Details

Time bar (total: 3.0s)

sample32.0ms

Algorithm
intervals
Results
11.0ms281×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
029311
129311

prune16.0ms

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: 0.1b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
2.5b
(* y (/ (- z t) (- a t)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z t) (- a t))))
9.0ms
(/ (- z t) (- a t))
15.0ms
(* y (/ (- z t) (- a t)))

series63.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ x (* y (/ (- z t) (- a t))))
11.0ms
(/ (- z t) (- a t))
18.0ms
(* y (/ (- z t) (- a t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
052921368

prune148.0ms

Filtered
82 candidates to 122 candidates (-48.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1157122
Fresh011
Picked101
Done000
Total1168124

Merged error: 0b

Counts
124 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- a t))
4.0ms
(cbrt (- z t))
4.0ms
(cbrt (- z t))
4.0ms
(cbrt (- z t))

series123.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (- a t))
33.0ms
(cbrt (- z t))
30.0ms
(cbrt (- z t))
31.0ms
(cbrt (- z t))

simplify29.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05185572

prune110.0ms

Filtered
56 candidates to 72 candidates (-28.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh077
Picked011
Done000
Total72880

Merged error: 0b

Counts
80 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b
(/ (- a t) (- z t))
0.2b
(/ 1 (/ (- a t) (- z t)))
2.5b
(* y (/ 1 (/ (- a t) (- z t))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
336×add-sqr-sqrt
324×*-un-lft-identity
158×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/l/
1×+-commutative pow-flip flip3-+ div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 338
Calls
4 calls:
3.0ms
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
9.0ms
(/ (- a t) (- z t))
13.0ms
(/ 1 (/ (- a t) (- z t)))
33.0ms
(* y (/ 1 (/ (- a t) (- z t))))

series101.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
15.0ms
(/ (- a t) (- z t))
19.0ms
(/ 1 (/ (- a t) (- z t)))
30.0ms
(* y (/ 1 (/ (- a t) (- z t))))

simplify77.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049864579
149864579

prune298.0ms

Filtered
205 candidates to 350 candidates (-70.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3482350
Fresh426
Picked101
Done101
Total3544358

Merged error: 0b

Counts
358 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
197×*-un-lft-identity
195×add-sqr-sqrt
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 206
Calls
3 calls:
32.0ms
(+ x (/ y (/ (- a t) (- z t))))
9.0ms
(/ (- a t) (- z t))
13.0ms
(/ y (/ (- a t) (- z t)))

series81.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ x (/ y (/ (- a t) (- z t))))
11.0ms
(/ (- a t) (- z t))
29.0ms
(/ y (/ (- a t) (- z t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050023372

prune154.0ms

Filtered
146 candidates to 215 candidates (-47.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2150215
Fresh033
Picked011
Done000
Total2154219

Merged error: 0b

Counts
219 → 4

regimes486.0ms

Accuracy

-8.4% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.3b

bsearch42.0ms

Steps
ItersRangePoint
9
8.121326813253729e-195
5.592055814454497e-186
1.5974565002864017e-190
6
-2.1117949458660426e-107
-1.3691623995958124e-108
-1.6501968152492076e-107

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02531
12531

end0.0ms

sample887.0ms

Algorithm
intervals
Results
339.0ms8728×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid

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