Details

Time bar (total: 8.2s)

sample934.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 36.778287%

Results
10.0ms277×body80valid

simplify16.0ms

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: 6.7b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:
6.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* z (- y t))
11.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0353467
11535417
25002414

prune118.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New74680
Fresh011
Picked101
Done000
Total75782

Merged error: 0.0b

Counts
82 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
3.8b
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

rewrite146.0ms

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
9×div-inv
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 → 339
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
111.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

series93.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
21.0ms
(cbrt x)
22.0ms
(cbrt x)
26.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

simplify76.0ms

Algorithm
egg-herbie
Counts
351 → 351
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
017555063
150014769

prune536.0ms

Filtered
209 candidates to 351 candidates (-67.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3501351
Fresh066
Picked011
Done000
Total3508358

Merged error: 0b

Counts
358 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
1.0b
(/ 1 (sqrt (sqrt 2.0)))
2.1b
(* (/ (cbrt x) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (cbrt x) (/ z (sqrt (sqrt 2.0)))) (/ (cbrt x) (/ (- y t) (sqrt 2.0)))))
2.4b
(* (/ (cbrt x) (/ z (sqrt (sqrt 2.0)))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

rewrite619.0ms

Algorithm
rewrite-expression-head
Rules
1295×times-frac
938×add-sqr-sqrt
624×*-un-lft-identity
552×add-cube-cbrt
510×sqrt-prod
382×associate-*l*
346×cbrt-prod
329×add-exp-log
210×associate-*r*
170×div-exp
145×add-cbrt-cube
104×prod-exp
103×cbrt-undiv
66×cbrt-unprod
63×unswap-sqr
36×distribute-lft-out-- difference-of-squares
22×div-inv
14×pow1
11×rec-exp 1-exp
9×associate-/r*
6×frac-times associate-*r/
5×pow-flip
4×sqrt-pow1 pow-prod-down associate-*l/ add-log-exp
3×associate-/r/ associate-/l*
2×pow1/2 *-commutative
1×frac-2neg pow1/3 clear-num inv-pow
Counts
4 → 852
Calls
4 calls:
1.0ms
(cbrt x)
5.0ms
(/ 1 (sqrt (sqrt 2.0)))
73.0ms
(* (/ (cbrt x) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (cbrt x) (/ z (sqrt (sqrt 2.0)))) (/ (cbrt x) (/ (- y t) (sqrt 2.0)))))
458.0ms
(* (/ (cbrt x) (/ z (sqrt (sqrt 2.0)))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

series123.0ms

Counts
4 → 10
Calls
4 calls:
23.0ms
(cbrt x)
0.0ms
(/ 1 (sqrt (sqrt 2.0)))
25.0ms
(* (/ (cbrt x) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (cbrt x) (/ z (sqrt (sqrt 2.0)))) (/ (cbrt x) (/ (- y t) (sqrt 2.0)))))
75.0ms
(* (/ (cbrt x) (/ z (sqrt (sqrt 2.0)))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

simplify162.0ms

Algorithm
egg-herbie
Counts
862 → 862
Iterations

Useful iterations: 1 (55.0ms)

IterNodesCost
0317614177
1500113595

prune2.5s

Filtered
525 candidates to 862 candidates (-64.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New8620862
Fresh066
Picked011
Done011
Total8628870

Merged error: 0b

Counts
870 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
6.0b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/r*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×associate-/r/ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 208
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
29.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
12.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify98.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
09151676
142801508
250011501

prune205.0ms

Filtered
149 candidates to 214 candidates (-43.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2131214
Fresh145
Picked011
Done112
Total2157222

Merged error: 0b

Counts
222 → 7

regimes552.0ms

Accuracy

93.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 4.8b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03434
13734
24034
34034

end0.0ms

sample1.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 36.778287%

Results
333.0ms8709×body80valid

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