Details

Time bar (total: 3.5s)

sample21.0ms

Algorithm
intervals
Results
9.0ms280×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0175
1325
2575
31005
41445
51775
62035
72635
83525
94455
106865
119095
129325
139325

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.9b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
11.0b
(/ (* y (- z t)) (- a t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- a t))

series100.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* y (- z t))
66.0ms
(/ (* y (- z t)) (- a t))

simplify40.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0264276
11211239
25001239

prune113.0ms

Filtered
61 candidates to 40 candidates (65.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New57461
Fresh000
Picked011
Done000
Total57562

Merged error: 0.0b

Counts
62 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.1b
(/ y (/ (- a t) (- z t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
8.0ms
(/ (- a t) (- z t))
11.0ms
(/ y (/ (- a t) (- z t)))

series189.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- a t) (- z t))
141.0ms
(/ y (/ (- a t) (- z t)))

simplify82.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06331784
128621733
250011730

prune383.0ms

Filtered
200 candidates to 133 candidates (66.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1982200
Fresh303
Picked011
Done011
Total2014205

Merged error: 0b

Counts
205 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
7.9b
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
263×times-frac
204×add-sqr-sqrt
195×*-un-lft-identity
143×associate-*r*
111×add-cube-cbrt
91×cbrt-prod
42×distribute-lft-out-- difference-of-squares
36×cbrt-div
25×add-exp-log
18×flip3-- flip--
17×add-cbrt-cube
16×frac-times
12×associate-*l/
9×pow1 prod-exp cbrt-unprod
7×associate-/r/
6×cbrt-undiv div-exp
5×associate-*r/
4×div-inv add-log-exp unswap-sqr
3×pow1/3 pow-prod-down
1×associate-*l* *-commutative
Counts
4 → 232
Calls
4 calls:
4.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
45.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

series492.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- z t))
145.0ms
(cbrt (- z t))
144.0ms
(cbrt (- z t))
60.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
244 → 244
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
013012964
150012835

prune660.0ms

Filtered
244 candidates to 183 candidates (75.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2440244
Fresh011
Picked011
Done022
Total2444248

Merged error: 0b

Counts
248 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
11.2b
(* (/ y (- a t)) (- z t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
5.0ms
(/ y (- a t))
12.0ms
(* (/ y (- a t)) (- z t))

series172.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ y (- a t))
145.0ms
(* (/ y (- a t)) (- z t))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0340501
11399463
25001463

prune164.0ms

Filtered
93 candidates to 66 candidates (71.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done033
Total93497

Merged error: 0b

Counts
97 → 4

regimes178.0ms

Accuracy

65.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02518
12518

end0.0ms

sample555.0ms

Algorithm
intervals
Results
294.0ms8753×body80valid
0.0ms1×body160valid