Details

Time bar (total: 29.9s)

sample106.0ms

Algorithm
intervals
Results
38.0ms256×body80valid
23.0ms269×body80nan

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 4 (367.0ms)

IterNodesCost
02833
15033
210832
338832
4192331
done500231

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ (/ 2.0 t) 3.0)
1.3b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
6.8b
(/ (* z (sqrt (+ t a))) t)

rewrite95.0ms

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:
28.0ms
(* z (sqrt (+ t a)))
37.0ms
(/ (/ 2.0 t) 3.0)
1.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
24.0ms
(/ (* z (sqrt (+ t a))) t)

series508.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* z (sqrt (+ t a)))
22.0ms
(/ (/ 2.0 t) 3.0)
252.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
148.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.8s

Counts
146 → 146
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03191876
17801756
233311636
done50021622

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.3b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
2.2b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite133.0ms

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:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
1.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
113.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.0s

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt t)
281.0ms
(cbrt t)
307.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
164.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify3.3s

Counts
137 → 137
Iterations

Useful iterations: done (3.3s)

IterNodesCost
02452460
17332317
247171868
done50001865

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 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))
0.0b
(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
1.4b
(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
17×add-cube-cbrt
9×times-frac
8×add-exp-log add-cbrt-cube
7×pow1
6×add-log-exp
5×unpow-prod-up
4×expm1-log1p-u pow-pow associate-*r* associate--l+ log1p-expm1-u
3×distribute-rgt-in unpow-prod-down pow-unpow exp-prod distribute-lft-in associate-*l* associate-/r* associate-/l*
2×sub-neg associate-*r/ prod-diff
1×cbrt-undiv pow-to-exp flip3-- frac-2neg flip3-+ fma-neg diff-log div-exp pow-prod-down pow-exp prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ div-inv distribute-lft-out pow-sub unswap-sqr sqr-pow
Counts
4 → 100
Calls
4 calls:
22.0ms
(* c (+ a 0.8333333333333334))
11.0ms
(/ x (fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x))
34.0ms
(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
32.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

series424.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* c (+ a 0.8333333333333334))
229.0ms
(/ x (fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x))
85.0ms
(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
63.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

simplify1.2s

Counts
112 → 112
Iterations

Useful iterations: 2 (380.0ms)

IterNodesCost
01831793
14581713
217741602
done50021602

prune616.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
0.0b
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
0.2b
(* 0.6666666666666666 (- (/ b t) (/ c t)))
0.9b
(- (/ b t) (/ c t))

rewrite594.0ms

Algorithm
rewrite-expression-head
Rules
1208×times-frac
961×add-sqr-sqrt
951×*-un-lft-identity
935×add-cube-cbrt
846×prod-diff
342×distribute-rgt-in distribute-lft-in associate--l+
136×div-inv
14×fma-neg
12×associate-*r*
8×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
6×pow1 sub-neg
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×flip3-- associate-*l* associate-/r* flip-- associate-/l*
2×distribute-rgt-out-- diff-log frac-sub sub-div
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
4 → 969
Calls
4 calls:
6.0ms
(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
164.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
185.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
78.0ms
(- (/ b t) (/ c t))

series433.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
59.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
80.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
40.0ms
(- (/ b t) (/ c t))

simplify1.9s

Counts
981 → 981
Iterations

Useful iterations: done (1.9s)

IterNodesCost
082935625
1183431558
done500024736

prune7.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes366.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02938
13238
done3238

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.8s8000×body80valid
1.8s7948×body80nan