Details

Time bar (total: 5.6s)

sample21.0ms

Algorithm
intervals
Results
9.0ms331×body80valid

simplify41.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
4.8b
(/ (* 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:
4.0ms
(+ x (/ (* y (- z t)) a))
10.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series126.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ x (/ (* y (- z t)) a))
36.0ms
(* y (- z t))
44.0ms
(/ (* y (- z t)) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0297325
11236280
25001280

prune135.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ a (* y (- z t)))))
0.0b
(* y (- z t))
0.5b
(/ 1 (/ a (* y (- z t))))
4.8b
(/ a (* y (- z t)))

rewrite46.0ms

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:
14.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
10.0ms
(* y (- z t))
13.0ms
(/ 1 (/ a (* y (- z t))))
5.0ms
(/ a (* y (- z t)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
33.0ms
(* y (- z t))
51.0ms
(/ 1 (/ a (* y (- z t))))
35.0ms
(/ a (* y (- z t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0454816
12100669
25003652

prune236.0ms

Filtered
138 candidates to 74 candidates (53.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ a y) (- z t))))
0.5b
(/ 1 (/ (/ a y) (- z t)))
5.1b
(/ (/ a y) (- z t))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
82.0ms
(+ x (/ 1 (/ (/ a y) (- z t))))
21.0ms
(/ 1 (/ (/ a y) (- z t)))
9.0ms
(/ (/ a y) (- z t))

series137.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ x (/ 1 (/ (/ a y) (- z t))))
48.0ms
(/ 1 (/ (/ a y) (- z t)))
42.0ms
(/ (/ a y) (- z t))

simplify67.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014194509
150023663

prune686.0ms

Filtered
434 candidates to 204 candidates (47.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
2.7b
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ 1 (/ (/ a y) (cbrt (- z t)))))
2.8b
(/ (/ a y) (cbrt (- z t)))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
1065×times-frac
595×add-sqr-sqrt
572×*-un-lft-identity
457×add-cube-cbrt
335×associate-*r*
279×cbrt-prod
83×add-exp-log
55×distribute-lft-out-- difference-of-squares
38×div-inv
36×cbrt-div
33×div-exp
30×prod-exp
27×add-cbrt-cube
18×flip3-- flip--
16×frac-times
15×cbrt-undiv
13×associate-/l*
12×associate-*l/ cbrt-unprod
11×unswap-sqr
9×pow1 associate-/r/
8×associate-/r*
6×rec-exp 1-exp
5×associate-*r/
4×add-log-exp
3×pow-prod-down
2×pow1/3
1×frac-2neg associate-*l* clear-num un-div-inv *-commutative associate-/l/
Counts
4 → 575
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
157.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ 1 (/ (/ a y) (cbrt (- z t)))))
11.0ms
(/ (/ a y) (cbrt (- z t)))

series450.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (- z t))
151.0ms
(cbrt (- z t))
41.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ 1 (/ (/ a y) (cbrt (- z t)))))
108.0ms
(/ (/ a y) (cbrt (- z t)))

simplify127.0ms

Algorithm
egg-herbie
Counts
587 → 587
Iterations

Useful iterations: 1 (59.0ms)

IterNodesCost
033367705
150017355

prune2.0s

Filtered
587 candidates to 453 candidates (77.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes238.0ms

Accuracy

0% (2.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1145

end0.0ms

sample620.0ms

Algorithm
intervals
Results
304.0ms10704×body80valid