Details

Time bar (total: 24.5s)

sample104.0ms

Algorithm
intervals
Results
61.0ms140×pre10240exit
19.0ms256×body80valid
7.0ms116×pre80true

simplify23.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize17.0ms

Local error

Found 2 expressions with local error:

7.2b
(- (/ x0 (- 1 x1)) x0)
0.7b
(/ x0 (- 1 x1))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
130×add-sqr-sqrt
127×*-un-lft-identity
91×times-frac
77×add-cube-cbrt
72×prod-diff
34×difference-of-squares
24×fma-neg
17×distribute-lft-out--
10×associate-/r/
6×associate-/r* flip3-- flip--
5×div-inv
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp
Calls
2 calls:
Slowest
93.0ms
(- (/ x0 (- 1 x1)) x0)
9.0ms
(/ x0 (- 1 x1))

series89.0ms

Calls
2 calls:
Slowest
47.0ms
(- (/ x0 (- 1 x1)) x0)
42.0ms
(/ x0 (- 1 x1))

simplify10.8s

Calls
226 calls:
Slowest
311.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
285.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
262.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
256.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1) (sqrt x1))) (- (* (cbrt x0) (* (cbrt x0) (cbrt x0)))))
237.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) (* (cbrt (- 1 x1)) (cbrt (- 1 x1)))) (/ (cbrt x0) (cbrt (- 1 x1))) (- (* (sqrt x0) (sqrt x0))))

prune707.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.6b

localize26.0ms

Local error

Found 2 expressions with local error:

6.2b
(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))
0.2b
(/ (sqrt x0) (- 1 (sqrt x1)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
64×*-un-lft-identity
54×times-frac
51×sqrt-prod
29×add-cube-cbrt
28×difference-of-squares
14×distribute-lft-out--
9×associate-/r*
6×associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Calls
2 calls:
Slowest
12.0ms
(/ (sqrt x0) (- 1 (sqrt x1)))
0.0ms
(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))

series309.0ms

Calls
2 calls:
Slowest
201.0ms
(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))
108.0ms
(/ (sqrt x0) (- 1 (sqrt x1)))

simplify2.5s

Calls
132 calls:
Slowest
481.0ms
(/ (* (* (sqrt x0) (sqrt x0)) (sqrt x0)) (* (* (- 1 (sqrt x1)) (- 1 (sqrt x1))) (- 1 (sqrt x1))))
50.0ms
(/ (* (cbrt (sqrt x0)) (cbrt (sqrt x0))) (* (cbrt (- 1 (sqrt x1))) (cbrt (- 1 (sqrt x1)))))
37.0ms
(+ (* 1 1) (+ (* (sqrt x1) (sqrt x1)) (* 1 (sqrt x1))))
32.0ms
(/ (* (cbrt (sqrt x0)) (cbrt (sqrt x0))) (sqrt (- 1 (sqrt x1))))
30.0ms
(/ (sqrt (sqrt x0)) (- (sqrt 1) (sqrt (sqrt x1))))

prune808.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.6b

localize15.0ms

Local error

Found 2 expressions with local error:

6.0b
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
0.3b
(/ (cbrt x0) (- 1 x1))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt *-un-lft-identity
36×times-frac
23×add-cube-cbrt
21×cbrt-prod
14×difference-of-squares
7×distribute-lft-out--
6×associate-/r* associate-/l*
5×add-cbrt-cube
4×add-exp-log
2×expm1-log1p-u pow1 cbrt-undiv associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Calls
2 calls:
Slowest
11.0ms
(/ (cbrt x0) (- 1 x1))
0.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))

series205.0ms

Calls
2 calls:
Slowest
117.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
88.0ms
(/ (cbrt x0) (- 1 x1))

simplify2.6s

Calls
94 calls:
Slowest
550.0ms
(- (+ (* (pow x0 1/3) (/ 1 (pow x1 2))) (+ (* (pow x0 1/3) (/ 1 x1)) (* (pow x0 1/3) (/ 1 (pow x1 3))))))
221.0ms
(/ x0 (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
156.0ms
(- (+ (* (pow (* x0 -1) 1/3) (/ (cbrt -1) x1)) (+ (* (pow (* x0 -1) 1/3) (/ (cbrt -1) (pow x1 3))) (* (pow (* x0 -1) 1/3) (/ (cbrt -1) (pow x1 2))))))
143.0ms
(+ (* (pow x0 1/3) (pow x1 2)) (+ (* (pow x0 1/3) x1) (pow x0 1/3)))
133.0ms
(/ (* (* (cbrt x0) (cbrt x0)) (cbrt x0)) (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))

prune337.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.6b

localize31.0ms

Local error

Found 3 expressions with local error:

6.0b
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
0.7b
(exp (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
0.3b
(/ (cbrt x0) (- 1 x1))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt *-un-lft-identity
36×times-frac
26×add-cube-cbrt
21×cbrt-prod
14×difference-of-squares
7×distribute-lft-out--
6×associate-/r* add-cbrt-cube associate-/l*
5×add-exp-log
4×pow1 exp-prod add-log-exp
3×expm1-log1p-u log-prod exp-sum insert-posit16 log1p-expm1-u
2×cbrt-undiv associate-/r/ rem-exp-log
1×clear-num frac-2neg flip3-- div-exp log-pow fma-udef div-inv flip--
Calls
3 calls:
Slowest
16.0ms
(/ (cbrt x0) (- 1 x1))
3.0ms
(exp (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
0.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))

series327.0ms

Calls
3 calls:
Slowest
126.0ms
(exp (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
109.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
92.0ms
(/ (cbrt x0) (- 1 x1))

simplify2.9s

Calls
106 calls:
Slowest
206.0ms
(/ x0 (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
205.0ms
(- (+ (* (pow (* x0 -1) 1/3) (/ (cbrt -1) x1)) (+ (* (pow (* x0 -1) 1/3) (/ (cbrt -1) (pow x1 3))) (* (pow (* x0 -1) 1/3) (/ (cbrt -1) (pow x1 2))))))
161.0ms
(/ (* (* (cbrt x0) (cbrt x0)) (cbrt x0)) (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
155.0ms
(- (+ (* (pow x0 1/3) (/ 1 (pow x1 2))) (+ (* (pow x0 1/3) (/ 1 x1)) (* (pow x0 1/3) (/ 1 (pow x1 3))))))
152.0ms
(+ (* (pow x0 1/3) (pow x1 2)) (+ (* (pow x0 1/3) x1) (pow x0 1/3)))

prune577.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.6b

regimes103.0ms

Accuracy

48.2% (1.2b remaining)

Error of 6.1b against oracle of 4.9b and baseline of 7.2b

bsearch42.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s3927×pre10240exit
410.0ms8000×body80valid
161.0ms4073×pre80true