Details

Time bar (total: 3.1s)

sample20.0ms

Algorithm
intervals
Results
7.0ms280×body80valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod 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 → 74
Calls
2 calls:
19.0ms
(* z (- y t))
15.0ms
(/ x (/ (* z (- y t)) 2.0))

series74.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
40.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0353467
11535417
25001414

prune165.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(/ (/ 2.0 (- y t)) z)
3.6b
(* x (/ (/ 2.0 (- y t)) z))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
180×add-sqr-sqrt
171×*-un-lft-identity
121×add-cube-cbrt
67×associate-*r*
25×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
16×associate-/r/
10×div-inv
8×flip3-- associate-/r* flip--
7×cbrt-undiv div-exp
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×frac-2neg clear-num
1×associate-*r/ pow-prod-down *-commutative associate-/l/
Counts
3 → 228
Calls
3 calls:
12.0ms
(/ 2.0 (- y t))
21.0ms
(/ (/ 2.0 (- y t)) z)
48.0ms
(* x (/ (/ 2.0 (- y t)) z))

series173.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ 2.0 (- y t))
60.0ms
(/ (/ 2.0 (- y t)) z)
71.0ms
(* x (/ (/ 2.0 (- y t)) z))

simplify81.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07421638
134181557
250011557

prune525.0ms

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
64×add-sqr-sqrt
62×*-un-lft-identity
60×add-cube-cbrt
19×associate-/r*
18×add-exp-log
12×unpow-prod-down sqr-pow
9×div-exp add-cbrt-cube
5×associate-*r* div-inv
4×pow1
3×cbrt-undiv associate-*l* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ pow-exp prod-exp add-log-exp
1×pow-to-exp flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 123
Calls
2 calls:
19.0ms
(* z (- y t))
11.0ms
(/ x (/ (pow (* z (- y t)) 1) 2.0))

series73.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* z (- y t))
43.0ms
(/ x (/ (pow (* z (- y t)) 1) 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05821092
125811000
25001996

prune281.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 z) (- y t))
3.7b
(* (/ (/ 1 z) (- y t)) (* x 2.0))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
161×add-sqr-sqrt *-un-lft-identity
107×add-cube-cbrt
71×associate-*l*
46×add-exp-log
28×add-cbrt-cube
27×distribute-lft-out-- difference-of-squares
18×div-exp
15×prod-exp
13×div-inv associate-/l*
9×cbrt-undiv cbrt-unprod
7×pow1
5×associate-/r*
4×associate-/r/
3×rec-exp 1-exp pow-prod-down
2×flip3-- flip-- add-log-exp
1×frac-2neg associate-*r* associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 201
Calls
2 calls:
17.0ms
(/ (/ 1 z) (- y t))
60.0ms
(* (/ (/ 1 z) (- y t)) (* x 2.0))

series114.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (/ 1 z) (- y t))
88.0ms
(* (/ (/ 1 z) (- y t)) (* x 2.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
08271555
131851357
250021254

prune323.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes205.0ms

Accuracy

53.8% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 5.3b

bsearch63.0ms

Steps
ItersRangePoint
9
1.2565694608031569e+89
1.3124419314938122e+97
2.3298143112782626e+89
7
-1.2423438505948327e-44
-1.2285306530772722e-46
-9.321002324084502e-45

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02914
12914

end0.0ms

sample529.0ms

Algorithm
intervals
Results
233.0ms8750×body80valid