Details

Time bar (total: 3.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms274×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0205
1345
2555
3935
41495
51845
62025
72295
82805
93725
104655
117685
128765
138785
148785

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: 1.3b

Counts
2 → 1

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:
7.0ms
(/ (- z t) (- a t))
13.0ms
(* y (/ (- z t) (- a t)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- z t) (- a t))
67.0ms
(* y (/ (- z t) (- a t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25002606

prune233.0ms

Filtered
108 candidates to 71 candidates (65.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1026108
Fresh000
Picked101
Done000
Total1036109

Merged error: 0.0b

Counts
109 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.3b
(/ 1 (/ (- a t) (- z t)))
1.7b
(* y (/ 1 (/ (- a t) (- z t))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 327
Calls
3 calls:
8.0ms
(/ (- a t) (- z t))
12.0ms
(/ 1 (/ (- a t) (- z t)))
34.0ms
(* y (/ 1 (/ (- a t) (- z t))))

series334.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- a t) (- z t))
136.0ms
(/ 1 (/ (- a t) (- z t)))
151.0ms
(* y (/ 1 (/ (- a t) (- z t))))

simplify107.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08862724
145792439
250012153

prune520.0ms

Filtered
336 candidates to 174 candidates (51.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3342336
Fresh235
Picked101
Done000
Total3375342

Merged error: 0.0b

Counts
342 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ a (- z t))
0.0b
(/ t (- z t))
0.3b
(/ 1 (- (/ a (- z t)) (/ t (- z t))))
1.7b
(* y (/ 1 (- (/ a (- z t)) (/ t (- z t)))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
283×*-un-lft-identity
266×times-frac
219×add-sqr-sqrt
92×distribute-lft-out--
84×add-cube-cbrt
62×associate-*r*
50×difference-of-squares
40×associate-/r/
28×associate-/r*
21×add-exp-log distribute-rgt-out--
18×flip3-- flip-- div-inv
15×add-cbrt-cube
9×associate-/l*
7×pow1
6×div-exp
4×cbrt-undiv prod-exp add-log-exp
3×frac-2neg associate-*l* clear-num unswap-sqr
2×rec-exp 1-exp frac-sub cbrt-unprod sub-div
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 254
Calls
4 calls:
9.0ms
(/ a (- z t))
6.0ms
(/ t (- z t))
29.0ms
(/ 1 (- (/ a (- z t)) (/ t (- z t))))
45.0ms
(* y (/ 1 (- (/ a (- z t)) (/ t (- z t)))))

series255.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ a (- z t))
43.0ms
(/ t (- z t))
73.0ms
(/ 1 (- (/ a (- z t)) (/ t (- z t))))
105.0ms
(* y (/ 1 (- (/ a (- z t)) (/ t (- z t)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
266 → 266
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06872006
129671841
250011692

prune639.0ms

Filtered
266 candidates to 157 candidates (59.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2651266
Fresh134
Picked101
Done000
Total2674271

Merged error: 0.0b

Counts
271 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- z t))
0.0b
(/ t (- z t))
1.7b
(/ y (- (/ a (- z t)) (/ t (- z t))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
174×*-un-lft-identity
156×times-frac
134×add-sqr-sqrt
56×distribute-lft-out--
54×add-cube-cbrt
32×difference-of-squares
28×associate-/r*
24×associate-/r/
12×distribute-rgt-out--
11×flip3-- flip-- div-inv
9×add-exp-log add-cbrt-cube associate-/l*
3×pow1 cbrt-undiv frac-2neg div-exp clear-num add-log-exp
1×frac-sub sub-div
Counts
3 → 165
Calls
3 calls:
5.0ms
(/ a (- z t))
5.0ms
(/ t (- z t))
28.0ms
(/ y (- (/ a (- z t)) (/ t (- z t))))

series174.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ a (- z t))
45.0ms
(/ t (- z t))
101.0ms
(/ y (- (/ a (- z t)) (/ t (- z t))))

simplify62.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04921359
118521322
250011319

prune336.0ms

Filtered
174 candidates to 125 candidates (71.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1731174
Fresh123
Picked011
Done000
Total1744178

Merged error: 0b

Counts
178 → 4

regimes103.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample552.0ms

Algorithm
intervals
Results
291.0ms8709×body80valid
0.0ms2×body1280valid
0.0ms1×body2560valid
0.0ms1×body640valid
0.0ms1×body320valid

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