Details

Time bar (total: 29.2s)

sample70.0ms

Algorithm
intervals
Results
23.0ms100×body1280valid
12.0ms87×body640valid
5.0ms396×pre80true
4.0ms42×body320valid
3.0ms151×body80valid
1.0ms16×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done7
27
16
04

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize8.0ms

Local error

Found 1 expressions with local error:

5.4b
(- (exp x) 1.0)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
prod-diff
add-cube-cbrt
fma-neg add-log-exp
expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 29
Calls
1 calls:
18.0ms
(- (exp x) 1.0)

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(- (exp x) 1.0)

simplify4.3s

Counts
32 → 32
Iterations
IterNodes
done5001
42165
3867
2302
1149
067

prune282.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 22
Calls
2 calls:
2.0ms
(fma 1/6 x 1/2)
2.0ms
(fma (fma 1/6 x 1/2) (* x x) x)

series78.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(fma 1/6 x 1/2)
38.0ms
(fma (fma 1/6 x 1/2) (* x x) x)

simplify7.0s

Counts
28 → 28
Iterations
IterNodes
done5000
43085
3618
2169
166
037

prune328.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (fma 1.0 (+ (exp x) 1.0) (* (exp x) (exp x))))
0.0b
(* (exp x) (exp x))
0.1b
(exp (* 3 x))
5.3b
(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
19×exp-prod
11×pow1
times-frac
add-cbrt-cube add-log-exp
add-exp-log
expm1-log1p-u pow-prod-down pow-sqr pow-prod-up insert-posit16 log1p-expm1-u
associate-/r* fma-neg swap-sqr associate-*r* associate-*l* prod-diff associate-/l*
flip3-- flip-- associate-/l/
pow2 cbrt-undiv clear-num sub-neg frac-2neg pow-plus exp-to-pow diff-log div-sub div-exp prod-exp *-commutative cbrt-unprod div-inv unswap-sqr rem-exp-log
Counts
4 → 104
Calls
4 calls:
69.0ms
(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (fma 1.0 (+ (exp x) 1.0) (* (exp x) (exp x))))
42.0ms
(* (exp x) (exp x))
6.0ms
(exp (* 3 x))
36.0ms
(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (fma 1.0 (+ (exp x) 1.0) (* (exp x) (exp x))))
26.0ms
(* (exp x) (exp x))
13.0ms
(exp (* 3 x))
41.0ms
(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

simplify6.4s

Counts
116 → 116
Iterations
IterNodes
done5000
33987
21097
1403
0166

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 1 expressions with local error:

5.4b
(+ (exp x) (- 1.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-log-exp
fma-def
add-sqr-sqrt sum-log add-cube-cbrt distribute-lft-out
neg-sub0 expm1-log1p-u pow1 +-commutative associate-+r- distribute-rgt-neg-in flip3-+ add-cbrt-cube unsub-neg neg-log add-exp-log flip-+ insert-posit16 log1p-expm1-u
Counts
1 → 23
Calls
1 calls:
35.0ms
(+ (exp x) (- 1.0))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(+ (exp x) (- 1.0))

simplify5.8s

Counts
26 → 26
Iterations
IterNodes
done5001
42949
31290
2417
1123
045

prune199.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes578.0ms

Accuracy

97.3% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.4b

bsearch2.0ms

simplify9.0ms

Iterations
IterNodes
done14
114
013

end0.0ms

sample2.2s

Algorithm
intervals
Results
905.0ms3379×body1280valid
422.0ms2572×body640valid
172.0ms11958×pre80true
158.0ms4131×body80valid
145.0ms1238×body320valid
39.0ms638×body160valid