Details

Time bar (total: 4.3s)

sample22.0ms

Algorithm
intervals
Results
10.0ms280×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.7b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.6b
(/ x (/ (* z (- y t)) 2.0))

rewrite19.0ms

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:
10.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series77.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
43.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0353467
11535417
25002414

prune157.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New71980
Fresh011
Picked101
Done000
Total721082

Merged error: 0b

Counts
82 → 10

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
3.4b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite47.0ms

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))
27.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (/ (- y t) 2.0))
49.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify105.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09151676
142801508
250011501

prune398.0ms

Filtered
214 candidates to 149 candidates (69.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2113214
Fresh639
Picked011
Done000
Total2177224

Merged error: 0b

Counts
224 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
3.4b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
405×add-sqr-sqrt *-un-lft-identity
309×add-cube-cbrt
65×associate-/l*
48×distribute-lft-out-- difference-of-squares
22×associate-/r* div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 362
Calls
2 calls:
8.0ms
(/ x (/ (- y t) 2.0))
18.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series108.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (/ (- y t) 2.0))
77.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify75.0ms

Algorithm
egg-herbie
Counts
368 → 368
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013593858
150023741

prune739.0ms

Filtered
368 candidates to 283 candidates (76.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3680368
Fresh055
Picked011
Done011
Total3687375

Merged error: 0b

Counts
375 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
1.1b
(* (/ (/ (* (cbrt x) (cbrt x)) z) (- y t)) (/ (cbrt x) (/ 1 2.0)))
3.5b
(/ (/ (* (cbrt x) (cbrt x)) z) (- y t))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
286×times-frac
223×add-sqr-sqrt
149×*-un-lft-identity
113×add-cube-cbrt
103×add-exp-log
83×associate-*r*
54×cbrt-prod div-exp
51×add-cbrt-cube
41×associate-*l*
32×cbrt-undiv
26×prod-exp
21×unswap-sqr
20×div-inv
16×cbrt-unprod
15×distribute-lft-out-- difference-of-squares
7×associate-/l*
6×pow1
5×associate-/r* associate-/r/
4×rec-exp 1-exp add-log-exp
2×flip3-- pow1/3 flip--
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 277
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
69.0ms
(* (/ (/ (* (cbrt x) (cbrt x)) z) (- y t)) (/ (cbrt x) (/ 1 2.0)))
10.0ms
(/ (/ (* (cbrt x) (cbrt x)) z) (- y t))

series615.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
180.0ms
(cbrt x)
74.0ms
(* (/ (/ (* (cbrt x) (cbrt x)) z) (- y t)) (/ (cbrt x) (/ 1 2.0)))
180.0ms
(/ (/ (* (cbrt x) (cbrt x)) z) (- y t))

simplify67.0ms

Algorithm
egg-herbie
Counts
289 → 289
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014903374
150012859

prune700.0ms

Filtered
289 candidates to 212 candidates (73.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2890289
Fresh044
Picked011
Done022
Total2897296

Merged error: 0b

Counts
296 → 7

regimes271.0ms

Accuracy

66.2% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 5.4b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03024
13024

end0.0ms

sample528.0ms

Algorithm
intervals
Results
309.0ms8763×body80valid

Profiling

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