Details

Time bar (total: 4.3s)

sample23.0ms

Algorithm
intervals
Results
9.0ms357×body80valid

simplify45.0ms

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: 7.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
8.0b
(/ (* y (- z t)) a)

rewrite22.0ms

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:
10.0ms
(* y (- z t))
4.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(/ (* y (- z t)) a)

series137.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* y (- z t))
54.0ms
(+ x (/ (* y (- z t)) a))
48.0ms
(/ (* y (- z t)) a)

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0297325
11236280
25001280

prune159.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.7b
(/ y (/ a (- z t)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
31.0ms
(+ x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series133.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ x (/ y (/ a (- z t))))
27.0ms
(/ a (- z t))
56.0ms
(/ y (/ a (- z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05471150
123841110
250021107

prune400.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (/ y a) (/ 1 (- z t))))
0.0b
(/ 1 (- z t))
5.0b
(/ (/ y a) (/ 1 (- z t)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
387×*-un-lft-identity
385×add-sqr-sqrt
293×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
9×cbrt-undiv
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 384
Calls
3 calls:
91.0ms
(+ x (/ (/ y a) (/ 1 (- z t))))
6.0ms
(/ 1 (- z t))
16.0ms
(/ (/ y a) (/ 1 (- z t)))

series146.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ x (/ (/ y a) (/ 1 (- z t))))
35.0ms
(/ 1 (- z t))
59.0ms
(/ (/ y a) (/ 1 (- z t)))

simplify78.0ms

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017114274
150013890

prune819.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
2.1b
(* (/ y a) (cbrt (- z t)))
3.1b
(* (* (cbrt (- z t)) (cbrt (- z t))) (* (/ y a) (cbrt (- z t))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
116×cbrt-div
84×frac-times
58×flip3-- flip--
37×associate-*r/
31×add-sqr-sqrt
30×add-exp-log associate-*l/
21×*-un-lft-identity
18×pow1 add-cbrt-cube
17×cbrt-prod
15×add-cube-cbrt prod-exp cbrt-unprod
14×associate-*l*
11×times-frac
9×associate-*r* pow-prod-down
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 152
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
16.0ms
(* (/ y a) (cbrt (- z t)))
50.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (* (/ y a) (cbrt (- z t))))

series459.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (- z t))
151.0ms
(cbrt (- z t))
104.0ms
(* (/ y a) (cbrt (- z t)))
46.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (* (/ y a) (cbrt (- z t))))

simplify71.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
08082049
123921880
250021754

prune439.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes298.0ms

Accuracy

82.5% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02917
12917

end0.0ms

sample618.0ms

Algorithm
intervals
Results
302.0ms10803×body80valid