Details

Time bar (total: 22.7s)

sample133.0ms

Algorithm
intervals
Results
38.0ms278×body80nan
37.0ms256×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5003
41440
3365
2102
150
028

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
0.3b
(/ (/ 2.0 t) 3.0)
1.1b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
3.9b
(/ (sqrt (+ a t)) (/ t z))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
548×times-frac
469×add-sqr-sqrt
406×*-un-lft-identity
347×add-cube-cbrt
220×prod-diff
131×associate--r+
56×sqrt-prod
41×difference-of-squares
34×div-inv
20×associate-/l*
16×associate-/r* distribute-lft-out--
14×add-cbrt-cube add-exp-log distribute-lft-out
13×fma-neg
9×add-log-exp
6×cbrt-undiv div-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×diff-log associate-/l/
2×clear-num sub-neg frac-2neg flip3-- sqrt-div frac-sub flip--
1×flip3-+ associate-/r/ flip-+ fma-udef associate--r-
Counts
4 → 469
Calls
4 calls:
127.0ms
(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
10.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
31.0ms
(/ (sqrt (+ a t)) (/ t z))

series307.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
30.0ms
(/ (/ 2.0 t) 3.0)
183.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
68.0ms
(/ (sqrt (+ a t)) (/ t z))

simplify2.9s

Counts
481 → 481
Iterations
IterNodes
done5000
24843
12147
0870

prune6.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x))
0.0b
(* b (+ 0.8333333333333334 a))
0.0b
(exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a)))))
1.4b
(- (* a c) (* b (+ 0.8333333333333334 a)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-exp-log add-log-exp
6×pow1 exp-sum
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×associate-/r* sub-neg associate-*l* prod-diff associate-/l*
2×associate-*r/ associate--r+
1×cbrt-undiv exp-prod clear-num frac-2neg flip3-+ flip3-- exp-to-pow fma-neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ div-inv flip-- distribute-lft-out unswap-sqr rem-exp-log
Counts
4 → 90
Calls
4 calls:
4.0ms
(/ x (fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x))
15.0ms
(* b (+ 0.8333333333333334 a))
12.0ms
(exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a)))))
7.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))

series301.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(/ x (fma y (exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a))))) x))
43.0ms
(* b (+ 0.8333333333333334 a))
59.0ms
(exp (* 2.0 (- (* a c) (* b (+ 0.8333333333333334 a)))))
49.0ms
(- (* a c) (* b (+ 0.8333333333333334 a)))

simplify1.2s

Counts
102 → 102
Iterations
IterNodes
done5001
21223
1392
0167

prune834.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (fma y (exp (* 2.0 (fma a c (- (* b (+ 0.8333333333333334 a)))))) x))
0.0b
(* b (+ 0.8333333333333334 a))
0.0b
(exp (* 2.0 (fma a c (- (* b (+ 0.8333333333333334 a))))))
0.5b
(fma a c (- (* b (+ 0.8333333333333334 a))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-exp-log
6×pow1 add-log-exp
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×associate-/r* associate-*l* fma-udef associate-/l*
2×distribute-rgt-in distribute-lft-in exp-sum associate-*r/
1×cbrt-undiv exp-prod clear-num frac-2neg flip3-+ exp-to-pow div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr rem-exp-log
Counts
4 → 78
Calls
4 calls:
7.0ms
(/ x (fma y (exp (* 2.0 (fma a c (- (* b (+ 0.8333333333333334 a)))))) x))
30.0ms
(* b (+ 0.8333333333333334 a))
6.0ms
(exp (* 2.0 (fma a c (- (* b (+ 0.8333333333333334 a))))))
1.0ms
(fma a c (- (* b (+ 0.8333333333333334 a))))

series349.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(/ x (fma y (exp (* 2.0 (fma a c (- (* b (+ 0.8333333333333334 a)))))) x))
55.0ms
(* b (+ 0.8333333333333334 a))
59.0ms
(exp (* 2.0 (fma a c (- (* b (+ 0.8333333333333334 a))))))
54.0ms
(fma a c (- (* b (+ 0.8333333333333334 a))))

simplify2.7s

Counts
90 → 90
Iterations
IterNodes
done5000
34157
2998
1315
0143

prune796.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes607.0ms

Accuracy

0% (1.2b remaining)

Error of 1.9b against oracle of 0.7b and baseline of 1.9b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done28
128
026

end0.0ms

sample4.6s

Algorithm
intervals
Results
2.1s8000×body80valid
1.4s7926×body80nan