Details

Time bar (total: 4.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms273×body80valid

simplify25.0ms

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

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.9b
(/ x (/ (* z (- y t)) 2.0))

rewrite21.0ms

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))

series82.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* z (- y t))
44.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0433735
11861559
25001556

prune196.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.3b
(/ (/ x z) (/ (- y t) 2.0))

rewrite38.0ms

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))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ (/ x z) (/ (- y t) 2.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
304 → 304
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015663649
150013558

prune748.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (- y t) 2.0))
4.4b
(* (/ x z) (/ 1 (/ (- y t) 2.0)))

rewrite69.0ms

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))
44.0ms
(* (/ 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)))

simplify90.0ms

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
09041731
143851488
250011311

prune393.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 z) (/ (- y t) 2.0))
4.6b
(* x (/ (/ 1 z) (/ (- y t) 2.0)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
1263×times-frac
707×add-sqr-sqrt
684×*-un-lft-identity
520×add-cube-cbrt
252×associate-*r*
81×distribute-lft-out-- difference-of-squares
68×div-inv
56×add-exp-log
32×div-exp add-cbrt-cube
19×associate-/r*
16×cbrt-undiv
13×associate-/l*
9×prod-exp
7×unswap-sqr
5×cbrt-unprod
4×pow1 rec-exp 1-exp
3×associate-*l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 593
Calls
2 calls:
18.0ms
(/ (/ 1 z) (/ (- y t) 2.0))
83.0ms
(* x (/ (/ 1 z) (/ (- y t) 2.0)))

series73.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (/ 1 z) (/ (- y t) 2.0))
44.0ms
(* x (/ (/ 1 z) (/ (- y t) 2.0)))

simplify103.0ms

Algorithm
egg-herbie
Counts
599 → 599
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
022006003
150015691

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes144.0ms

Accuracy

65.7% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 5.9b

bsearch80.0ms

Steps
ItersRangePoint
9
6.599007446083762e-35
4.931675118028104e-29
5.069566845085449e-32
9
-2.8800990856122566e-63
-2.301338773509356e-68
-1.6700175859727132e-63

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample478.0ms

Algorithm
intervals
Results
262.0ms8715×body80valid