Details

Time bar (total: 15.3s)

sample84.0ms

Algorithm
intervals
Results
46.0ms692×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5001
61941
5500
4222
3102
241
118
07

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ y (* z x)) (cosh x))
6.1b
(/ y (* z x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×*-un-lft-identity associate-*l* add-cube-cbrt
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×cosh-def div-inv add-log-exp
1×frac-times clear-num associate-/r* frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative unswap-sqr
Counts
2 → 50
Calls
2 calls:
19.0ms
(* (/ y (* z x)) (cosh x))
6.0ms
(/ y (* z x))

series243.0ms

Counts
2 → 6
Calls
2 calls:
209.0ms
(* (/ y (* z x)) (cosh x))
34.0ms
(/ y (* z x))

simplify917.0ms

Counts
56 → 56
Iterations
IterNodes
done5000
21739
1284
0106

prune257.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (cosh x) z)
0.2b
(/ (/ (cosh x) z) x)
6.8b
(* y (/ (/ (cosh x) z) x))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×*-un-lft-identity add-cube-cbrt
43×associate-*r*
19×add-cbrt-cube add-exp-log
16×associate-/l*
10×div-inv
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1
3×associate-*l* prod-exp cbrt-unprod add-log-exp unswap-sqr
2×clear-num frac-2neg associate-/l/
1×cosh-def pow-prod-down associate-*r/ *-commutative
Counts
3 → 163
Calls
3 calls:
5.0ms
(/ (cosh x) z)
22.0ms
(/ (/ (cosh x) z) x)
42.0ms
(* y (/ (/ (cosh x) z) x))

series321.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(/ (cosh x) z)
84.0ms
(/ (/ (cosh x) z) x)
159.0ms
(* y (/ (/ (cosh x) z) x))

simplify1.2s

Counts
172 → 172
Iterations
IterNodes
done5000
23541
1722
0269

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
5.0b
(* (/ (* y (/ (sqrt (cosh x)) (cbrt x))) (cbrt x)) (/ (/ (sqrt (cosh x)) z) (cbrt x)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
256×times-frac
157×add-sqr-sqrt
136×associate-*r*
133×*-un-lft-identity add-cube-cbrt
81×cbrt-prod
58×add-exp-log
56×sqrt-prod
38×add-cbrt-cube
24×cbrt-undiv div-exp
18×prod-exp cbrt-unprod
10×associate-*l*
8×div-inv
7×unswap-sqr
6×pow1
4×add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 222
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
118.0ms
(* (/ (* y (/ (sqrt (cosh x)) (cbrt x))) (cbrt x)) (/ (/ (sqrt (cosh x)) z) (cbrt x)))

series1.0s

Counts
4 → 12
Calls
4 calls:
316.0ms
(cbrt x)
259.0ms
(cbrt x)
249.0ms
(cbrt x)
177.0ms
(* (/ (* y (/ (sqrt (cosh x)) (cbrt x))) (cbrt x)) (/ (/ (sqrt (cosh x)) z) (cbrt x)))

simplify701.0ms

Counts
234 → 234
Iterations
IterNodes
done5000
11529
0411

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp (- x)) (exp x))
0.0b
(* (/ y x) (* 1/2 (+ (exp (- x)) (exp x))))
7.3b
(/ (* (/ y x) (* 1/2 (+ (exp (- x)) (exp x)))) z)

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
33×add-cbrt-cube add-exp-log
14×*-un-lft-identity
13×associate-*l*
12×add-sqr-sqrt times-frac prod-exp associate-*r/ add-cube-cbrt cbrt-unprod
9×cbrt-undiv div-exp
8×pow1
5×flip3-+ flip-+ add-log-exp associate-/l/
4×distribute-rgt-in frac-times distribute-lft-in
3×associate-/r* pow-prod-down
2×associate-*l/ div-inv
1×+-commutative clear-num sum-log frac-2neg associate-*r* *-commutative distribute-lft-out associate-/l*
Counts
3 → 85
Calls
3 calls:
22.0ms
(+ (exp (- x)) (exp x))
67.0ms
(* (/ y x) (* 1/2 (+ (exp (- x)) (exp x))))
90.0ms
(/ (* (/ y x) (* 1/2 (+ (exp (- x)) (exp x)))) z)

series311.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (exp (- x)) (exp x))
128.0ms
(* (/ y x) (* 1/2 (+ (exp (- x)) (exp x))))
153.0ms
(/ (* (/ y x) (* 1/2 (+ (exp (- x)) (exp x)))) z)

simplify2.4s

Counts
94 → 94
Iterations
IterNodes
done5000
24462
1597
0188

prune542.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes252.0ms

Accuracy

94% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.9b

bsearch155.0ms

Steps
ItersRangePoint
10
2.1057042201319657e-73
6.441305541861675e-61
6.315061908017309e-61
8
-6367.3348759504115
-7.6402537551187235
-41.6749446054643

simplify8.0ms

Iterations
IterNodes
done38
238
136
029

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.8s22534×body80valid