Details

Time bar (total: 10.0s)

sample71.0ms

Algorithm
intervals
Results
35.0ms113×pre10240exit
17.0ms256×body80valid
7.0ms143×pre80true

simplify21.0ms

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

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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
12.0ms
(- (/ x0 (- 1 x1)) x0)
1.0ms
(/ x0 (- 1 x1))

series87.0ms

Calls
2 calls:
Slowest
62.0ms
(- (/ x0 (- 1 x1)) x0)
25.0ms
(/ x0 (- 1 x1))

simplify1.1s

Calls
15 calls:
Slowest
388.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
140.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
135.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
105.0ms
(+ x0 (+ (* x0 x1) (* x0 (pow x1 2))))
88.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune194.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.6b

localize18.0ms

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))

series65.0ms

Calls
1 calls:
Slowest
65.0ms
(fma x0 (/ 1 (- 1 x1)) (- x0))

simplify572.0ms

Calls
3 calls:
Slowest
377.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
119.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))
75.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune68.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.5b

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))

rewrite8.0ms

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
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))

series198.0ms

Calls
4 calls:
Slowest
86.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
43.0ms
(/ x0 (- 1 x1))
43.0ms
(/ x0 (- 1 x1))
26.0ms
(/ x0 (- 1 x1))

simplify2.6s

Calls
33 calls:
Slowest
369.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
316.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
284.0ms
(/ (exp (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (exp (* x0 x0)))
280.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
158.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune387.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.0b

localize17.0ms

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)

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
10.0ms
(- (* (* 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))

series178.0ms

Calls
4 calls:
Slowest
71.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
40.0ms
(/ x0 (- 1 x1))
37.0ms
(+ (/ x0 (- 1 x1)) x0)
30.0ms
(/ x0 (- 1 x1))

simplify2.2s

Calls
30 calls:
Slowest
282.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
246.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
242.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
185.0ms
(/ (exp (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1)))) (exp (* x0 x0)))
185.0ms
(fma (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1)) (- (* x0 x0)))

prune336.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.2b

regimes73.0ms

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
1.0s3954×pre10240exit
386.0ms8000×body80valid
142.0ms4046×pre80true