Details

Time bar (total: 11.7s)

sample82.0ms

Algorithm
intervals
Results
40.0ms113×pre10240exit
17.0ms256×body80valid
8.0ms143×pre80true

simplify20.0ms

Calls
1 calls:
Slowest
20.0ms
(- (/ x0 (- 1 x1)) x0)

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize25.0ms

Local error

Found 2 expressions with local error:

7.4b
(- (/ x0 (- 1 x1)) x0)
0.8b
(/ x0 (- 1 x1))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt associate-/r* *-un-lft-identity add-cube-cbrt
pow1 flip3-- add-cbrt-cube add-exp-log associate-/r/ insert-posit16 flip-- add-log-exp
clear-num sub-neg frac-2neg div-inv
Calls
2 calls:
Slowest
9.0ms
(- (/ x0 (- 1 x1)) x0)
1.0ms
(/ x0 (- 1 x1))

series102.0ms

Calls
2 calls:
Slowest
60.0ms
(- (/ x0 (- 1 x1)) x0)
42.0ms
(/ x0 (- 1 x1))

simplify753.0ms

Calls
11 calls:
Slowest
188.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
135.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
101.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
86.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))
84.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune151.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.0b

localize14.0ms

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))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
associate-/r*
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-/r/ add-log-exp
pow1 flip3-- add-cbrt-cube add-exp-log insert-posit16 flip--
clear-num frac-2neg div-inv
sub-neg diff-log difference-of-squares
Calls
4 calls:
Slowest
6.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
1.0ms
(/ x0 (- 1 x1))
1.0ms
(/ x0 (- 1 x1))
0.0ms
(/ x0 (- 1 x1))

series172.0ms

Calls
4 calls:
Slowest
80.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
38.0ms
(/ x0 (- 1 x1))
27.0ms
(/ x0 (- 1 x1))
26.0ms
(/ x0 (- 1 x1))

simplify1.8s

Calls
30 calls:
Slowest
251.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
215.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
187.0ms
(/ (exp (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (exp (* x0 x0)))
154.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
107.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune288.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.1b

localize19.0ms

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)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt associate-/r* *-un-lft-identity add-cube-cbrt add-log-exp
pow1 add-cbrt-cube add-exp-log associate-/r/ insert-posit16
flip3-- flip--
clear-num frac-2neg div-inv
+-commutative sub-neg flip3-+ diff-log flip-+
Calls
4 calls:
Slowest
8.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
4.0ms
(+ (/ x0 (- 1 x1)) x0)
1.0ms
(/ x0 (- 1 x1))
0.0ms
(/ x0 (- 1 x1))

series172.0ms

Calls
4 calls:
Slowest
76.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
35.0ms
(+ (/ x0 (- 1 x1)) x0)
34.0ms
(/ x0 (- 1 x1))
26.0ms
(/ x0 (- 1 x1))

simplify1.8s

Calls
23 calls:
Slowest
333.0ms
(+ (* 2 x0) (+ (* x0 x1) (* x0 (pow x1 2))))
313.0ms
(/ (exp (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1)))) (exp (* x0 x0)))
211.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
208.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
141.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))

prune225.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.3b

localize10.0ms

Local error

Found 4 expressions with local error:

6.3b
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
3.9b
(log (exp (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))))
0.8b
(/ x0 (- 1 x1))
0.8b
(/ x0 (- 1 x1))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-/r* add-log-exp
pow1 log-prod
add-cbrt-cube add-exp-log associate-/r/ log-pow insert-posit16
exp-prod flip3-- flip--
clear-num sub-neg frac-2neg exp-sum div-inv
log-div exp-diff diff-log rem-log-exp
Calls
4 calls:
Slowest
16.0ms
(log (exp (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))))
7.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
1.0ms
(/ x0 (- 1 x1))
1.0ms
(/ x0 (- 1 x1))

series179.0ms

Calls
4 calls:
Slowest
62.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
62.0ms
(log (exp (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))))
29.0ms
(/ x0 (- 1 x1))
26.0ms
(/ x0 (- 1 x1))

simplify3.9s

Calls
33 calls:
Slowest
277.0ms
(/ (exp (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1)))) (exp (* x0 x0)))
261.0ms
(log (sqrt (exp (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0)))))
241.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
239.0ms
(cbrt (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0)))
237.0ms
(sqrt (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0)))

prune404.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.1b

regimes74.0ms

Accuracy

0% (0.7b remaining)

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

bsearch3.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
885.0ms3954×pre10240exit
330.0ms8000×body80valid
123.0ms4046×pre80true