Details

Time bar (total: 14.2s)

sample68.0ms

Algorithm
intervals
Results
28.0ms116×body1280valid
12.0ms87×body640valid
5.0ms385×pre80true
3.0ms136×body80valid
3.0ms30×body320valid
1.0ms16×body160valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done7
27
16
04

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize9.0ms

Local error

Found 1 expressions with local error:

5.1b
(- (exp x) 1.0)

rewrite19.0ms

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:
17.0ms
(- (exp x) 1.0)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(- (exp x) 1.0)

simplify1.6s

Counts
31 → 31
Iterations
IterNodes
done5000
32110
2428
1149
066

prune121.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma 1/6 x 1/2)
1.0ms
(fma (* x x) (fma 1/6 x 1/2) x)

series109.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(fma 1/6 x 1/2)
51.0ms
(fma (* x x) (fma 1/6 x 1/2) x)

simplify1.5s

Counts
26 → 26
Iterations
IterNodes
done5001
31575
2260
164
035

prune131.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt *-un-lft-identity
25×add-cube-cbrt
18×exp-prod
11×pow1
9×times-frac
8×add-cbrt-cube add-log-exp
6×add-exp-log
4×expm1-log1p-u pow-prod-down pow-sqr pow-prod-up log1p-expm1-u
3×associate-/r* fma-def fma-neg swap-sqr associate-*r* associate-*l* prod-diff associate-/l*
2×flip3-- flip-- associate-/l/
1×pow2 cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-+ pow-plus diff-log div-sub div-exp prod-exp *-commutative cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr
Counts
4 → 105
Calls
4 calls:
6.0ms
(+ 1.0 (exp x))
14.0ms
(* (exp x) (exp x))
30.0ms
(/ (- (exp (* 3 x)) (* (* 1.0 1.0) 1.0)) (fma 1.0 (+ 1.0 (exp x)) (* (exp x) (exp x))))
21.0ms
(- (exp (* 3 x)) (* (* 1.0 1.0) 1.0))

series176.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ 1.0 (exp x))
26.0ms
(* (exp x) (exp x))
119.0ms
(/ (- (exp (* 3 x)) (* (* 1.0 1.0) 1.0)) (fma 1.0 (+ 1.0 (exp x)) (* (exp x) (exp x))))
22.0ms
(- (exp (* 3 x)) (* (* 1.0 1.0) 1.0))

simplify2.4s

Counts
117 → 117
Iterations
IterNodes
done5001
22579
1470
0180

prune674.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize66.0ms

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)) (* (* (* 1.0 1.0) 1.0) (fma (* 1.0 1.0) 1.0 (exp (* 3 x))))))
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)) (* (* (* 1.0 1.0) 1.0) (fma (* 1.0 1.0) 1.0 (exp (* 3 x)))))) (fma 1.0 (+ 1.0 (exp x)) (* (exp x) (exp x))))
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))))

rewrite106.0ms

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))
37.0ms
(/ (- (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)) (* (* (* 1.0 1.0) 1.0) (fma (* 1.0 1.0) 1.0 (exp (* 3 x))))))
41.0ms
(/ (/ (- (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)) (* (* (* 1.0 1.0) 1.0) (fma (* 1.0 1.0) 1.0 (exp (* 3 x)))))) (fma 1.0 (+ 1.0 (exp x)) (* (exp x) (exp x))))
23.0ms
(- (exp (fma x 6 (* 3 x))) (* (* (* 1.0 1.0) 1.0) (* (* (* 1.0 1.0) 1.0) (* (* 1.0 1.0) 1.0))))

series553.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(fma x 6 (* 3 x))
187.0ms
(/ (- (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)) (* (* (* 1.0 1.0) 1.0) (fma (* 1.0 1.0) 1.0 (exp (* 3 x))))))
277.0ms
(/ (/ (- (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)) (* (* (* 1.0 1.0) 1.0) (fma (* 1.0 1.0) 1.0 (exp (* 3 x)))))) (fma 1.0 (+ 1.0 (exp x)) (* (exp x) (exp x))))
43.0ms
(- (exp (fma x 6 (* 3 x))) (* (* (* 1.0 1.0) 1.0) (* (* (* 1.0 1.0) 1.0) (* (* 1.0 1.0) 1.0))))

simplify2.8s

Counts
149 → 149
Iterations
IterNodes
done5000
22966
1651
0258

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes161.0ms

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
done6
06

end0.0ms

sample2.0s

Algorithm
intervals
Results
875.0ms3439×body1280valid
493.0ms2518×body640valid
178.0ms11878×pre80true
110.0ms1217×body320valid
87.0ms4088×body80valid
38.0ms616×body160valid