Details

Time bar (total: 9.5s)

sample86.0ms

Algorithm
intervals
Results
48.0ms116×pre10240exit
16.0ms256×body80valid
8.0ms140×pre80true

simplify13.0ms

Calls
1 calls:
Slowest
13.0ms
(- (/ x0 (- 1 x1)) x0)

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize9.0ms

Local error

Found 2 expressions with local error:

7.6b
(- (/ x0 (- 1 x1)) x0)
0.8b
(/ x0 (- 1 x1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×fma-neg
4×add-sqr-sqrt *-un-lft-identity associate-/r/ add-cube-cbrt
3×associate-/r* flip3-- flip--
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num sub-neg frac-2neg
Calls
2 calls:
Slowest
8.0ms
(- (/ x0 (- 1 x1)) x0)
1.0ms
(/ x0 (- 1 x1))

series36.0ms

Calls
2 calls:
Slowest
21.0ms
(- (/ x0 (- 1 x1)) x0)
15.0ms
(/ x0 (- 1 x1))

simplify1.1s

Calls
15 calls:
Slowest
421.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
133.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
108.0ms
(+ x0 (+ (* x0 x1) (* x0 (pow x1 2))))
107.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
91.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune183.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.8b

localize16.0ms

Local error

Found 1 expressions with local error:

7.4b
(fma x0 (/ 1 (- 1 x1)) (- x0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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
Calls
1 calls:
Slowest
0.0ms
(fma x0 (/ 1 (- 1 x1)) (- x0))

series24.0ms

Calls
1 calls:
Slowest
24.0ms
(fma x0 (/ 1 (- 1 x1)) (- x0))

simplify549.0ms

Calls
3 calls:
Slowest
404.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
80.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))
64.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune116.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.7b

localize26.0ms

Local error

Found 4 expressions with local error:

6.3b
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
0.8b
(/ x0 (- 1 x1))
0.8b
(/ x0 (- 1 x1))
0.8b
(/ x0 (- 1 x1))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×associate-/r*
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-/r/ add-log-exp
4×expm1-log1p-u pow1 flip3-- add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u flip--
3×clear-num frac-2neg div-inv
1×sub-neg fma-neg diff-log prod-diff difference-of-squares
Calls
4 calls:
Slowest
10.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
1.0ms
(/ x0 (- 1 x1))
1.0ms
(/ x0 (- 1 x1))
1.0ms
(/ x0 (- 1 x1))

series89.0ms

Calls
4 calls:
Slowest
38.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
19.0ms
(/ x0 (- 1 x1))
17.0ms
(/ x0 (- 1 x1))
16.0ms
(/ x0 (- 1 x1))

simplify2.7s

Calls
33 calls:
Slowest
513.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
266.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
257.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
245.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
215.0ms
(/ (exp (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (exp (* x0 x0)))

prune353.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.1b

localize10.0ms

Local error

Found 4 expressions with local error:

6.3b
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
0.8b
(/ x0 (- 1 x1))
0.8b
(/ x0 (- 1 x1))
0.7b
(+ (/ x0 (- 1 x1)) x0)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-/r* fma-def associate-/r/ add-log-exp
4×expm1-log1p-u pow1 flip3-- add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u flip--
3×div-inv
2×clear-num frac-2neg
1×+-commutative sub-neg flip3-+ fma-neg diff-log prod-diff flip-+
Calls
4 calls:
Slowest
14.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
8.0ms
(+ (/ x0 (- 1 x1)) x0)
1.0ms
(/ x0 (- 1 x1))
1.0ms
(/ x0 (- 1 x1))

series81.0ms

Calls
4 calls:
Slowest
31.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
18.0ms
(+ (/ x0 (- 1 x1)) x0)
18.0ms
(/ x0 (- 1 x1))
14.0ms
(/ x0 (- 1 x1))

simplify2.0s

Calls
30 calls:
Slowest
295.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
272.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
209.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
156.0ms
(/ (exp (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1)))) (exp (* x0 x0)))
153.0ms
(fma (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1)) (- (* x0 x0)))

prune406.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.3b

regimes72.0ms

Accuracy

0% (0.7b remaining)

Error of 4.7b against oracle of 4.0b and baseline of 4.7b

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
903.0ms3966×pre10240exit
408.0ms8000×body80valid
135.0ms4034×pre80true