Details

Time bar (total: 4.8s)

sample30.0ms

Algorithm
intervals
Results
16.0ms269×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1398
2478
3498
4498

prune3.0ms

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: 19.1b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
5.3b
(/ (* y b) t)
6.1b
(/ (* y z) t)
13.0b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
26×times-frac
22×distribute-lft-out
19×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×pow1 flip3-+ associate-/r/ flip-+
3×frac-2neg clear-num div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 101
Calls
4 calls:
4.0ms
(+ x (/ (* y z) t))
5.0ms
(/ (* y b) t)
4.0ms
(/ (* y z) t)
12.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ x (/ (* y z) t))
21.0ms
(/ (* y b) t)
17.0ms
(/ (* y z) t)
92.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0454843
11942782
25001782

prune274.0ms

Filtered
113 candidates to 73 candidates (64.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New10310113
Fresh000
Picked101
Done000
Total10410114

Merged error: 11.5b

Counts
114 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
6.1b
(/ (* y z) t)
13.0b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×times-frac
39×*-un-lft-identity
32×add-exp-log
31×add-cube-cbrt
25×add-cbrt-cube
22×associate-*r*
14×cbrt-prod
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-/r/
7×associate-*l*
6×pow1 frac-add associate-/r* unswap-sqr
5×flip3-+ flip-+ associate-/l*
4×div-inv distribute-lft-out add-log-exp
3×frac-times associate-*r/ associate-*l/
2×frac-2neg clear-num associate-/l/
1×pow1/3 pow-prod-down *-commutative
Counts
4 → 132
Calls
4 calls:
1.0ms
(cbrt t)
17.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.0ms
(/ (* y z) t)
11.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series376.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt t)
52.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
18.0ms
(/ (* y z) t)
131.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
07851567
139741374
250011332

prune415.0ms

Filtered
144 candidates to 104 candidates (72.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1422144
Fresh099
Picked101
Done000
Total14311154

Merged error: 11.1b

Counts
154 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
3.2b
(* y (/ z t))
13.0b
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
47×times-frac
36×add-cube-cbrt *-un-lft-identity
35×associate-*r*
32×add-exp-log
25×add-cbrt-cube
14×cbrt-prod
10×associate-*l* prod-exp cbrt-unprod
9×cbrt-undiv div-exp
8×pow1 associate-/r/ unswap-sqr
6×frac-add
5×flip3-+ flip-+
4×associate-*r/ div-inv add-log-exp
3×frac-times associate-*l/ associate-/r* associate-/l*
2×pow-prod-down *-commutative associate-/l/
1×frac-2neg pow1/3 clear-num
Counts
4 → 139
Calls
4 calls:
1.0ms
(cbrt t)
14.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
7.0ms
(* y (/ z t))
9.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series363.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt t)
46.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
17.0ms
(* y (/ z t))
129.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify108.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
08351528
143351333
250031292

prune488.0ms

Filtered
151 candidates to 111 candidates (73.5%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1465151
Fresh1910
Picked101
Done000
Total14814162

Merged error: 11.1b

Counts
162 → 14

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (* (cbrt (* (cbrt t) (cbrt t))) (cbrt (cbrt t)))))
3.2b
(* y (/ z t))
13.0b
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (* (cbrt (* (cbrt t) (cbrt t))) (cbrt (cbrt t)))))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
35×add-cbrt-cube
34×add-sqr-sqrt
26×times-frac
25×add-cube-cbrt *-un-lft-identity
20×associate-*r*
17×prod-exp cbrt-unprod
14×cbrt-undiv div-exp
10×associate-*l*
8×pow1 associate-/r/
6×frac-add
5×flip3-+ flip-+
4×associate-*r/ div-inv add-log-exp unswap-sqr
3×cbrt-prod frac-times associate-*l/ associate-/r* associate-/l*
2×pow-prod-down *-commutative associate-/l/
1×frac-2neg pow1/3 clear-num
Counts
4 → 126
Calls
4 calls:
1.0ms
(cbrt t)
14.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (* (cbrt (* (cbrt t) (cbrt t))) (cbrt (cbrt t)))))
6.0ms
(* y (/ z t))
9.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (* (cbrt (* (cbrt t) (cbrt t))) (cbrt (cbrt t)))))))

series383.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt t)
46.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (* (cbrt (* (cbrt t) (cbrt t))) (cbrt (cbrt t)))))
17.0ms
(* y (/ z t))
133.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (* (cbrt (* (cbrt t) (cbrt t))) (cbrt (cbrt t)))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07892046
140231744
250011720

prune447.0ms

Filtered
138 candidates to 98 candidates (71.0%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1380138
Fresh01313
Picked011
Done000
Total13814152

Merged error: 11.1b

Counts
152 → 14

regimes471.0ms

Accuracy

54% (2.5b remaining)

Error of 12.9b against oracle of 10.5b and baseline of 15.8b

bsearch90.0ms

Steps
ItersRangePoint
9
5.693611297421808e-48
1.116648753662276e-42
1.1255073987770821e-43
3
-3.697546825075719e+35
-2.707928348178376e+35
-2.7580771018715404e+35

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05128
15128

end0.0ms

sample735.0ms

Algorithm
intervals
Results
427.0ms8243×body80valid