Details

Time bar (total: 44.5s)

sample70.0ms

Algorithm
intervals
Results
20.0ms335×body80valid

simplify7.4s

Counts
1 → 1
Iterations
IterNodes
done5000
204946
194678
184407
174139
163867
153599
143328
133060
122794
112528
102251
91857
81548
7962
6412
5205
4128
363
230
116
09

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.6b
(/ (* y (- z t)) a)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×associate-/r* sub-neg times-frac flip3-- associate-*l* insert-posit16 flip--
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares associate-/l/
1×clear-num frac-2neg diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 66
Calls
3 calls:
11.0ms
(- x (/ (* y (- z t)) a))
38.0ms
(* y (- z t))
25.0ms
(/ (* y (- z t)) a)

series268.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(- x (/ (* y (- z t)) a))
69.0ms
(* y (- z t))
93.0ms
(/ (* y (- z t)) a)

simplify5.6s

Counts
75 → 75
Iterations
IterNodes
done5129
33734
2882
1313
0123

prune963.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.1b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×insert-posit16 add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 108
Calls
4 calls:
3.0ms
(cbrt a)
3.0ms
(cbrt a)
3.0ms
(cbrt a)
122.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series1.1s

Counts
4 → 12
Calls
4 calls:
296.0ms
(cbrt a)
314.0ms
(cbrt a)
295.0ms
(cbrt a)
176.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify4.3s

Counts
120 → 120
Iterations
IterNodes
done5000
22093
1508
0163

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize164.0ms

Local error

Found 4 expressions with local error:

2.5b
(cbrt (/ (- z t) (cbrt a)))
2.5b
(cbrt (/ (- z t) (cbrt a)))
2.5b
(cbrt (/ (- z t) (cbrt a)))
3.1b
(/ y (* (/ (cbrt a) (cbrt (/ (- z t) (cbrt a)))) (/ (cbrt a) (cbrt (/ (- z t) (cbrt a))))))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
147×cbrt-prod
93×add-sqr-sqrt *-un-lft-identity times-frac
57×add-cube-cbrt
22×add-exp-log
18×distribute-lft-out-- difference-of-squares
14×add-cbrt-cube
9×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r/ associate-/l*
1×frac-times clear-num associate-/r* frac-2neg associate-*l/ associate-*r/
Counts
4 → 163
Calls
4 calls:
10.0ms
(cbrt (/ (- z t) (cbrt a)))
16.0ms
(cbrt (/ (- z t) (cbrt a)))
20.0ms
(cbrt (/ (- z t) (cbrt a)))
110.0ms
(/ y (* (/ (cbrt a) (cbrt (/ (- z t) (cbrt a)))) (/ (cbrt a) (cbrt (/ (- z t) (cbrt a))))))

series2.5s

Counts
4 → 12
Calls
4 calls:
589.0ms
(cbrt (/ (- z t) (cbrt a)))
609.0ms
(cbrt (/ (- z t) (cbrt a)))
594.0ms
(cbrt (/ (- z t) (cbrt a)))
702.0ms
(/ y (* (/ (cbrt a) (cbrt (/ (- z t) (cbrt a)))) (/ (cbrt a) (cbrt (/ (- z t) (cbrt a))))))

simplify6.4s

Counts
175 → 175
Iterations
IterNodes
done5002
34538
21245
1491
0233

prune2.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
6.7b
(/ y (/ a (- z t)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-cbrt-cube add-exp-log
6×flip3-- div-inv flip-- associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 insert-posit16
2×clear-num frac-2neg
1×sub-neg diff-log
Counts
3 → 158
Calls
3 calls:
78.0ms
(- x (/ y (/ a (- z t))))
28.0ms
(/ a (- z t))
23.0ms
(/ y (/ a (- z t)))

series278.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(- x (/ y (/ a (- z t))))
65.0ms
(/ a (- z t))
124.0ms
(/ y (/ a (- z t)))

simplify3.6s

Counts
167 → 167
Iterations
IterNodes
done5000
22399
1631
0256

prune2.4s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes3.0s

Accuracy

58.7% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 3.2b

bsearch147.0ms

Steps
ItersRangePoint
5
1.6092474117272988e-114
6.40551636908869e-114
6.3044904655620086e-114
9
-1.442136557290824e+79
-4.217802647696024e+72
-4.2928675080966004e+72

simplify8.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample1.4s

Algorithm
intervals
Results
583.0ms10593×body80valid