Details

Time bar (total: 14.2s)

sample59.0ms

Algorithm
intervals
Results
26.0ms82×body1280valid
9.0ms42×body640valid
7.0ms176×body80valid
3.0ms19×body320valid
2.0ms19×body160valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5001
71575
6382
5135
456
329
219
114
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize13.0ms

Local error

Found 1 expressions with local error:

4.9b
(- (exp (* a x)) 1)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
add-log-exp
difference-of-squares
pow1 sub-neg flip3-- add-cbrt-cube diff-log difference-of-sqr-1 add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out--
Counts
1 → 17
Calls
1 calls:
16.0ms
(- (exp (* a x)) 1)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(- (exp (* a x)) 1)

simplify2.2s

Counts
20 → 20
Iterations
IterNodes
done5000
42910
3977
2307
1113
048

prune90.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (* x a) (* x a)) (+ 1/2 (* (* 1/6 x) a)))
0.2b
(* (* 1/6 x) a)
0.2b
(* (* x a) (* x a))
0.4b
(* 1/6 x)

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
68×pow1
41×add-cbrt-cube add-exp-log
34×pow-prod-down
25×prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*r*
*-un-lft-identity add-cube-cbrt
associate-*l*
pow-sqr *-commutative pow-prod-up insert-posit16 add-log-exp
pow-plus associate-*r/ unswap-sqr
pow2 distribute-rgt-in distribute-lft-in flip3-+ swap-sqr flip-+
Counts
4 → 106
Calls
4 calls:
118.0ms
(* (* (* x a) (* x a)) (+ 1/2 (* (* 1/6 x) a)))
35.0ms
(* (* 1/6 x) a)
53.0ms
(* (* x a) (* x a))
14.0ms
(* 1/6 x)

series205.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (* (* x a) (* x a)) (+ 1/2 (* (* 1/6 x) a)))
22.0ms
(* (* 1/6 x) a)
36.0ms
(* (* x a) (* x a))
28.0ms
(* 1/6 x)

simplify1.9s

Counts
118 → 118
Iterations
IterNodes
done5000
21991
1413
0137

prune441.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

4.9b
(+ (exp (* a x)) -1)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity add-log-exp
add-sqr-sqrt
pow1 +-commutative difference-of-sqr--1 sum-log flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 distribute-lft-out
Counts
1 → 14
Calls
1 calls:
23.0ms
(+ (exp (* a x)) -1)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(+ (exp (* a x)) -1)

simplify3.7s

Counts
17 → 17
Iterations
IterNodes
done5002
44413
31415
2387
1123
046

prune65.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

98.1% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 20.1b

bsearch1.0ms

simplify6.0ms

Iterations
IterNodes
done25
125
018

end0.0ms

sample2.4s

Algorithm
intervals
Results
983.0ms2702×body1280valid
672.0ms5304×body80valid
323.0ms1366×body640valid
111.0ms807×body320valid
38.0ms405×body160valid