Details

Time bar (total: 9.6s)

sample54.0ms

Algorithm
intervals
Results
30.0ms143×pre10240exit
11.0ms256×body80valid
4.0ms113×pre80true

simplify22.0ms

Calls
1 calls:
Slowest
22.0ms
(- (/ x0 (- 1 x1)) x0)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize14.0ms

Local error

Found 2 expressions with local error:

7.4b
(- (/ x0 (- 1 x1)) x0)
0.7b
(/ x0 (- 1 x1))

rewrite7.0ms

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
6.0ms
(- (/ x0 (- 1 x1)) x0)
1.0ms
(/ x0 (- 1 x1))

series80.0ms

Calls
2 calls:
Slowest
41.0ms
(/ x0 (- 1 x1))
39.0ms
(- (/ x0 (- 1 x1)) x0)

simplify1.1s

Calls
15 calls:
Slowest
419.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
145.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
125.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))
109.0ms
(+ x0 (+ (* x0 x1) (* x0 (pow x1 2))))
102.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune172.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 1 expressions with local error:

7.2b
(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))

series52.0ms

Calls
1 calls:
Slowest
52.0ms
(fma x0 (/ 1 (- 1 x1)) (- x0))

simplify580.0ms

Calls
3 calls:
Slowest
392.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
99.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))
88.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune60.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.5b

localize18.0ms

Local error

Found 4 expressions with local error:

6.2b
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
0.8b
(+ (/ x0 (- 1 x1)) x0)
0.7b
(/ x0 (- 1 x1))
0.7b
(/ x0 (- 1 x1))

rewrite19.0ms

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-+ difference-of-squares
Calls
4 calls:
Slowest
13.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
4.0ms
(+ (/ x0 (- 1 x1)) x0)
1.0ms
(/ x0 (- 1 x1))
1.0ms
(/ x0 (- 1 x1))

series174.0ms

Calls
4 calls:
Slowest
69.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
38.0ms
(+ (/ x0 (- 1 x1)) x0)
38.0ms
(/ x0 (- 1 x1))
29.0ms
(/ x0 (- 1 x1))

simplify2.4s

Calls
32 calls:
Slowest
359.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
334.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
288.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
283.0ms
(/ (exp (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (exp (* x0 x0)))
129.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune359.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.7b

localize10.0ms

Local error

Found 4 expressions with local error:

6.2b
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
0.8b
(+ (/ x0 (- 1 x1)) x0)
0.7b
(/ x0 (- 1 x1))
0.7b
(/ x0 (- 1 x1))

rewrite18.0ms

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
11.0ms
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
4.0ms
(+ (/ x0 (- 1 x1)) x0)
1.0ms
(/ x0 (- 1 x1))
1.0ms
(/ x0 (- 1 x1))

series186.0ms

Calls
4 calls:
Slowest
84.0ms
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
45.0ms
(+ (/ x0 (- 1 x1)) x0)
29.0ms
(/ x0 (- 1 x1))
27.0ms
(/ x0 (- 1 x1))

simplify2.5s

Calls
30 calls:
Slowest
353.0ms
(/ (exp (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1))))) (exp (* x0 x0)))
324.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
309.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
269.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
186.0ms
(fma (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1))) (- (* x0 x0)))

prune277.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 3.9b

regimes61.0ms

Accuracy

0% (0.7b remaining)

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

bsearch2.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
804.0ms3958×pre10240exit
336.0ms8000×body80valid
141.0ms4042×pre80true