Details

Time bar (total: 8.6s)

sample38.0ms

Algorithm
intervals
Results
13.0ms265×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1398
2478
3498
4498

prune6.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.7b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
2.8b
(/ (* y b) t)
5.9b
(/ (* y z) t)
9.9b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite30.0ms

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))
7.0ms
(/ (* y b) t)
4.0ms
(/ (* y z) t)
12.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ x (/ (* y z) t))
5.0ms
(/ (* y b) t)
5.0ms
(/ (* y z) t)
38.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0454843
11942782
25001782

prune499.0ms

Filtered
113 candidates to 73 candidates (35.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New10013113
Fresh000
Picked101
Done000
Total10113114

Merged error: 8.2b

Counts
114 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
2.8b
(/ (* y b) t)
3.9b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
9.9b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
48×add-sqr-sqrt
46×times-frac
32×add-exp-log add-cube-cbrt
25×add-cbrt-cube
22×associate-*r*
14×cbrt-prod
12×distribute-lft-out
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-/r*
7×associate-*l*
6×pow1 unswap-sqr
4×associate-/r/ div-inv associate-/l* add-log-exp
3×flip3-+ flip-+
2×frac-2neg frac-add clear-num associate-/l/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 132
Calls
4 calls:
1.0ms
(cbrt t)
4.0ms
(/ (* y b) t)
16.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
11.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series107.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt t)
5.0ms
(/ (* y b) t)
10.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
69.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify83.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07541573
135961419
250011366

prune1.0s

Filtered
144 candidates to 99 candidates (31.3%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1395144
Fresh4812
Picked101
Done000
Total14413157

Merged error: 7.9b

Counts
157 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
3.9b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
9.9b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
65×times-frac
48×add-exp-log
44×associate-*r*
43×add-cube-cbrt *-un-lft-identity
34×add-cbrt-cube
25×cbrt-prod
16×prod-exp cbrt-unprod
15×cbrt-undiv div-exp
14×associate-*l*
12×unswap-sqr
8×pow1 associate-/r/
6×frac-add
5×flip3-+ flip-+ div-inv
4×frac-times associate-*r/ associate-*l/ add-log-exp
3×associate-/r* associate-/l*
2×pow-prod-down *-commutative associate-/l/
1×frac-2neg pow1/3 clear-num
Counts
4 → 166
Calls
4 calls:
1.0ms
(cbrt t)
16.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
14.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
9.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series116.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
10.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
10.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
74.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify103.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
09762263
146562028
250011936

prune1.6s

Filtered
178 candidates to 128 candidates (28.1%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1762178
Fresh01212
Picked011
Done000
Total17615191

Merged error: 7.9b

Counts
191 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
3.9b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
9.6b
(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t))))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
89×add-sqr-sqrt
76×times-frac
65×associate-*r*
59×add-exp-log
51×*-un-lft-identity
50×add-cube-cbrt
39×add-cbrt-cube
22×cbrt-prod
20×prod-exp
18×div-exp cbrt-unprod
17×associate-*l*
16×cbrt-undiv associate-/r/
15×unswap-sqr
12×frac-add
11×pow1
10×flip3-+ flip-+
8×frac-times associate-*l/
7×associate-*r/
6×div-inv
4×add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×rec-exp 1-exp
1×pow-flip frac-2neg clear-num un-div-inv inv-pow
Counts
4 → 205
Calls
4 calls:
7.0ms
(/ 1 (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
14.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
14.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
15.0ms
(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t))))))

series115.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ 1 (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
10.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
10.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
75.0ms
(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t))))))

simplify51.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010862963
150012663

prune2.3s

Filtered
217 candidates to 157 candidates (27.6%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New2170217
Fresh01313
Picked011
Done011
Total21715232

Merged error: 7.9b

Counts
232 → 15

regimes1.1s

Accuracy

32.6% (3.0b remaining)

Error of 13.4b against oracle of 10.4b and baseline of 14.8b

bsearch110.0ms

Steps
ItersRangePoint
9
1325.407106289753
214974022.58921686
185483425.61793083
3
-6.264656011714062e-137
-5.074118447496647e-137
-6.190247413950474e-137

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04727
14727

end0.0ms

sample938.0ms

Algorithm
intervals
Results
432.0ms8281×body80valid

Profiling

Loading profile data...