Details

Time bar (total: 22.8s)

sample146.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
25.0ms256×body80nan

simplify1.4s

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.4b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
0.2b
(/ (/ 2.0 t) 3.0)
2.6b
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
5.2b
(* (sqrt (+ a t)) (/ z t))

rewrite225.0ms

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:
139.0ms
(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
12.0ms
(/ (/ 2.0 t) 3.0)
1.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
42.0ms
(* (sqrt (+ a t)) (/ z t))

series440.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
34.0ms
(/ (/ 2.0 t) 3.0)
275.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
88.0ms
(* (sqrt (+ a t)) (/ z t))

simplify816.0ms

Counts
301 → 301
Iterations
IterNodes
done5000
11886
0696

prune3.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize88.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.2b
(* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))
2.6b
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
19×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac add-cbrt-cube
15×cbrt-prod
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down associate-*l/
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×frac-times flip3-+ pow1/3 flip-+
1×associate-*l* associate-*r/ *-commutative fma-udef div-inv
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
125.0ms
(* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))
1.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t)))

series1.4s

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt z)
271.0ms
(cbrt z)
533.0ms
(* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))
306.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ (cbrt z) t)))

simplify2.3s

Counts
101 → 101
Iterations
IterNodes
done5000
23923
1645
0217

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* 2.0 (fma a c (* (- b) (+ a 0.8333333333333334)))))
0.0b
(/ x (fma y (exp (* 2.0 (fma a c (* (- b) (+ a 0.8333333333333334))))) x))
0.0b
(* (- b) (+ a 0.8333333333333334))
1.3b
(fma a c (* (- b) (+ a 0.8333333333333334)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
10×associate-*l*
9×times-frac
8×add-cbrt-cube add-exp-log
6×pow1 add-log-exp
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×distribute-lft-neg-in associate-/r* distribute-rgt-neg-in fma-udef associate-/l*
2×distribute-rgt-in distribute-lft-in exp-sum associate-*r/
1×distribute-lft-neg-out cbrt-undiv exp-prod clear-num neg-mul-1 frac-2neg flip3-+ exp-to-pow div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr rem-exp-log
Counts
4 → 86
Calls
4 calls:
8.0ms
(exp (* 2.0 (fma a c (* (- b) (+ a 0.8333333333333334)))))
4.0ms
(/ x (fma y (exp (* 2.0 (fma a c (* (- b) (+ a 0.8333333333333334))))) x))
21.0ms
(* (- b) (+ a 0.8333333333333334))
0.0ms
(fma a c (* (- b) (+ a 0.8333333333333334)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(exp (* 2.0 (fma a c (* (- b) (+ a 0.8333333333333334)))))
150.0ms
(/ x (fma y (exp (* 2.0 (fma a c (* (- b) (+ a 0.8333333333333334))))) x))
41.0ms
(* (- b) (+ a 0.8333333333333334))
48.0ms
(fma a c (* (- b) (+ a 0.8333333333333334)))

simplify873.0ms

Counts
98 → 98
Iterations
IterNodes
done5000
21699
1384
0157

prune736.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (pow (exp 2.0) (fma (- b) (+ a 0.8333333333333334) (* a c))) y x) x)
0.0b
(pow (exp 2.0) (fma (- b) (+ a 0.8333333333333334) (* a c)))
0.0b
(/ 1 (/ (fma (pow (exp 2.0) (fma (- b) (+ a 0.8333333333333334) (* a c))) y x) x))
1.0b
(fma (- b) (+ a 0.8333333333333334) (* a c))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
57×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×pow1 div-inv associate-/l*
4×expm1-log1p-u cbrt-undiv pow-pow log1p-expm1-u add-log-exp
3×pow-unpow exp-prod unpow-prod-down
2×rec-exp clear-num frac-2neg 1-exp fma-udef
1×pow-to-exp unpow-prod-up pow-exp associate-/r/ pow-flip inv-pow sqr-pow
Counts
4 → 140
Calls
4 calls:
8.0ms
(/ (fma (pow (exp 2.0) (fma (- b) (+ a 0.8333333333333334) (* a c))) y x) x)
8.0ms
(pow (exp 2.0) (fma (- b) (+ a 0.8333333333333334) (* a c)))
16.0ms
(/ 1 (/ (fma (pow (exp 2.0) (fma (- b) (+ a 0.8333333333333334) (* a c))) y x) x))
1.0ms
(fma (- b) (+ a 0.8333333333333334) (* a c))

series827.0ms

Counts
4 → 12
Calls
4 calls:
276.0ms
(/ (fma (pow (exp 2.0) (fma (- b) (+ a 0.8333333333333334) (* a c))) y x) x)
91.0ms
(pow (exp 2.0) (fma (- b) (+ a 0.8333333333333334) (* a c)))
393.0ms
(/ 1 (/ (fma (pow (exp 2.0) (fma (- b) (+ a 0.8333333333333334) (* a c))) y x) x))
66.0ms
(fma (- b) (+ a 0.8333333333333334) (* a c))

simplify1.5s

Counts
152 → 152
Iterations
IterNodes
done5000
22446
1573
0232

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes700.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 1.7b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done34
134
029

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.3s8000×body80valid
1.6s7927×body80nan