Details

Time bar (total: 3.8s)

sample27.0ms

Algorithm
intervals
Results
13.0ms347×body80valid

simplify50.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.1b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
8.8b
(/ (* y (- z t)) a)

rewrite20.0ms

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:
6.0ms
(* y (- z t))
5.0ms
(+ x (/ (* y (- z t)) a))
7.0ms
(/ (* y (- z t)) a)

series154.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* y (- z t))
54.0ms
(+ x (/ (* y (- z t)) a))
56.0ms
(/ (* y (- z t)) a)

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0297325
11236280
25001280

prune146.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New63770
Fresh000
Picked011
Done000
Total63871

Merged error: 0.0b

Counts
71 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- z t))
0.0b
(+ x (/ y (/ a (- z t))))
4.9b
(/ y (/ a (- z t)))

rewrite43.0ms

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:
5.0ms
(/ a (- z t))
20.0ms
(+ x (/ y (/ a (- z t))))
9.0ms
(/ y (/ a (- z t)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ a (- z t))
59.0ms
(+ x (/ y (/ a (- z t))))
63.0ms
(/ y (/ a (- z t)))

simplify71.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05471150
123841110
250021107

prune544.0ms

Filtered
160 candidates to 119 candidates (74.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1582160
Fresh336
Picked011
Done101
Total1626168

Merged error: 0b

Counts
168 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z t))
0.0b
(+ x (/ (/ y a) (/ 1 (- z t))))
7.8b
(/ (/ y a) (/ 1 (- z t)))

rewrite120.0ms

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:
6.0ms
(/ 1 (- z t))
63.0ms
(+ x (/ (/ y a) (/ 1 (- z t))))
16.0ms
(/ (/ y a) (/ 1 (- z t)))

series145.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- z t))
52.0ms
(+ x (/ (/ y a) (/ 1 (- z t))))
56.0ms
(/ (/ y a) (/ 1 (- z t)))

simplify89.0ms

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
017114274
150013895

prune730.0ms

Filtered
393 candidates to 217 candidates (55.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3930393
Fresh044
Picked011
Done011
Total3936399

Merged error: 0b

Counts
399 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) a)
0.0b
(+ x (* y (/ (- z t) a)))
5.2b
(* y (/ (- z t) a))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
9.0ms
(/ (- z t) a)
3.0ms
(+ x (* y (/ (- z t) a)))
10.0ms
(* y (/ (- z t) a))

series135.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (- z t) a)
56.0ms
(+ x (* y (/ (- z t) a)))
51.0ms
(* y (/ (- z t) a))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0345498
11408465
25002453

prune183.0ms

Filtered
96 candidates to 66 candidates (68.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done022
Total966102

Merged error: 0b

Counts
102 → 6

regimes259.0ms

Accuracy

68.7% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.6b

bsearch107.0ms

Steps
ItersRangePoint
10
3.443827461722442e-74
3.328521043133734e-63
3.285289901381684e-63
10
-1.3002308350545781e+28
-231497043631887.72
-3.247655881488685e+16

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0299
1299

end0.0ms

sample640.0ms

Algorithm
intervals
Results
319.0ms10711×body80valid