Details

Time bar (total: 18.4s)

sample21.0ms

Algorithm
intervals
Results
8.0ms246×body80valid
0.0ms5×body640valid
0.0ms2×body2560valid
0.0ms2×body1280valid
0.0ms1×body160valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×expm1-log1p-u pow1 +-commutative sum-log flip3-+ add-cbrt-cube add-exp-log flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
9.0ms
(+ x (/ (fabs (- y x)) 2.0))

series32.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify4.3s

Counts
20 → 20
Iterations
IterNodes
done5000
54285
41480
3560
2232
189
033

prune137.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(* (cbrt x) (cbrt x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
18.0ms
(* (cbrt x) (cbrt x))

series1.3s

Counts
4 → 12
Calls
4 calls:
317.0ms
(cbrt x)
325.0ms
(cbrt x)
282.0ms
(cbrt x)
358.0ms
(* (cbrt x) (cbrt x))

simplify2.9s

Counts
93 → 93
Iterations
IterNodes
done5005
43602
31037
2379
1140
065

prune522.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt x))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
38×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
18×pow1
14×pow1/3
12×swap-sqr associate-*r* associate-*l*
8×add-exp-log unswap-sqr
4×expm1-log1p-u add-cbrt-cube pow-prod-down pow-sqr pow-prod-up log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
10.0ms
(* (cbrt x) (cbrt x))
15.0ms
(* (cbrt x) (cbrt x))
9.0ms
(cbrt (* (cbrt x) (cbrt x)))
1.0ms
(cbrt (cbrt x))

series1.3s

Counts
4 → 12
Calls
4 calls:
301.0ms
(* (cbrt x) (cbrt x))
265.0ms
(* (cbrt x) (cbrt x))
384.0ms
(cbrt (* (cbrt x) (cbrt x)))
334.0ms
(cbrt (cbrt x))

simplify1.9s

Counts
123 → 123
Iterations
IterNodes
done5002
42457
3925
2396
1178
090

prune688.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize120.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series1.5s

Counts
4 → 12
Calls
4 calls:
346.0ms
(cbrt (cbrt x))
384.0ms
(cbrt (cbrt x))
400.0ms
(cbrt (cbrt x))
349.0ms
(cbrt (cbrt x))

simplify2.2s

Counts
76 → 76
Iterations
IterNodes
done5001
52030
4517
3210
2103
157
036

prune586.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes267.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample605.0ms

Algorithm
intervals
Results
330.0ms7704×body80valid
39.0ms73×body640valid
33.0ms104×body1280valid
10.0ms52×body2560valid
3.0ms33×body320valid
3.0ms35×body160valid