Details

Time bar (total: 5.5s)

sample26.0ms

Algorithm
intervals
Results
12.0ms265×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: 18.2b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
5.2b
(/ (* y b) t)
6.0b
(/ (* y z) t)
12.0b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite31.0ms

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

series153.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ x (/ (* y z) t))
18.0ms
(/ (* y b) t)
17.0ms
(/ (* y z) t)
91.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0454843
11942782
25001782

prune276.0ms

Filtered
113 candidates to 73 candidates (64.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10211113
Fresh000
Picked101
Done000
Total10311114

Merged error: 11.4b

Counts
114 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
4.9b
(/ y (/ t b))
6.0b
(/ (* y z) t)
12.0b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity times-frac
59×add-sqr-sqrt add-cube-cbrt
22×distribute-lft-out
21×associate-/r*
16×add-exp-log add-cbrt-cube
8×associate-/l*
7×div-inv
6×cbrt-undiv div-exp add-log-exp
5×associate-/r/
4×pow1 flip3-+ flip-+
3×frac-2neg clear-num
2×frac-add associate-/l/
1×+-commutative prod-exp sum-log cbrt-unprod
Counts
4 → 150
Calls
4 calls:
4.0ms
(+ x (/ (* y z) t))
5.0ms
(/ y (/ t b))
4.0ms
(/ (* y z) t)
20.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

series157.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ x (/ (* y z) t))
22.0ms
(/ y (/ t b))
17.0ms
(/ (* y z) t)
92.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

simplify70.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06721210
128531144
250011144

prune377.0ms

Filtered
162 candidates to 116 candidates (71.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1575162
Fresh5510
Picked101
Done000
Total16310173

Merged error: 10.4b

Counts
173 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
4.9b
(/ y (/ t b))
12.0b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
118×times-frac
92×*-un-lft-identity
88×add-sqr-sqrt
72×add-cube-cbrt
32×add-exp-log
25×add-cbrt-cube
22×associate-*r*
18×associate-/r*
14×cbrt-prod
12×distribute-lft-out
11×cbrt-undiv div-exp
8×prod-exp cbrt-unprod div-inv
7×associate-*l*
6×pow1 associate-/l* unswap-sqr
5×associate-/r/
4×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 → 181
Calls
4 calls:
1.0ms
(cbrt t)
14.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.0ms
(/ y (/ t b))
19.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

series502.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt t)
45.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
20.0ms
(/ y (/ t b))
265.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

simplify106.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09461928
145851700
250031652

prune629.0ms

Filtered
193 candidates to 146 candidates (75.6%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1885193
Fresh099
Picked101
Done000
Total18914203

Merged error: 9.9b

Counts
203 → 14

localize37.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (/ (cbrt y) (cbrt t)) (/ z (cbrt t)))
0.9b
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ z (cbrt t))))
4.9b
(/ y (/ t b))
12.0b
(/ (+ x (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ z (cbrt t))))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
172×times-frac
149×add-sqr-sqrt
117×*-un-lft-identity
97×add-cube-cbrt
92×add-exp-log
65×cbrt-prod
50×associate-*l*
48×add-cbrt-cube
36×prod-exp cbrt-unprod
30×cbrt-undiv div-exp
23×associate-*r*
18×associate-/r*
15×unswap-sqr
12×distribute-lft-out
11×pow1
9×div-inv
6×frac-times associate-*r/ associate-/l*
5×associate-/r/
4×pow-prod-down associate-*l/ add-log-exp
3×flip3-+ flip-+
2×frac-2neg frac-add clear-num *-commutative associate-/l/
Counts
4 → 266
Calls
4 calls:
39.0ms
(* (/ (cbrt y) (cbrt t)) (/ z (cbrt t)))
31.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ z (cbrt t))))
10.0ms
(/ y (/ t b))
38.0ms
(/ (+ x (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ z (cbrt t))))) (+ (+ a 1.0) (/ y (/ t b))))

series437.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (/ (cbrt y) (cbrt t)) (/ z (cbrt t)))
19.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ z (cbrt t))))
20.0ms
(/ y (/ t b))
235.0ms
(/ (+ x (* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ z (cbrt t))))) (+ (+ a 1.0) (/ y (/ t b))))

simplify59.0ms

Algorithm
egg-herbie
Counts
278 → 278
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013243453
150013058

prune913.0ms

Filtered
278 candidates to 212 candidates (76.3%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New2780278
Fresh01313
Picked011
Done000
Total27814292

Merged error: 9.9b

Counts
292 → 14

regimes503.0ms

Accuracy

35.5% (3.5b remaining)

Error of 13.1b against oracle of 9.6b and baseline of 15.0b

bsearch65.0ms

Steps
ItersRangePoint
2
1.7467522264012953e-91
1.99422131093999e-91
1.963287675372653e-91
7
-3.352375360435654e+53
-1.0238454085581374e+52
-9.935432038817744e+52

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04834
14834

end0.0ms

sample882.0ms

Algorithm
intervals
Results
594.0ms8302×body80valid

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