Details

Time bar (total: 3.5s)

sample24.0ms

Algorithm
intervals
Results
10.0ms349×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.1b
(/ (* y (- z t)) a)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
4.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series139.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ x (/ (* y (- z t)) a))
35.0ms
(* y (- z t))
50.0ms
(/ (* y (- z t)) a)

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0297325
11236280
25001280

prune153.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ a (* y (- z t)))))
0.0b
(* y (- z t))
0.4b
(/ 1 (/ a (* y (- z t))))
6.1b
(/ a (* y (- z t)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
31×*-un-lft-identity
30×add-sqr-sqrt
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-- flip-- associate-/l* add-log-exp
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 126
Calls
4 calls:
10.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
6.0ms
(* y (- z t))
8.0ms
(/ 1 (/ a (* y (- z t))))
6.0ms
(/ a (* y (- z t)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
39.0ms
(* y (- z t))
50.0ms
(/ 1 (/ a (* y (- z t))))
41.0ms
(/ a (* y (- z t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0454816
12100669
25003652

prune454.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (/ 1 a) (/ 1 (* y (- z t)))))
0.0b
(* y (- z t))
0.8b
(/ 1 (* y (- z t)))
5.6b
(/ (/ 1 a) (/ 1 (* y (- z t))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
110×add-sqr-sqrt *-un-lft-identity
106×add-cube-cbrt
100×add-exp-log
62×div-exp
32×associate-*r/ add-cbrt-cube
31×associate-/r/
26×div-inv
17×rec-exp 1-exp
16×flip3-- prod-exp flip-- associate-/l*
15×cbrt-undiv
10×associate-/r*
9×pow1
6×add-log-exp
5×associate-*r*
4×cbrt-unprod
3×associate-*l*
2×distribute-rgt-in sub-neg pow-flip frac-2neg distribute-lft-in pow-prod-down clear-num
1×+-commutative flip3-+ sum-log *-commutative flip-+ associate-/l/ distribute-lft-out distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 253
Calls
4 calls:
31.0ms
(+ x (/ (/ 1 a) (/ 1 (* y (- z t)))))
6.0ms
(* y (- z t))
7.0ms
(/ 1 (* y (- z t)))
14.0ms
(/ (/ 1 a) (/ 1 (* y (- z t))))

series163.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ x (/ (/ 1 a) (/ 1 (* y (- z t)))))
34.0ms
(* y (- z t))
25.0ms
(/ 1 (* y (- z t)))
55.0ms
(/ (/ 1 a) (/ 1 (* y (- z t))))

simplify49.0ms

Algorithm
egg-herbie
Counts
265 → 265
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011212302
150021959

prune475.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (cbrt 1) (cbrt 1)) (* (* (/ (cbrt 1) a) y) (- z t))))
0.2b
(* (/ (cbrt 1) a) y)
6.8b
(* (* (/ (cbrt 1) a) y) (- z t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
23×associate-*l*
21×*-un-lft-identity times-frac
18×add-cube-cbrt
17×add-exp-log
15×add-cbrt-cube
11×cbrt-prod
10×pow1 distribute-rgt-in distribute-lft-in
8×associate-+r+ associate-*r*
7×prod-exp cbrt-unprod
6×sub-neg
5×associate-*l/ add-log-exp
4×pow-prod-down unswap-sqr
2×cbrt-undiv frac-times flip3-- associate-*r/ div-exp *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 93
Calls
3 calls:
4.0ms
(+ x (* (* (cbrt 1) (cbrt 1)) (* (* (/ (cbrt 1) a) y) (- z t))))
8.0ms
(* (/ (cbrt 1) a) y)
10.0ms
(* (* (/ (cbrt 1) a) y) (- z t))

series110.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ x (* (* (cbrt 1) (cbrt 1)) (* (* (/ (cbrt 1) a) y) (- z t))))
9.0ms
(* (/ (cbrt 1) a) y)
54.0ms
(* (* (/ (cbrt 1) a) y) (- z t))

simplify62.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0459748
12020670
25001657

prune274.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes348.0ms

Accuracy

64% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.4b

bsearch62.0ms

Steps
ItersRangePoint
4
3.0203007315350746e+44
5.620990192330569e+44
3.069496168426095e+44
8
-1.692910437382716e+75
-4.2058793723955496e+72
-4.2657946166535284e+72

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0258
1258

end0.0ms

sample643.0ms

Algorithm
intervals
Results
322.0ms10609×body80valid