Details

Time bar (total: 3.7s)

sample25.0ms

Algorithm
intervals
Results
8.0ms349×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 6.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.2b
(/ (* y (- z t)) a)

rewrite46.0ms

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:
9.0ms
(+ x (/ (* y (- z t)) a))
19.0ms
(* y (- z t))
17.0ms
(/ (* y (- z t)) a)

series127.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ x (/ (* y (- z t)) a))
39.0ms
(* y (- z t))
44.0ms
(/ (* y (- z t)) a)

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0297325
11236280
25001280

prune135.0ms

Pruning

7 alts after pruning (7 fresh and 0 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))
5.0b
(/ y (/ a (- z t)))

rewrite72.0ms

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:
35.0ms
(+ x (/ y (/ a (- z t))))
10.0ms
(/ a (- z t))
18.0ms
(/ y (/ a (- z t)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (/ y (/ a (- z t))))
33.0ms
(/ a (- z t))
70.0ms
(/ y (/ a (- z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05471150
123841110
250021107

prune389.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
0.7b
(/ y (/ (* (cbrt a) (cbrt a)) (* (cbrt (- z t)) (cbrt (- z t)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
43×times-frac
33×associate-/r/
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×flip3-- flip--
22×add-exp-log
16×frac-times
14×add-cbrt-cube
13×associate-/r*
9×cbrt-undiv cbrt-prod div-exp
8×associate-*r/ associate-*l/
5×div-inv
4×pow1 prod-exp cbrt-unprod add-log-exp
3×pow1/3 associate-/l*
1×frac-2neg clear-num
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
31.0ms
(/ y (/ (* (cbrt a) (cbrt a)) (* (cbrt (- z t)) (cbrt (- z t)))))

series737.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt a)
168.0ms
(cbrt a)
192.0ms
(cbrt a)
209.0ms
(/ y (/ (* (cbrt a) (cbrt a)) (* (cbrt (- z t)) (cbrt (- z t)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05731458
122911252
250031217

prune420.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
5.9b
(* (/ y a) (- z t))

rewrite38.0ms

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:
10.0ms
(+ x (* (/ y a) (- z t)))
26.0ms
(* (/ y a) (- z t))

series94.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ x (* (/ y a) (- z t)))
47.0ms
(* (/ y a) (- z t))

simplify37.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0323335
11236299
25001299

prune122.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes289.0ms

Accuracy

75% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12512

end0.0ms

sample725.0ms

Algorithm
intervals
Results
281.0ms10782×body80valid