Details

Time bar (total: 17.0s)

sample106.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
25.0ms249×body80nan

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done5002
41923
3388
2108
150
028

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
0.3b
(/ (/ 2.0 t) 3.0)
0.6b
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
4.9b
(* (sqrt (+ a t)) (/ z t))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
293×times-frac
220×add-sqr-sqrt
217×*-un-lft-identity
210×add-cube-cbrt
131×associate-+r+
129×prod-diff
19×div-inv
14×add-cbrt-cube add-exp-log
13×fma-def associate-*r* associate-/l*
9×add-log-exp
7×associate-*l*
6×pow1 sqrt-prod
4×expm1-log1p-u cbrt-undiv sqrt-div div-exp log1p-expm1-u unswap-sqr
3×associate-/r* flip3-+ flip-+ distribute-lft-out
2×frac-times sum-log associate-*l/ frac-add prod-exp cbrt-unprod
1×+-commutative clear-num associate-+r- sub-neg frac-2neg flip3-- diff-log pow-prod-down associate-*r/ *-commutative fma-udef flip-- distribute-lft-out-- associate-/l/
Counts
4 → 289
Calls
4 calls:
80.0ms
(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
15.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
26.0ms
(* (sqrt (+ a t)) (/ z t))

series291.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
19.0ms
(/ (/ 2.0 t) 3.0)
177.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
69.0ms
(* (sqrt (+ a t)) (/ z t))

simplify799.0ms

Counts
301 → 301
Iterations
IterNodes
done5000
11886
0696

prune3.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.8b
(* (sqrt (+ t a)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
16×add-sqr-sqrt
14×add-cbrt-cube
12×*-un-lft-identity
10×add-cube-cbrt
9×cbrt-prod prod-exp cbrt-unprod
7×associate-*l*
6×pow1 sqrt-prod
5×associate-*r*
4×expm1-log1p-u cbrt-undiv sqrt-div div-exp log1p-expm1-u add-log-exp unswap-sqr
3×times-frac pow1/3
2×frac-times flip3-+ associate-*l/ flip-+
1×pow-prod-down associate-*r/ *-commutative div-inv distribute-lft-out
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
73.0ms
(* (sqrt (+ t a)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series1.0s

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt t)
247.0ms
(cbrt t)
294.0ms
(cbrt t)
227.0ms
(* (sqrt (+ t a)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify1.2s

Counts
93 → 93
Iterations
IterNodes
done5000
22377
1510
0176

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c 0.8333333333333334) (* 0.6666666666666666 (/ c t)))
0.0b
(exp (* 2.0 (fma (/ b t) 0.6666666666666666 (- (* c 0.8333333333333334) (* 0.6666666666666666 (/ c t))))))
0.2b
(* 0.6666666666666666 (/ c t))
1.9b
(fma (/ b t) 0.6666666666666666 (- (* c 0.8333333333333334) (* 0.6666666666666666 (/ c t))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity add-cube-cbrt
10×times-frac
9×add-cbrt-cube add-exp-log
8×add-log-exp
6×pow1
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* fma-udef
2×exp-sum prod-exp cbrt-unprod unswap-sqr
1×distribute-rgt-in cbrt-undiv exp-prod sub-neg distribute-lft-in flip3-- exp-to-pow fma-neg diff-log div-exp prod-diff pow-prod-down associate-*r/ *-commutative div-inv flip-- rem-exp-log
Counts
4 → 74
Calls
4 calls:
7.0ms
(- (* c 0.8333333333333334) (* 0.6666666666666666 (/ c t)))
4.0ms
(exp (* 2.0 (fma (/ b t) 0.6666666666666666 (- (* c 0.8333333333333334) (* 0.6666666666666666 (/ c t))))))
23.0ms
(* 0.6666666666666666 (/ c t))
1.0ms
(fma (/ b t) 0.6666666666666666 (- (* c 0.8333333333333334) (* 0.6666666666666666 (/ c t))))

series294.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (* c 0.8333333333333334) (* 0.6666666666666666 (/ c t)))
121.0ms
(exp (* 2.0 (fma (/ b t) 0.6666666666666666 (- (* c 0.8333333333333334) (* 0.6666666666666666 (/ c t))))))
35.0ms
(* 0.6666666666666666 (/ c t))
51.0ms
(fma (/ b t) 0.6666666666666666 (- (* c 0.8333333333333334) (* 0.6666666666666666 (/ c t))))

simplify904.0ms

Counts
86 → 86
Iterations
IterNodes
done5001
21789
1428
0171

prune673.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes665.0ms

Accuracy

0% (1.0b remaining)

Error of 1.4b against oracle of 0.4b and baseline of 1.4b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done37
137
032

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.9s8000×body80valid
1.7s8055×body80nan