-- difference-of-squares
33×cbrt-undiv div-exp
28×unswap-sqr
27×associate-*l*
21×prod-exp cbrt-unprod
div-inv
pow1
add-log-exp
pow1/3
associate-/r/
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 339
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
117.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

series100.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
22.0ms
(cbrt x)
28.0ms
(cbrt x)
27.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

simplify80.0ms

Algorithm
egg-herbie
Counts
351 → 351
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
017555063
150024769

prune603.0ms

Filtered
351 candidates to 209 candidates (40.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3510351
Fresh077
Picked011
Done000
Total3518359

Merged error: 0b

Counts
359 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

4.9b
(/ (/ x z) (/ (- y t) 2.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
351×add-sqr-sqrt *-un-lft-identity
267×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
35×div-inv
19×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
cbrt-undiv div-exp
pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
Counts
1 → 299
Calls
1 calls:
15.0ms
(/ (/ x z) (/ (- y t) 2.0))

series12.0ms

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

simplify68.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015643639
150013548

prune297.0ms

Filtered
302 candidates to 217 candidates (28.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3011302
Fresh246
Picked011
Done011
Total3037310

Merged error: 0b

Counts
310 → 7

regimes572.0ms

Accuracy

92.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.0b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03936
14236
24536
34536

end0.0ms

sample723.0ms

Algorithm
intervals
Results
323.0ms8729×body80valid

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