Details

Time bar (total: 34.1s)

sample154.0ms

Algorithm
intervals
Results
50.0ms256×body80valid
36.0ms270×body80nan

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 4 (347.0ms)

IterNodesCost
02833
15033
210832
338832
4192331
done500231

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ (/ 2.0 t) 3.0)
1.6b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
6.1b
(/ (* z (sqrt (+ t a))) t)

rewrite96.0ms

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)))
22.0ms
(/ (/ 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))
41.0ms
(/ (* z (sqrt (+ t a))) t)

series516.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* z (sqrt (+ t a)))
27.0ms
(/ (/ 2.0 t) 3.0)
276.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
116.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.7s

Counts
146 → 146
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03191876
17801756
233311636
done50021622

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.6b
(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)))

rewrite104.0ms

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))))
93.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.0s

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt t)
279.0ms
(cbrt t)
284.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
170.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify3.8s

Counts
137 → 137
Iterations

Useful iterations: done (3.8s)

IterNodesCost
02452460
17332317
247171868
done50001865

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
0.0b
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
0.2b
(* 0.6666666666666666 (- (/ b t) (/ c t)))
1.7b
(- (/ b t) (/ c t))

rewrite677.0ms

Algorithm
rewrite-expression-head
Rules
1667×times-frac
1320×add-sqr-sqrt
1310×*-un-lft-identity
1294×add-cube-cbrt
1185×prod-diff
684×associate--l+
513×distribute-rgt-in distribute-lft-in
345×unpow-prod-up
187×div-inv
14×fma-neg
12×associate-*r*
9×sub-neg
8×distribute-lft-out-- add-log-exp difference-of-squares
7×pow1
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u pow-pow associate-*r/ log1p-expm1-u
3×unpow-prod-down pow-unpow exp-prod flip3-- associate-*l* flip--
2×distribute-rgt-out-- diff-log frac-sub sub-div
1×pow-to-exp pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod pow-sub unswap-sqr sqr-pow
Counts
4 → 1308
Calls
4 calls:
129.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
131.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
153.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
44.0ms
(- (/ b t) (/ c t))

series350.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
139.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
74.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
58.0ms
(- (/ b t) (/ c t))

simplify3.4s

Counts
1320 → 1320
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0120155140
1378749116
done500242386

prune10.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.6666666666666666 (fma b (/ 1 t) (- (/ c t)))) (* 0.8333333333333334 b))
0.0b
(pow (exp 2.0) (- (* 0.6666666666666666 (fma b (/ 1 t) (- (/ c t)))) (* 0.8333333333333334 b)))
0.1b
(fma b (/ 1 t) (- (/ c t)))
0.2b
(* 0.6666666666666666 (fma b (/ 1 t) (- (/ c t))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×pow1 fma-udef
6×add-exp-log add-cbrt-cube add-log-exp
5×unpow-prod-up
4×expm1-log1p-u pow-pow associate--l+ log1p-expm1-u
3×distribute-rgt-in unpow-prod-down pow-unpow exp-prod distribute-lft-in associate-*r* associate-*l*
2×sub-neg prod-diff
1×pow-to-exp flip3-- fma-neg diff-log pow-prod-down pow-exp prod-exp *-commutative flip-- cbrt-unprod pow-sub unswap-sqr sqr-pow
Counts
4 → 78
Calls
4 calls:
18.0ms
(- (* 0.6666666666666666 (fma b (/ 1 t) (- (/ c t)))) (* 0.8333333333333334 b))
17.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (fma b (/ 1 t) (- (/ c t)))) (* 0.8333333333333334 b)))
1.0ms
(fma b (/ 1 t) (- (/ c t)))
15.0ms
(* 0.6666666666666666 (fma b (/ 1 t) (- (/ c t))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (* 0.6666666666666666 (fma b (/ 1 t) (- (/ c t)))) (* 0.8333333333333334 b))
132.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (fma b (/ 1 t) (- (/ c t)))) (* 0.8333333333333334 b)))
56.0ms
(fma b (/ 1 t) (- (/ c t)))
95.0ms
(* 0.6666666666666666 (fma b (/ 1 t) (- (/ c t))))

simplify1.1s

Counts
90 → 90
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01471682
13841590
214601325
done50001319

prune597.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes374.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02938
13238
done3238

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.2s8000×body80valid
1.5s7928×body80nan