Details

Time bar (total: 16.4s)

sample45.0ms

Algorithm
intervals
Results
19.0ms116×body1280valid
8.0ms87×body640valid
4.0ms385×pre80true
2.0ms136×body80valid
2.0ms30×body320valid
1.0ms16×body160valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done7
27
16
04

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize5.0ms

Local error

Found 1 expressions with local error:

5.1b
(- (exp x) 1.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×prod-diff
8×add-cube-cbrt
3×fma-neg add-log-exp
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 28
Calls
1 calls:
10.0ms
(- (exp x) 1.0)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(- (exp x) 1.0)

simplify2.4s

Counts
31 → 31
Iterations
IterNodes
done5001
42205
3858
2311
1149
066

prune122.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x 1/6 1/2)
0.0b
(* x (fma x 1/6 1/2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
0.0ms
(fma x 1/6 1/2)
6.0ms
(* x (fma x 1/6 1/2))

series133.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(fma x 1/6 1/2)
89.0ms
(* x (fma x 1/6 1/2))

simplify2.5s

Counts
38 → 38
Iterations
IterNodes
done5005
31482
2259
1101
048

prune177.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0))
0.0b
(+ 1.0 (exp x))
0.5b
(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0)))
5.3b
(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt
9×times-frac
8×add-log-exp
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 log1p-expm1-u
3×associate-/r* fma-def fma-neg prod-diff associate-/l*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-+ diff-log div-sub div-exp flip-+ fma-udef div-inv distribute-lft-out
Counts
4 → 79
Calls
4 calls:
0.0ms
(fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0))
6.0ms
(+ 1.0 (exp x))
32.0ms
(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0)))
12.0ms
(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0))
14.0ms
(+ 1.0 (exp x))
113.0ms
(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0)))
23.0ms
(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

simplify2.8s

Counts
91 → 91
Iterations
IterNodes
done5000
34352
21138
1373
0148

prune607.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma x 6 (* 3 x))
0.4b
(/ (- (exp (fma x 6 (* 3 x))) (* 1.0 (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 1.0 1.0) (* 1.0 1.0))))) (fma (exp (* 3 x)) (exp (* 3 x)) (* (fma 1.0 (* 1.0 1.0) (exp (* 3 x))) (* (* 1.0 1.0) 1.0))))
0.5b
(/ (/ (- (exp (fma x 6 (* 3 x))) (* 1.0 (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 1.0 1.0) (* 1.0 1.0))))) (fma (exp (* 3 x)) (exp (* 3 x)) (* (fma 1.0 (* 1.0 1.0) (exp (* 3 x))) (* (* 1.0 1.0) 1.0)))) (fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0)))
5.2b
(- (exp (fma x 6 (* 3 x))) (* 1.0 (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 1.0 1.0) (* 1.0 1.0)))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
56×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/l*
11×add-cbrt-cube add-exp-log
6×associate-/r* div-inv add-log-exp
4×expm1-log1p-u pow1 cbrt-undiv fma-neg div-exp prod-diff log1p-expm1-u
3×div-sub fma-udef associate-/l/
2×clear-num frac-2neg flip3-- exp-sum flip--
1×sub-neg diff-log
Counts
4 → 137
Calls
4 calls:
0.0ms
(fma x 6 (* 3 x))
30.0ms
(/ (- (exp (fma x 6 (* 3 x))) (* 1.0 (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 1.0 1.0) (* 1.0 1.0))))) (fma (exp (* 3 x)) (exp (* 3 x)) (* (fma 1.0 (* 1.0 1.0) (exp (* 3 x))) (* (* 1.0 1.0) 1.0))))
48.0ms
(/ (/ (- (exp (fma x 6 (* 3 x))) (* 1.0 (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 1.0 1.0) (* 1.0 1.0))))) (fma (exp (* 3 x)) (exp (* 3 x)) (* (fma 1.0 (* 1.0 1.0) (exp (* 3 x))) (* (* 1.0 1.0) 1.0)))) (fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0)))
17.0ms
(- (exp (fma x 6 (* 3 x))) (* 1.0 (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 1.0 1.0) (* 1.0 1.0)))))

series563.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(fma x 6 (* 3 x))
184.0ms
(/ (- (exp (fma x 6 (* 3 x))) (* 1.0 (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 1.0 1.0) (* 1.0 1.0))))) (fma (exp (* 3 x)) (exp (* 3 x)) (* (fma 1.0 (* 1.0 1.0) (exp (* 3 x))) (* (* 1.0 1.0) 1.0))))
280.0ms
(/ (/ (- (exp (fma x 6 (* 3 x))) (* 1.0 (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 1.0 1.0) (* 1.0 1.0))))) (fma (exp (* 3 x)) (exp (* 3 x)) (* (fma 1.0 (* 1.0 1.0) (exp (* 3 x))) (* (* 1.0 1.0) 1.0)))) (fma (exp x) (exp x) (* (+ 1.0 (exp x)) 1.0)))
35.0ms
(- (exp (fma x 6 (* 3 x))) (* 1.0 (* (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 1.0 1.0) (* 1.0 1.0)))))

simplify2.6s

Counts
149 → 149
Iterations
IterNodes
done5001
21880
1632
0259

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample2.5s

Algorithm
intervals
Results
909.0ms3439×body1280valid
633.0ms11878×pre80true
368.0ms2518×body640valid
189.0ms1217×body320valid
86.0ms4088×body80valid
35.0ms616×body160valid