Details

Time bar (total: 10.2s)

sample84.0ms

Algorithm
intervals
Results
45.0ms121×pre10240exit
16.0ms256×body80valid
7.0ms135×pre80true

simplify16.0ms

Calls
1 calls:
Slowest
16.0ms
(- (/ x0 (- 1 x1)) x0)

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize8.0ms

Local error

Found 2 expressions with local error:

7.5b
(- (/ x0 (- 1 x1)) x0)
0.8b
(/ 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))

series53.0ms

Calls
2 calls:
Slowest
37.0ms
(- (/ x0 (- 1 x1)) x0)
16.0ms
(/ x0 (- 1 x1))

simplify1.5s

Calls
15 calls:
Slowest
729.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
139.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
137.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
114.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))
109.0ms
(+ x0 (+ (* x0 x1) (* x0 (pow x1 2))))

prune198.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.7b

localize14.0ms

Local error

Found 1 expressions with local error:

7.3b
(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))

series36.0ms

Calls
1 calls:
Slowest
36.0ms
(fma x0 (/ 1 (- 1 x1)) (- x0))

simplify571.0ms

Calls
3 calls:
Slowest
350.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
125.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))
95.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune81.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.6b

localize24.0ms

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))

rewrite17.0ms

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
13.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
1.0ms
(/ x0 (- 1 x1))
1.0ms
(/ x0 (- 1 x1))
1.0ms
(/ x0 (- 1 x1))

series110.0ms

Calls
4 calls:
Slowest
37.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
27.0ms
(/ x0 (- 1 x1))
23.0ms
(/ x0 (- 1 x1))
23.0ms
(/ x0 (- 1 x1))

simplify2.5s

Calls
33 calls:
Slowest
315.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
296.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
291.0ms
(/ (exp (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (exp (* x0 x0)))
253.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
141.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune345.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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
9.0ms
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
5.0ms
(+ (/ x0 (- 1 x1)) x0)
1.0ms
(/ x0 (- 1 x1))
1.0ms
(/ x0 (- 1 x1))

series94.0ms

Calls
4 calls:
Slowest
39.0ms
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
21.0ms
(/ x0 (- 1 x1))
20.0ms
(+ (/ x0 (- 1 x1)) x0)
14.0ms
(/ x0 (- 1 x1))

simplify2.4s

Calls
30 calls:
Slowest
381.0ms
(/ (exp (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1))))) (exp (* x0 x0)))
293.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
262.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
228.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
200.0ms
(fma (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1))) (- (* x0 x0)))

prune350.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.1b

regimes65.0ms

Accuracy

0% (0.7b remaining)

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

bsearch2.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.0s3950×pre10240exit
372.0ms8000×body80valid
154.0ms4050×pre80true