Details

Time bar (total: 4.8s)

sample19.0ms

Algorithm
intervals
Results
9.0ms279×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.4b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
5.3b
(/ x (/ (* z (- y t)) 2.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
36×times-frac
35×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg flip3-- frac-2neg clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 121
Calls
3 calls:
9.0ms
(/ (* z (- y t)) 2.0)
7.0ms
(* z (- y t))
8.0ms
(/ x (/ (* z (- y t)) 2.0))

series124.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (* z (- y t)) 2.0)
36.0ms
(* z (- y t))
42.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0498867
12215667
25001667

prune245.0ms

Filtered
130 candidates to 84 candidates (64.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1246130
Fresh101
Picked011
Done000
Total1257132

Merged error: 0.0b

Counts
132 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.2b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/r*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 212
Calls
2 calls:
9.0ms
(/ x (/ (- y t) 2.0))
34.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (/ (- y t) 2.0))
48.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify98.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09191696
142841528
250011521

prune456.0ms

Filtered
218 candidates to 154 candidates (70.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2153218
Fresh415
Picked011
Done011
Total2196225

Merged error: 0b

Counts
225 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.1b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
405×add-sqr-sqrt *-un-lft-identity
309×add-cube-cbrt
65×associate-/l*
48×distribute-lft-out-- difference-of-squares
22×associate-/r* div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 366
Calls
2 calls:
9.0ms
(/ x (/ (- y t) 2.0))
22.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series114.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (/ (- y t) 2.0))
84.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify112.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
013633876
150013759

prune984.0ms

Filtered
372 candidates to 287 candidates (77.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3711372
Fresh123
Picked101
Done022
Total3735378

Merged error: 0b

Counts
378 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ z (sqrt 2.0)))
0.4b
(/ (- y t) (sqrt 2.0))
0.4b
(/ z (sqrt 2.0))
4.1b
(* (/ 1 (/ z (sqrt 2.0))) (/ x (/ (- y t) (sqrt 2.0))))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
573×times-frac
430×add-sqr-sqrt
323×*-un-lft-identity
261×add-cube-cbrt
153×sqrt-prod
107×associate-*r*
97×add-exp-log
71×associate-*l*
51×div-exp
49×add-cbrt-cube
34×associate-/r*
28×unswap-sqr
25×distribute-lft-out-- difference-of-squares
23×cbrt-undiv
21×prod-exp
15×div-inv
11×associate-/l*
9×cbrt-unprod
8×rec-exp 1-exp
7×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num associate-/r/
2×associate-/l/
1×frac-times flip3-- pow-flip div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- inv-pow
Counts
4 → 463
Calls
4 calls:
8.0ms
(/ 1 (/ z (sqrt 2.0)))
8.0ms
(/ (- y t) (sqrt 2.0))
4.0ms
(/ z (sqrt 2.0))
132.0ms
(* (/ 1 (/ z (sqrt 2.0))) (/ x (/ (- y t) (sqrt 2.0))))

series355.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ 1 (/ z (sqrt 2.0)))
87.0ms
(/ (- y t) (sqrt 2.0))
55.0ms
(/ z (sqrt 2.0))
166.0ms
(* (/ 1 (/ z (sqrt 2.0))) (/ x (/ (- y t) (sqrt 2.0))))

simplify76.0ms

Algorithm
egg-herbie
Counts
475 → 475
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
016304507
150014114

prune976.0ms

Filtered
475 candidates to 266 candidates (56.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4750475
Fresh022
Picked011
Done022
Total4755480

Merged error: 0b

Counts
480 → 5

regimes121.0ms

Accuracy

46.5% (2.8b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 5.3b

bsearch39.0ms

Steps
ItersRangePoint
4
5.8475849430633325e+32
9.770545498883423e+32
5.9189247350309146e+32
5
-1.2782177119109352e-148
-5.540009797186545e-149
-7.87198614559774e-149

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02710
12710

end0.0ms

sample494.0ms

Algorithm
intervals
Results
277.0ms8707×body80valid