Details

Time bar (total: 14.2s)

sample32.0ms

Algorithm
intervals
Results
13.0ms274×body80valid

simplify143.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ 2.0 (/ z x))
5.2b
(/ (/ 2.0 (/ z x)) (- y t))

rewrite60.0ms

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 log1p-expm1-u add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 362
Calls
2 calls:
7.0ms
(/ 2.0 (/ z x))
29.0ms
(/ (/ 2.0 (/ z x)) (- y t))

series87.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ 2.0 (/ z x))
69.0ms
(/ (/ 2.0 (/ z x)) (- y t))

simplify1.9s

Counts
368 → 368
Iterations
IterNodes
done5006
24133
11493
0568

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize112.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(/ (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))) (cbrt (- y t)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
19×cbrt-prod
15×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt
9×cbrt-undiv add-cbrt-cube div-exp
8×associate-/r* times-frac
4×expm1-log1p-u pow1 prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3 associate-/l/
2×cbrt-div associate-/r/ distribute-lft-out-- difference-of-squares
1×frac-times clear-num frac-2neg flip3-- associate-*l/ associate-*r/ div-inv flip-- associate-/l*
Counts
4 → 83
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
40.0ms
(/ (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))) (cbrt (- y t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt x)
281.0ms
(cbrt x)
272.0ms
(cbrt x)
242.0ms
(/ (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))) (cbrt (- y t)))

simplify2.3s

Counts
95 → 95
Iterations
IterNodes
done5004
34336
21062
1377
0156

prune584.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y t))
3.5b
(* (/ 2.0 z) (/ x (- y t)))

rewrite42.0ms

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-- log1p-expm1-u flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 99
Calls
2 calls:
9.0ms
(/ x (- y t))
29.0ms
(* (/ 2.0 z) (/ x (- y t)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (- y t))
59.0ms
(* (/ 2.0 z) (/ x (- y t)))

simplify1.5s

Counts
105 → 105
Iterations
IterNodes
done5001
21515
1429
0157

prune602.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (/ x (- y t)))
0.0b
(/ x (- y t))
3.4b
(/ (* 2.0 (/ x (- y t))) z)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube add-exp-log
8×associate-/r*
7×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp
5×pow1
4×prod-exp associate-/r/ cbrt-unprod associate-/l*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg flip3-- associate-*r/ flip-- unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 107
Calls
3 calls:
39.0ms
(* 2.0 (/ x (- y t)))
14.0ms
(/ x (- y t))
16.0ms
(/ (* 2.0 (/ x (- y t))) z)

series176.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* 2.0 (/ x (- y t)))
33.0ms
(/ x (- y t))
93.0ms
(/ (* 2.0 (/ x (- y t))) z)

simplify1.3s

Counts
116 → 116
Iterations
IterNodes
done5004
21258
1370
0154

prune589.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes330.0ms

Accuracy

38.2% (3.4b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 5.6b

bsearch88.0ms

Steps
ItersRangePoint
6
1.1243659295854038e-245
4.910579229175414e-245
3.2887742902305866e-245
4
-7.557294856603768e+88
-3.962670630750149e+88
-4.0563845529555984e+88

simplify5.0ms

Iterations
IterNodes
done28
128
020

end0.0ms

sample1.3s

Algorithm
intervals
Results
523.0ms8673×body80valid