Details

Time bar (total: 1.3m)

sample32.0ms

Algorithm
intervals
Results
20.0ms280×body80valid

simplify180.0ms

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 2.0 (/ z x))
5.4b
(/ (/ 2.0 (/ z x)) (- y t))

rewrite49.0ms

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:
10.0ms
(/ 2.0 (/ z x))
22.0ms
(/ (/ 2.0 (/ z x)) (- y t))

series86.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ 2.0 (/ z x))
68.0ms
(/ (/ 2.0 (/ z x)) (- y t))

simplify2.3s

Counts
370 → 370
Iterations
IterNodes
done5005
24290
11502
0570

prune1.9s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (/ x z))
5.4b
(/ (* 2.0 (/ x z)) (- y t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity add-cbrt-cube add-exp-log
15×times-frac
13×associate-*r*
12×add-cube-cbrt
5×cbrt-undiv associate-/r* div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l*
2×expm1-log1p-u associate-*r/ associate-/r/ insert-posit16 log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
1×clear-num frac-2neg flip3-- pow-prod-down *-commutative flip-- associate-/l* associate-/l/
Counts
2 → 68
Calls
2 calls:
9.0ms
(* 2.0 (/ x z))
16.0ms
(/ (* 2.0 (/ x z)) (- y t))

series82.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* 2.0 (/ x z))
50.0ms
(/ (* 2.0 (/ x z)) (- y t))

simplify2.6s

Counts
74 → 74
Iterations
IterNodes
done5001
34623
21071
1326
0129

prune409.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ 2.0 z) x)
5.4b
(/ (* (/ 2.0 z) x) (- y t))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity add-cbrt-cube add-exp-log
15×times-frac
13×associate-*l*
12×add-cube-cbrt
5×cbrt-undiv associate-/r* div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*r*
2×expm1-log1p-u associate-*l/ associate-/r/ insert-posit16 log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
1×clear-num frac-2neg flip3-- pow-prod-down *-commutative flip-- associate-/l* associate-/l/
Counts
2 → 68
Calls
2 calls:
10.0ms
(* (/ 2.0 z) x)
32.0ms
(/ (* (/ 2.0 z) x) (- y t))

series100.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (/ 2.0 z) x)
66.0ms
(/ (* (/ 2.0 z) x) (- y t))

simplify2.6s

Counts
74 → 74
Iterations
IterNodes
done5003
34568
2963
1313
0129

prune324.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 2.0 (/ (- y t) (/ x z)))
5.4b
(/ (- y t) (/ x z))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
769×times-frac
457×add-sqr-sqrt *-un-lft-identity
325×add-cube-cbrt
83×associate-/r*
66×distribute-lft-out-- difference-of-squares
32×div-inv
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r/
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 407
Calls
2 calls:
19.0ms
(/ 2.0 (/ (- y t) (/ x z)))
20.0ms
(/ (- y t) (/ x z))

series248.0ms

Counts
2 → 6
Calls
2 calls:
181.0ms
(/ 2.0 (/ (- y t) (/ x z)))
67.0ms
(/ (- y t) (/ x z))

simplify1.5s

Counts
413 → 413
Iterations
IterNodes
done5002
11786
0604

prune1.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes519.0ms

Accuracy

94.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify1.0m

Iterations
IterNodes
done5000
6674998
6664990
6654983
6644975
6634968
6624960
6614953
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6574923
6564915
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5594188
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1393
1285
1178
1070
963
853
752
649
548
445
342
236
133
026

end0.0ms

sample1.1s

Algorithm
intervals
Results
855.0ms8741×body80valid