Details

Time bar (total: 5.1s)

sample29.0ms

Algorithm
intervals
Results
16.0ms264×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1398
2478
3498
4498

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: 16.9b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
6.5b
(/ (* y z) t)
6.6b
(/ (* y b) t)
12.1b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
26×times-frac
24×distribute-lft-out
19×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
11×associate-/r*
9×add-log-exp
6×associate-/l*
5×cbrt-undiv flip3-+ div-exp flip-+
4×pow1 frac-add associate-/r/
3×frac-2neg clear-num sum-log div-inv
2×prod-exp cbrt-unprod associate-/l/
1×+-commutative associate-+l+
Counts
4 → 106
Calls
4 calls:
7.0ms
(+ (+ a 1.0) (/ (* y b) t))
4.0ms
(/ (* y z) t)
4.0ms
(/ (* y b) t)
13.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (+ a 1.0) (/ (* y b) t))
20.0ms
(/ (* y z) t)
18.0ms
(/ (* y b) t)
92.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0469909
12102841
25001841

prune278.0ms

Filtered
118 candidates to 78 candidates (66.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10711118
Fresh000
Picked101
Done000
Total10811119

Merged error: 11.9b

Counts
119 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
5.0b
(/ y (/ t z))
6.6b
(/ (* y b) t)
12.1b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
98×times-frac
59×add-sqr-sqrt add-cube-cbrt
24×distribute-lft-out
21×associate-/r*
16×add-exp-log add-cbrt-cube
9×add-log-exp
8×associate-/l*
7×div-inv
6×cbrt-undiv div-exp
5×flip3-+ associate-/r/ flip-+
4×pow1 frac-add
3×frac-2neg clear-num sum-log
2×associate-/l/
1×+-commutative associate-+l+ prod-exp cbrt-unprod
Counts
4 → 155
Calls
4 calls:
7.0ms
(+ (+ a 1.0) (/ (* y b) t))
5.0ms
(/ y (/ t z))
4.0ms
(/ (* y b) t)
19.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series309.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (+ a 1.0) (/ (* y b) t))
17.0ms
(/ y (/ t z))
21.0ms
(/ (* y b) t)
232.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify74.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06751274
128791201
250011200

prune396.0ms

Filtered
167 candidates to 118 candidates (70.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1616167
Fresh3710
Picked101
Done000
Total16513178

Merged error: 10.4b

Counts
178 → 13

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
2.7b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.0b
(/ y (/ t z))
12.1b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac
87×add-sqr-sqrt
79×*-un-lft-identity
71×add-cube-cbrt
32×add-exp-log
25×add-cbrt-cube
22×associate-*r*
16×associate-/r*
14×cbrt-prod
11×cbrt-undiv div-exp
9×associate-/r/
8×prod-exp cbrt-unprod div-inv
7×associate-*l* associate-/l*
6×pow1 frac-add unswap-sqr
5×flip3-+ flip-+
4×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 → 181
Calls
4 calls:
1.0ms
(cbrt t)
14.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.0ms
(/ y (/ t z))
23.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series516.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt t)
44.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
21.0ms
(/ y (/ t z))
269.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
09851932
147331714
250021698

prune587.0ms

Filtered
193 candidates to 154 candidates (79.8%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1921193
Fresh01212
Picked011
Done000
Total19214206

Merged error: 10.4b

Counts
206 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y (/ t z)))
3.2b
(/ y (/ t b))
5.0b
(/ y (/ t z))
12.1b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
170×times-frac
138×*-un-lft-identity
99×add-sqr-sqrt add-cube-cbrt
31×associate-/r*
22×distribute-lft-out
16×add-exp-log add-cbrt-cube
11×div-inv
10×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
4×pow1 flip3-+ flip-+
3×frac-2neg clear-num
2×frac-add associate-/l/
1×+-commutative sum-log
Counts
4 → 199
Calls
4 calls:
11.0ms
(+ x (/ y (/ t z)))
5.0ms
(/ y (/ t b))
5.0ms
(/ y (/ t z))
204.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ y (/ t b))))

series294.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ x (/ y (/ t z)))
19.0ms
(/ y (/ t b))
18.0ms
(/ y (/ t z))
224.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ y (/ t b))))

simplify79.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
08151575
132991504
250011504

prune517.0ms

Filtered
211 candidates to 158 candidates (74.9%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New2092211
Fresh11112
Picked101
Done011
Total21114225

Merged error: 8.6b

Counts
225 → 14

regimes417.0ms

Accuracy

40% (3.6b remaining)

Error of 13.6b against oracle of 10.0b and baseline of 16.0b

bsearch115.0ms

Steps
ItersRangePoint
5
5.92926040207687e-112
1.2744445260486278e-111
1.260066006878552e-111
10
-7.22948870513118e+91
-5.990984502720751e+78
-2.4152613464580894e+85

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04518
14518

end0.0ms

sample731.0ms

Algorithm
intervals
Results
444.0ms8280×body80valid

Profiling

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