Details

Time bar (total: 3.3s)

sample24.0ms

Algorithm
intervals
Results
10.0ms355×body80valid

simplify46.0ms

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

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
8.3b
(/ (* y (- z t)) a)

rewrite23.0ms

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))
10.0ms
(/ (* y (- z t)) a)

series133.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (/ (* y (- z t)) a))
40.0ms
(* y (- z t))
47.0ms
(/ (* y (- z t)) a)

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0297325
11236280
25001280

prune150.0ms

Filtered
70 candidates to 45 candidates (64.3%)
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))
7.0b
(/ y (/ a (- z t)))

rewrite45.0ms

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:
23.0ms
(+ x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ x (/ y (/ a (- z t))))
33.0ms
(/ a (- z t))
52.0ms
(/ y (/ a (- z t)))

simplify61.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05471150
123841110
250021107

prune400.0ms

Filtered
160 candidates to 119 candidates (74.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
6.5b
(* (/ y a) (- z t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (/ y a) (- z t)))
9.0ms
(* (/ y a) (- z t))

series100.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ x (* (/ y a) (- z t)))
55.0ms
(* (/ y a) (- z t))

simplify37.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0323335
11236299
25001299

prune138.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
6.6b
(* (/ (* (cbrt y) (cbrt y)) a) (* (- z t) (cbrt y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
18×add-cbrt-cube
11×prod-exp cbrt-unprod
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×associate-*l/
4×cbrt-undiv div-exp add-log-exp
3×times-frac pow1/3 pow-prod-down
2×frac-times flip3-- associate-*r/ flip--
1×associate-*r* *-commutative div-inv
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
13.0ms
(* (/ (* (cbrt y) (cbrt y)) a) (* (- z t) (cbrt y)))

series642.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt y)
189.0ms
(cbrt y)
179.0ms
(cbrt y)
88.0ms
(* (/ (* (cbrt y) (cbrt y)) a) (* (- z t) (cbrt y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0332522
11450405
25001358

prune211.0ms

Filtered
80 candidates to 58 candidates (72.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes386.0ms

Accuracy

34.1% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.3b

bsearch43.0ms

Steps
ItersRangePoint
0
2.155207585795633e-303
2.2130857069116655e-303
2.1841466463536493e-303
9
-1.295457912603402e-17
-4.882763012316852e-23
-1.0389978753346052e-17

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02612
12612

end0.0ms

sample621.0ms

Algorithm
intervals
Results
306.0ms10694×body80valid