Details

Time bar (total: 3.7s)

sample39.0ms

Algorithm
intervals
Results
10.0ms258×body80valid
2.0ms14×body640valid
1.0ms7×body1280valid
1.0ms9×body320valid
1.0ms10×body160valid
1.0ms2×body2560valid

simplify100.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
0550313

prune13.0ms

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: 9.7b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.2b
(+ x (* (- y x) (/ (- z t) (- a t))))
2.3b
(* (- y x) (/ (- z t) (- a t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ 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 → 119
Calls
3 calls:
9.0ms
(/ (- z t) (- a t))
4.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))
22.0ms
(* (- y x) (/ (- z t) (- a t)))

series111.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ (- z t) (- a t))
63.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))
38.0ms
(* (- y x) (/ (- z t) (- a t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049811606
149811606

prune174.0ms

Filtered
87 candidates to 128 candidates (-47.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1199128
Fresh011
Picked011
Done000
Total11911130

Merged error: 3.5b

Counts
130 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.2b
(/ 1 (/ (- a t) (- z t)))
2.2b
(+ x (* (- y x) (/ 1 (/ (- a t) (- z t)))))
2.3b
(* (- y x) (/ 1 (/ (- a t) (- z t))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
338×add-sqr-sqrt
326×*-un-lft-identity
158×add-cube-cbrt
98×associate-*r*
83×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
11×flip3-- flip--
10×div-inv
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×associate-*l* unswap-sqr
4×rec-exp 1-exp
3×cbrt-unprod
2×frac-times frac-2neg associate-*l/ 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 → 344
Calls
4 calls:
9.0ms
(/ (- a t) (- z t))
17.0ms
(/ 1 (/ (- a t) (- z t)))
3.0ms
(+ x (* (- y x) (/ 1 (/ (- a t) (- z t)))))
40.0ms
(* (- y x) (/ 1 (/ (- a t) (- z t))))

series145.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (- a t) (- z t))
22.0ms
(/ 1 (/ (- a t) (- z t)))
59.0ms
(+ x (* (- y x) (/ 1 (/ (- a t) (- z t)))))
54.0ms
(* (- y x) (/ 1 (/ (- a t) (- z t))))

simplify68.0ms

Algorithm
egg-herbie
Counts
356 → 356
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
051414991

prune322.0ms

Filtered
209 candidates to 356 candidates (-70.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3533356
Fresh369
Picked101
Done011
Total35710367

Merged error: 3.5b

Counts
367 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.9b
(/ (- y x) (/ (- a t) (- z t)))
2.2b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
330×times-frac
323×*-un-lft-identity
321×add-sqr-sqrt
113×add-cube-cbrt
104×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×associate-/r/
10×add-exp-log add-cbrt-cube associate-/l*
9×flip3-- flip--
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×frac-2neg clear-num
1×+-commutative associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 274
Calls
3 calls:
9.0ms
(/ (- a t) (- z t))
18.0ms
(/ (- y x) (/ (- a t) (- z t)))
45.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series126.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (- a t) (- z t))
50.0ms
(/ (- y x) (/ (- a t) (- z t)))
63.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify55.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
054205477

prune217.0ms

Filtered
170 candidates to 283 candidates (-66.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2821283
Fresh178
Picked011
Done101
Total2849293

Merged error: 3.4b

Counts
293 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.3b
(* (- z t) (/ 1 (- a t)))
2.3b
(* (- y x) (* (- z t) (/ 1 (- a t))))
3.4b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
6.0ms
(/ 1 (- a t))
15.0ms
(* (- z t) (/ 1 (- a t)))
21.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
5.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series117.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1 (- a t))
11.0ms
(* (- z t) (/ 1 (- a t)))
38.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
63.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify39.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
054601774

prune137.0ms

Filtered
100 candidates to 158 candidates (-58.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1580158
Fresh077
Picked011
Done011
Total1589167

Merged error: 3.4b

Counts
167 → 9

regimes473.0ms

Accuracy

27.5% (5.8b remaining)

Error of 9.6b against oracle of 3.7b and baseline of 11.8b

bsearch61.0ms

Steps
ItersRangePoint
8
1.3908172815212875e-164
4.2385532176474676e-160
2.367872205459678e-161
8
-2.3167009849673318e-135
-5.261615727066757e-138
-6.535000072093716e-137

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03035
13035

end0.0ms

sample1.1s

Algorithm
intervals
Results
341.0ms7795×body80valid
83.0ms512×body640valid
55.0ms266×body1280valid
47.0ms401×body320valid
20.0ms253×body160valid
5.0ms20×body2560valid

Profiling

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