Details

Time bar (total: 7.2s)

sample28.0ms

Algorithm
intervals
Results
17.0ms272×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.2b
(/ (* z (- y t)) 2.0)
5.0b
(/ x (/ (* z (- y t)) 2.0))

rewrite32.0ms

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:
11.0ms
(* z (- y t))
10.0ms
(/ (* z (- y t)) 2.0)
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series135.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* z (- y t))
53.0ms
(/ (* z (- y t)) 2.0)
48.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0498867
12213667
25001667

prune250.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.2b
(/ (/ x z) (/ (- y t) 2.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
351×add-sqr-sqrt *-un-lft-identity
267×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
35×div-inv
19×associate-/r*
13×add-exp-log add-cbrt-cube associate-/l*
8×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 301
Calls
1 calls:
15.0ms
(/ (/ x z) (/ (- y t) 2.0))

series45.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015663649
150013558

prune906.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (- y t) 2.0))
4.3b
(* (/ x z) (/ 1 (/ (- y t) 2.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
245×times-frac
187×add-sqr-sqrt
158×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
58×add-exp-log
28×div-exp add-cbrt-cube
21×distribute-lft-out-- difference-of-squares
19×associate-/r*
14×prod-exp
13×associate-*l*
12×cbrt-undiv
10×div-inv unswap-sqr
6×rec-exp 1-exp cbrt-unprod
5×pow1
3×associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative inv-pow
Counts
2 → 222
Calls
2 calls:
9.0ms
(/ 1 (/ (- y t) 2.0))
43.0ms
(* (/ x z) (/ 1 (/ (- y t) 2.0)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (/ (- y t) 2.0))
44.0ms
(* (/ x z) (/ 1 (/ (- y t) 2.0)))

simplify93.0ms

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
09041731
143851488
250011311

prune387.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (- y t) 2.0))
0.5b
(cbrt (/ (- y t) 2.0))
2.1b
(* (/ 1 (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0)))) (/ (/ x z) (cbrt (/ (- y t) 2.0))))
2.3b
(/ (/ x z) (cbrt (/ (- y t) 2.0)))

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
1462×times-frac
852×add-sqr-sqrt
791×*-un-lft-identity
610×add-cube-cbrt
563×cbrt-prod
291×associate-*r*
87×add-exp-log distribute-lft-out-- difference-of-squares
77×div-inv
36×div-exp
31×add-cbrt-cube
30×prod-exp
22×associate-/r*
21×unswap-sqr
18×cbrt-undiv
13×associate-/l*
12×cbrt-unprod
10×associate-*l*
8×cbrt-div
6×pow1 rec-exp 1-exp
5×associate-/r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-times pow1/3 associate-*r/ associate-*l/
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/
Counts
4 → 765
Calls
4 calls:
3.0ms
(cbrt (/ (- y t) 2.0))
3.0ms
(cbrt (/ (- y t) 2.0))
188.0ms
(* (/ 1 (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0)))) (/ (/ x z) (cbrt (/ (- y t) 2.0))))
17.0ms
(/ (/ x z) (cbrt (/ (- y t) 2.0)))

series841.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(cbrt (/ (- y t) 2.0))
219.0ms
(cbrt (/ (- y t) 2.0))
199.0ms
(* (/ 1 (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0)))) (/ (/ x z) (cbrt (/ (- y t) 2.0))))
202.0ms
(/ (/ x z) (cbrt (/ (- y t) 2.0)))

simplify155.0ms

Algorithm
egg-herbie
Counts
777 → 777
Iterations

Useful iterations: 1 (53.0ms)

IterNodesCost
0302912044
1500111787

prune2.6s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes157.0ms

Accuracy

62.1% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 5.8b

bsearch73.0ms

Steps
ItersRangePoint
7
231.08097083698556
14520.350903362307
2713.6534281564946
7
-1352774631687071.2
-9531903230471.172
-1067161694993487.5

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12513

end0.0ms

sample774.0ms

Algorithm
intervals
Results
556.0ms8698×body80valid