Details

Time bar (total: 4.9s)

sample25.0ms

Algorithm
intervals
Results
11.0ms266×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 17.6b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
5.2b
(/ (* y b) t)
5.4b
(/ (* y z) t)
10.9b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite32.0ms

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))
4.0ms
(/ (* y b) t)
5.0ms
(/ (* y z) t)
15.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ x (/ (* y z) t))
19.0ms
(/ (* y b) t)
17.0ms
(/ (* y z) t)
96.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0454843
11942782
25001782

prune283.0ms

Filtered
113 candidates to 73 candidates (64.6%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New9815113
Fresh000
Picked101
Done000
Total9915114

Merged error: 10.1b

Counts
114 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
3.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.4b
(/ (* y z) t)
10.9b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite38.0ms

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)
16.0ms
(* (/ 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)))))

series356.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt t)
48.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
17.0ms
(/ (* y z) t)
124.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify119.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07851567
139741374
250011332

prune494.0ms

Filtered
144 candidates to 104 candidates (72.2%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New1404144
Fresh11314
Picked101
Done000
Total14217159

Merged error: 9.6b

Counts
159 → 17

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
3.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.3b
(* y (/ z t))
10.9b
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite35.0ms

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)))
6.0ms
(* y (/ z t))
9.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series388.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt t)
48.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
17.0ms
(* y (/ z t))
127.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify112.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
08351528
143351333
250031292

prune490.0ms

Filtered
151 candidates to 108 candidates (71.5%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1492151
Fresh21416
Picked101
Done000
Total15216168

Merged error: 9.6b

Counts
168 → 16

localize19.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (cbrt y) (/ z t))
3.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
3.2b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ z t)))
10.9b
(/ (+ x (* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ z t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
53×add-exp-log
48×times-frac
36×add-cube-cbrt *-un-lft-identity associate-*r*
34×add-cbrt-cube
23×prod-exp cbrt-unprod
20×pow1
16×cbrt-prod
14×associate-*l*
11×cbrt-undiv div-exp
10×pow-prod-down unswap-sqr
8×associate-/r/
6×associate-*r/ frac-add
5×flip3-+ flip-+
4×div-inv add-log-exp
3×frac-times associate-*l/ associate-/r* *-commutative associate-/l*
2×associate-/l/
1×frac-2neg clear-num
Counts
4 → 160
Calls
4 calls:
8.0ms
(* (cbrt y) (/ z t))
14.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
11.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ z t)))
10.0ms
(/ (+ x (* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ z t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series349.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (cbrt y) (/ z t))
45.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
41.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ z t)))
157.0ms
(/ (+ x (* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ z t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify121.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
09542079
145141821
250011749

prune506.0ms

Filtered
172 candidates to 120 candidates (69.8%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1711172
Fresh11415
Picked101
Done000
Total17315188

Merged error: 9.6b

Counts
188 → 15

regimes506.0ms

Accuracy

49.2% (2.7b remaining)

Error of 13.1b against oracle of 10.4b and baseline of 15.8b

bsearch127.0ms

Steps
ItersRangePoint
7
5.902529941233592e+26
8.735509020663321e+28
3.0702964098391594e+27
10
-1.6574561910326728e+129
-2.8227101307296217e+118
-9.172008906914828e+123

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06243
16243

end0.0ms

sample637.0ms

Algorithm
intervals
Results
365.0ms8257×body80valid