Details

Time bar (total: 34.4s)

sample115.0ms

Algorithm
intervals
Results
48.0ms256×body80valid
25.0ms292×body80nan

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (562.0ms)

IterNodesCost
028721
150721
2102696
3365696
41440671
done5003671

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.8b
(fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (* z (sqrt (+ t a))) t))
7.3b
(/ (* z (sqrt (+ t a))) t)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
7×associate-*r*
6×pow1 times-frac
5×sqrt-prod
4×expm1-log1p-u cbrt-undiv associate-/r* sqrt-div div-exp associate-*r/ log1p-expm1-u associate-/l* add-log-exp
3×associate-*l* prod-exp cbrt-unprod
2×clear-num frac-2neg flip3-+ flip-+ div-inv unswap-sqr associate-/l/
1×pow-prod-down *-commutative fma-udef distribute-lft-out
Counts
4 → 85
Calls
4 calls:
23.0ms
(* z (sqrt (+ t a)))
6.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (* z (sqrt (+ t a))) t))
12.0ms
(/ (* z (sqrt (+ t a))) t)

series393.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* z (sqrt (+ t a)))
23.0ms
(/ 2.0 (* t 3.0))
193.0ms
(fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (* z (sqrt (+ t a))) t))
107.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.5s

Counts
97 → 97
Iterations

Useful iterations: done (1.5s)

IterNodesCost
022225191
153622148
2169321633
done500321278

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize107.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.8b
(fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
3.2b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite89.0ms

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 pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef
Counts
4 → 125
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
77.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.4s

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt t)
645.0ms
(cbrt t)
321.0ms
(fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
178.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify3.0s

Counts
137 → 137
Iterations

Useful iterations: done (3.0s)

IterNodesCost
024656561
172851753
2271950837
done500245042

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(* b (+ a 0.8333333333333334))
1.5b
(- (* a c) (* b (+ a 0.8333333333333334)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×distribute-rgt-in expm1-log1p-u distribute-lft-in associate-*r/ log1p-expm1-u associate--r+
1×sub-neg flip3-+ flip3-- fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
32.0ms
(* b (+ a 0.8333333333333334))
14.0ms
(- (* a c) (* b (+ a 0.8333333333333334)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* b (+ a 0.8333333333333334))
49.0ms
(- (* a c) (* b (+ a 0.8333333333333334)))

simplify3.5s

Counts
49 → 49
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
0809606
12418492
28198317
343998277
done50008277

prune397.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y (exp (* 2.0 (fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x)
0.0b
(/ x (fma y (exp (* 2.0 (fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x))
0.2b
(* 0.6666666666666666 (- (/ b t) (/ c t)))
1.4b
(- (/ b t) (/ c t))

rewrite354.0ms

Algorithm
rewrite-expression-head
Rules
740×times-frac
597×add-sqr-sqrt
587×*-un-lft-identity
571×add-cube-cbrt
507×prod-diff
171×distribute-rgt-in distribute-lft-in
84×div-inv
13×fma-neg
12×associate-*r*
8×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
6×pow1 add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×associate-/r* sub-neg associate-*l* associate-/l*
2×flip3-- distribute-rgt-out-- frac-sub flip-- sub-div
1×cbrt-undiv clear-num frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 621
Calls
4 calls:
1.0ms
(fma y (exp (* 2.0 (fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x)
8.0ms
(/ x (fma y (exp (* 2.0 (fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x))
201.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
56.0ms
(- (/ b t) (/ c t))

series460.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(fma y (exp (* 2.0 (fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x)
200.0ms
(/ x (fma y (exp (* 2.0 (fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t)))))) x))
81.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
32.0ms
(- (/ b t) (/ c t))

simplify7.3s

Counts
633 → 633
Iterations

Useful iterations: done (7.0s)

IterNodesCost
0795432106
11406389213
23418336892
done5000289021

prune4.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes730.0ms

Accuracy

0% (1.3b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify17.0ms

Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
029831
134831
done34831

end0.0ms

sample4.8s

Algorithm
intervals
Results
2.0s7918×body80nan
1.8s8000×body80valid