Details

Time bar (total: 4.4s)

sample24.0ms

Algorithm
intervals
Results
10.0ms348×body80valid

simplify44.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
5.9b
(/ (* 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))
9.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series144.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ x (/ (* y (- z t)) a))
37.0ms
(* y (- z t))
53.0ms
(/ (* y (- z t)) a)

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0297325
11236280
25001280

prune162.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.9b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
0.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
35.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series680.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt a)
189.0ms
(cbrt a)
192.0ms
(cbrt a)
100.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0480918
12615741
25001706

prune368.0ms

Filtered
116 candidates to 89 candidates (76.7%)
Pruning

10 alts after pruning (9 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))))
5.9b
(/ 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:
17.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
10.0ms
(* y (- z t))
10.0ms
(/ 1 (/ a (* y (- z t))))
5.0ms
(/ a (* y (- z t)))

series187.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ x (/ 1 (/ a (* y (- z t)))))
37.0ms
(* y (- z t))
57.0ms
(/ 1 (/ a (* y (- z t))))
39.0ms
(/ a (* y (- z t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0454816
12100669
25003652

prune257.0ms

Filtered
138 candidates to 75 candidates (54.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ a y) (- z t))))
0.5b
(/ 1 (/ (/ a y) (- z t)))
8.5b
(/ (/ a y) (- z t))

rewrite145.0ms

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:
80.0ms
(+ x (/ 1 (/ (/ a y) (- z t))))
20.0ms
(/ 1 (/ (/ a y) (- z t)))
9.0ms
(/ (/ a y) (- z t))

series147.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ x (/ 1 (/ (/ a y) (- z t))))
61.0ms
(/ 1 (/ (/ a y) (- z t)))
39.0ms
(/ (/ a y) (- z t))

simplify75.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014274509
150013663

prune922.0ms

Filtered
434 candidates to 204 candidates (47.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes211.0ms

Accuracy

67.4% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 3.3b

bsearch81.0ms

Steps
ItersRangePoint
10
1.779137324325716e-41
2.9085732659571565e-27
1.75993203164166e-29
6
-2.8843077602314214e+87
-2.0515145223440774e+86
-7.856051563474259e+86

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03518
13518

end0.0ms

sample618.0ms

Algorithm
intervals
Results
306.0ms10614×body80valid