Details

Time bar (total: 4.3s)

sample26.0ms

Algorithm
intervals
Results
15.0ms278×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.6b
(/ x (/ (* z (- y t)) 2.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×*-un-lft-identity
33×times-frac
32×add-cube-cbrt
18×prod-diff
13×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 96
Calls
2 calls:
11.0ms
(* z (- y t))
7.0ms
(/ x (/ (* z (- y t)) 2.0))

series84.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* z (- y t))
49.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0433735
11861559
25001556

prune192.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.8b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite65.0ms

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))
44.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (/ (- y t) 2.0))
49.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify106.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09191696
142841528
250011521

prune511.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
4.8b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite64.0ms

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))
24.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series108.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ x (/ (- y t) 2.0))
71.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify64.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013633876
150013759

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.7b
(/ (/ 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:
45.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015663649
150013557

prune725.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes129.0ms

Accuracy

45.8% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 5.4b

bsearch93.0ms

Steps
ItersRangePoint
10
4.22161995161178e-172
1.4645062824150478e-160
1.4378345516742572e-160
8
-0.00038629318802677867
-6.415784821678141e-08
-0.00035647687804893846

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02915
13315
23315

end0.0ms

sample709.0ms

Algorithm
intervals
Results
493.0ms8668×body80valid