Details

Time bar (total: 18.6s)

sample141.0ms

Algorithm
intervals
Results
55.0ms256×body80valid
27.0ms241×body80nan

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 4 (381.0ms)

IterNodesCost
02833
15033
210832
338832
4192331
done500231

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ (/ 2.0 t) 3.0)
1.1b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
6.9b
(/ (* z (sqrt (+ t a))) t)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×add-sqr-sqrt
53×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
7×associate-*r*
6×pow1 associate-/r* div-inv
5×cbrt-undiv div-exp sqrt-prod
4×expm1-log1p-u sqrt-div associate-*r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l/
2×frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ unswap-sqr
1×pow-prod-down *-commutative fma-udef distribute-lft-out
Counts
4 → 134
Calls
4 calls:
27.0ms
(* z (sqrt (+ t a)))
32.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
16.0ms
(/ (* z (sqrt (+ t a))) t)

series511.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* z (sqrt (+ t a)))
21.0ms
(/ (/ 2.0 t) 3.0)
300.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
94.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.6s

Counts
146 → 146
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03191876
17801756
233311636
done50021622

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.1b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
1.8b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×times-frac
47×*-un-lft-identity
46×associate-*r*
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
25×add-exp-log
18×add-cbrt-cube
10×unswap-sqr
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 125
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
111.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
312.0ms
(cbrt t)
301.0ms
(cbrt t)
298.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
145.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify3.6s

Counts
137 → 137
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02452460
17332317
247171868
done50001865

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(* c (+ a 0.8333333333333334))
0.0b
(/ x (fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x))
1.7b
(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
13×add-cube-cbrt
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×associate-*r*
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l*
2×distribute-rgt-in distribute-lft-in associate-*r/ associate--l+
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ fma-neg diff-log div-exp prod-diff pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr
Counts
3 → 72
Calls
3 calls:
35.0ms
(* c (+ a 0.8333333333333334))
5.0ms
(/ x (fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x))
15.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

series335.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* c (+ a 0.8333333333333334))
219.0ms
(/ x (fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x))
76.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

simplify878.0ms

Counts
81 → 81
Iterations

Useful iterations: done (874.0ms)

IterNodesCost
01351282
13251237
211501140
done50001083

prune439.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes369.0ms

Accuracy

0% (1.1b remaining)

Error of 1.5b against oracle of 0.3b and baseline of 1.5b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02938
13238
done3238

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.1s8000×body80valid
2.0s7969×body80nan