Details

Time bar (total: 1.4m)

sample75.0ms

Algorithm
intervals
Results
27.0ms272×body80valid

simplify661.0ms

Counts
1 → 1
Iterations
IterNodes
done241
8241
7230
6201
5169
4123
380
244
120
010

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 2.0 (/ z x))
6.0b
(/ (/ 2.0 (/ z x)) (- y t))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
691×times-frac
389×add-sqr-sqrt *-un-lft-identity
299×add-cube-cbrt
47×associate-/l*
45×distribute-lft-out-- difference-of-squares
30×div-inv
18×associate-/r*
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp associate-/r/
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 364
Calls
2 calls:
30.0ms
(/ 2.0 (/ z x))
75.0ms
(/ (/ 2.0 (/ z x)) (- y t))

series122.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 2.0 (/ z x))
95.0ms
(/ (/ 2.0 (/ z x)) (- y t))

simplify7.3s

Counts
370 → 370
Iterations
IterNodes
done5003
24404
11506
0570

prune4.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize261.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(/ (sqrt 2.0) (/ z (cbrt x)))
1.1b
(* (/ (/ (* (sqrt 2.0) (* (cbrt x) (cbrt x))) (cbrt (- y t))) (cbrt (- y t))) (/ (/ (sqrt 2.0) (/ z (cbrt x))) (cbrt (- y t))))
1.2b
(/ (/ (sqrt 2.0) (/ z (cbrt x))) (cbrt (- y t)))

rewrite3.9s

Algorithm
rewrite-expression-head
Rules
6838×times-frac
3653×add-sqr-sqrt
3431×*-un-lft-identity
2837×add-cube-cbrt
2517×cbrt-prod
1209×sqrt-prod
1102×associate-*r*
297×distribute-lft-out-- difference-of-squares
143×associate-/l*
138×div-inv
128×add-exp-log
118×associate-*l*
67×cbrt-undiv add-cbrt-cube div-exp
45×unswap-sqr
40×associate-/r/
32×prod-exp cbrt-unprod
30×associate-/r*
22×cbrt-div
11×flip3-- flip--
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×frac-times pow1/3 pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 2775
Calls
4 calls:
3.0ms
(cbrt x)
43.0ms
(/ (sqrt 2.0) (/ z (cbrt x)))
2.8s
(* (/ (/ (* (sqrt 2.0) (* (cbrt x) (cbrt x))) (cbrt (- y t))) (cbrt (- y t))) (/ (/ (sqrt 2.0) (/ z (cbrt x))) (cbrt (- y t))))
143.0ms
(/ (/ (sqrt 2.0) (/ z (cbrt x))) (cbrt (- y t)))

series1.2s

Counts
4 → 12
Calls
4 calls:
300.0ms
(cbrt x)
156.0ms
(/ (sqrt 2.0) (/ z (cbrt x)))
405.0ms
(* (/ (/ (* (sqrt 2.0) (* (cbrt x) (cbrt x))) (cbrt (- y t))) (cbrt (- y t))) (/ (/ (sqrt 2.0) (/ z (cbrt x))) (cbrt (- y t))))
358.0ms
(/ (/ (sqrt 2.0) (/ z (cbrt x))) (cbrt (- y t)))

simplify8.6s

Counts
2787 → 2787
Iterations
IterNodes
done5001
02609

prune42.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y t) x)
4.4b
(/ (/ 2.0 z) (/ (- y t) x))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
652×times-frac
370×add-sqr-sqrt *-un-lft-identity
278×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
36×div-inv
22×associate-/r*
18×associate-/l*
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
3×associate-/l/
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 343
Calls
2 calls:
77.0ms
(/ (- y t) x)
77.0ms
(/ (/ 2.0 z) (/ (- y t) x))

series257.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (- y t) x)
200.0ms
(/ (/ 2.0 z) (/ (- y t) x))

simplify3.8s

Counts
349 → 349
Iterations
IterNodes
done5000
11751
0547

prune4.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize66.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y t))
4.8b
(* (/ 2.0 z) (/ x (- y t)))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*r*
16×add-cbrt-cube add-exp-log
13×associate-*l*
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv associate-/r* div-exp
4×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l*
2×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 101
Calls
2 calls:
54.0ms
(/ x (- y t))
134.0ms
(* (/ 2.0 z) (/ x (- y t)))

series237.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ x (- y t))
150.0ms
(* (/ 2.0 z) (/ x (- y t)))

simplify3.9s

Counts
107 → 107
Iterations
IterNodes
done5001
21562
1431
0159

prune1.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.2s

Accuracy

40.5% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.2b

bsearch226.0ms

Steps
ItersRangePoint
10
1.3864776888564433e-93
6.490978557010539e-80
1.8116285421753165e-82
9
-8.485770276049662e-183
-1.3238806757025115e-188
-5.744943014796802e-186

simplify28.0ms

Iterations
IterNodes
done33
133
026

end0.0ms

sample1.3s

Algorithm
intervals
Results
731.0ms8685×body80valid