Details

Time bar (total: 34.0s)

sample130.0ms

Algorithm
intervals
Results
36.0ms256×body80valid
34.0ms265×body80nan

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5003
41440
3365
2102
150
028

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
0.3b
(/ (/ 2.0 t) 3.0)
2.3b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
5.8b
(/ (sqrt (+ a t)) (/ t z))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
548×times-frac
469×add-sqr-sqrt
406×*-un-lft-identity
347×add-cube-cbrt
220×prod-diff
131×associate--r+
56×sqrt-prod
41×difference-of-squares
34×div-inv
20×associate-/l*
16×associate-/r* distribute-lft-out--
14×add-cbrt-cube add-exp-log distribute-lft-out
13×fma-neg
9×add-log-exp
6×cbrt-undiv div-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×diff-log associate-/l/
2×clear-num sub-neg frac-2neg flip3-- sqrt-div frac-sub flip--
1×flip3-+ associate-/r/ flip-+ fma-udef associate--r-
Counts
4 → 469
Calls
4 calls:
146.0ms
(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
17.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
34.0ms
(/ (sqrt (+ a t)) (/ t z))

series421.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
33.0ms
(/ (/ 2.0 t) 3.0)
247.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
100.0ms
(/ (sqrt (+ a t)) (/ t z))

simplify3.0s

Counts
481 → 481
Iterations
IterNodes
done5000
24843
12147
0870

prune6.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize94.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
1.0b
(* (* (cbrt z) (cbrt z)) (/ (sqrt (+ a t)) (/ t (cbrt z))))
2.3b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (* (cbrt z) (cbrt z)) (/ (sqrt (+ a t)) (/ t (cbrt z)))))
3.2b
(/ (sqrt (+ a t)) (/ t (cbrt z)))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
588×times-frac
381×*-un-lft-identity
308×add-sqr-sqrt
291×add-cube-cbrt
183×sqrt-prod
159×associate-*r*
140×cbrt-prod
45×distribute-lft-out
30×add-exp-log
22×associate-/r*
21×add-cbrt-cube
17×div-inv
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-/l* unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×sqrt-div associate-/r/ associate-/l/
1×clear-num frac-2neg flip3-+ pow1/3 associate-*l* associate-*r/ *-commutative flip-+ fma-udef
Counts
4 → 417
Calls
4 calls:
1.0ms
(cbrt z)
165.0ms
(* (* (cbrt z) (cbrt z)) (/ (sqrt (+ a t)) (/ t (cbrt z))))
0.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (* (cbrt z) (cbrt z)) (/ (sqrt (+ a t)) (/ t (cbrt z)))))
40.0ms
(/ (sqrt (+ a t)) (/ t (cbrt z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
302.0ms
(cbrt z)
156.0ms
(* (* (cbrt z) (cbrt z)) (/ (sqrt (+ a t)) (/ t (cbrt z))))
331.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (* (cbrt z) (cbrt z)) (/ (sqrt (+ a t)) (/ t (cbrt z)))))
336.0ms
(/ (sqrt (+ a t)) (/ t (cbrt z)))

simplify2.5s

Counts
429 → 429
Iterations
IterNodes
done5001
11869
0561

prune4.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
13.7b
(log (exp (cbrt z)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×log-pow
6×exp-prod
5×pow1
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×log-prod pow1/3
1×rem-log-exp
Counts
4 → 59
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
3.0ms
(log (exp (cbrt z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
316.0ms
(cbrt z)
279.0ms
(cbrt z)
310.0ms
(cbrt z)
298.0ms
(log (exp (cbrt z)))

simplify2.3s

Counts
71 → 71
Iterations
IterNodes
done5001
51838
4621
3243
2139
183
055

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* 2.0 (- (fma 0.6666666666666666 (/ b t) (* c 0.8333333333333334)) (/ (* c 0.6666666666666666) t))))
0.1b
(fma 0.6666666666666666 (/ b t) (* c 0.8333333333333334))
0.2b
(/ (* c 0.6666666666666666) t)
1.4b
(- (fma 0.6666666666666666 (/ b t) (* c 0.8333333333333334)) (/ (* c 0.6666666666666666) t))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
63×prod-diff
48×add-sqr-sqrt *-un-lft-identity exp-sum
46×add-cube-cbrt
30×times-frac
24×distribute-rgt-in distribute-lft-in
10×div-inv
9×add-cbrt-cube add-exp-log
8×add-log-exp
4×expm1-log1p-u pow1 fma-udef log1p-expm1-u
3×associate-/r* sub-neg fma-neg associate--l+
2×cbrt-undiv div-exp
1×exp-prod clear-num frac-2neg flip3-- exp-to-pow diff-log prod-exp cbrt-unprod flip-- associate-/l* distribute-lft-out-- difference-of-squares rem-exp-log
Counts
4 → 134
Calls
4 calls:
12.0ms
(exp (* 2.0 (- (fma 0.6666666666666666 (/ b t) (* c 0.8333333333333334)) (/ (* c 0.6666666666666666) t))))
0.0ms
(fma 0.6666666666666666 (/ b t) (* c 0.8333333333333334))
8.0ms
(/ (* c 0.6666666666666666) t)
14.0ms
(- (fma 0.6666666666666666 (/ b t) (* c 0.8333333333333334)) (/ (* c 0.6666666666666666) t))

series288.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(exp (* 2.0 (- (fma 0.6666666666666666 (/ b t) (* c 0.8333333333333334)) (/ (* c 0.6666666666666666) t))))
44.0ms
(fma 0.6666666666666666 (/ b t) (* c 0.8333333333333334))
43.0ms
(/ (* c 0.6666666666666666) t)
68.0ms
(- (fma 0.6666666666666666 (/ b t) (* c 0.8333333333333334)) (/ (* c 0.6666666666666666) t))

simplify1.7s

Counts
146 → 146
Iterations
IterNodes
done5001
21907
1703
0315

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes971.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done32
132
029

end0.0ms

sample4.8s

Algorithm
intervals
Results
2.0s8000×body80valid
1.8s8055×body80nan