Details

Time bar (total: 3.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms284×body80valid

simplify49.0ms

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: 11.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
11.4b
(/ (* y (- z t)) (- a t))

rewrite16.0ms

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:
34.0ms
(* y (- z t))
67.0ms
(/ (* y (- z t)) (- a t))

simplify38.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0264276
11211239
25001239

prune136.0ms

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
(/ (- z t) (- a t))
1.7b
(* y (/ (- z t) (- a t)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
8.0ms
(/ (- z t) (- a t))
13.0ms
(* y (/ (- z t) (- a t)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z t) (- a t))
65.0ms
(* y (/ (- z t) (- a t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune238.0ms

Filtered
108 candidates to 70 candidates (64.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh033
Picked011
Done011
Total1076113

Merged error: 0b

Counts
113 → 6

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:
7.0ms
(/ (- a t) (- z t))
11.0ms
(/ y (/ (- a t) (- z t)))

series197.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- a t) (- z t))
145.0ms
(/ y (/ (- a t) (- z t)))

simplify76.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06331784
128621733
250011730

prune466.0ms

Filtered
200 candidates to 133 candidates (66.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1982200
Fresh213
Picked101
Done022
Total2015206

Merged error: 0b

Counts
206 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
6.8b
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

rewrite73.0ms

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:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
44.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

series696.0ms

Counts
4 → 12
Calls
4 calls:
334.0ms
(cbrt (- z t))
150.0ms
(cbrt (- z t))
151.0ms
(cbrt (- z t))
61.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
244 → 244
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
013012964
150022845

prune755.0ms

Filtered
244 candidates to 182 candidates (74.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2440244
Fresh022
Picked011
Done022
Total2445249

Merged error: 0b

Counts
249 → 5

regimes177.0ms

Accuracy

64.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02823
12823

end0.0ms

sample534.0ms

Algorithm
intervals
Results
275.0ms8732×body80valid
0.0ms1×body160valid