Details

Time bar (total: 27.5s)

sample134.0ms

Algorithm
intervals
Results
50.0ms256×body80valid
26.0ms228×body80nan

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 4 (448.0ms)

IterNodesCost
02833
15033
210832
338832
4192331
done500231

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize61.0ms

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))
2.3b
(/ (* z (sqrt (+ t a))) t)

rewrite122.0ms

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:
47.0ms
(* z (sqrt (+ t a)))
35.0ms
(/ (/ 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))
30.0ms
(/ (* z (sqrt (+ t a))) t)

series560.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* z (sqrt (+ t a)))
32.0ms
(/ (/ 2.0 t) 3.0)
308.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
127.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.0s

Counts
146 → 146
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03191876
17801756
233311636
done50021622

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 2.0 t) 3.0)
0.3b
(/ t (sqrt (+ t a)))
0.5b
(/ z (/ t (sqrt (+ t a))))
1.6b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ z (/ t (sqrt (+ t a)))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
261×times-frac
178×*-un-lft-identity
146×add-sqr-sqrt add-cube-cbrt
64×sqrt-prod
37×associate-/r*
19×associate-/l*
16×add-exp-log add-cbrt-cube distribute-lft-out
11×associate-/r/ div-inv
10×sqrt-div
7×cbrt-undiv div-exp
5×flip3-+ flip-+
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×fma-udef associate-/l/
Counts
4 → 257
Calls
4 calls:
22.0ms
(/ (/ 2.0 t) 3.0)
26.0ms
(/ t (sqrt (+ t a)))
50.0ms
(/ z (/ t (sqrt (+ t a))))
1.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ z (/ t (sqrt (+ t a)))))

series573.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (/ 2.0 t) 3.0)
137.0ms
(/ t (sqrt (+ t a)))
113.0ms
(/ z (/ t (sqrt (+ t a))))
292.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ z (/ t (sqrt (+ t a)))))

simplify665.0ms

Counts
269 → 269
Iterations

Useful iterations: done (649.0ms)

IterNodesCost
04694188
112153841
done50013672

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x)
0.0b
(* c (+ a 0.8333333333333334))
0.0b
(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
0.9b
(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt
7×pow1
6×add-exp-log add-cbrt-cube 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*
2×sub-neg associate-*r/ prod-diff
1×pow-to-exp flip3-- flip3-+ fma-neg diff-log pow-prod-down pow-exp prod-exp *-commutative flip-- cbrt-unprod flip-+ fma-udef distribute-lft-out pow-sub unswap-sqr sqr-pow
Counts
4 → 81
Calls
4 calls:
0.0ms
(fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x)
28.0ms
(* c (+ a 0.8333333333333334))
25.0ms
(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
23.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

series401.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x)
36.0ms
(* c (+ a 0.8333333333333334))
85.0ms
(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
53.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

simplify991.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (240.0ms)

IterNodesCost
01501244
14031167
216001093
done50021093

prune391.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

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)))
0.5b
(- (/ b t) (/ c t))

rewrite573.0ms

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:
106.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
128.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
123.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
57.0ms
(- (/ b t) (/ c t))

series253.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
116.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
47.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
36.0ms
(- (/ b t) (/ c t))

simplify3.3s

Counts
1320 → 1320
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0120155140
1378749116
done500242386

prune8.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes281.0ms

Accuracy

0% (2.0b remaining)

Error of 2.2b against oracle of 0.2b and baseline of 2.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02631
12831
done2831

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.8s8000×body80valid
1.0s7890×body80nan