Details

Time bar (total: 25.0s)

sample93.0ms

Algorithm
intervals
Results
52.0ms139×pre10240exit
17.0ms256×body80valid
6.0ms117×pre80true

simplify21.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
21.0ms
(- (/ x0 (- 1 x1)) x0)

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize11.0ms

Local error

Found 2 expressions with local error:

6.9b
(- (/ x0 (- 1 x1)) x0)
0.7b
(/ x0 (- 1 x1))

rewrite92.0ms

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
Counts
2 → 158
Calls
2 calls:
Slowest
69.0ms
(- (/ x0 (- 1 x1)) x0)
18.0ms
(/ x0 (- 1 x1))

series116.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
71.0ms
(- (/ x0 (- 1 x1)) x0)
45.0ms
(/ x0 (- 1 x1))

simplify11.9s

Counts
226 → 164
Calls
226 calls:
Slowest
355.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
274.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
264.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
232.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) (+ 1 (sqrt x1))) (/ (cbrt x0) (- 1 (sqrt x1))) (- (* (cbrt x0) (* (cbrt x0) (cbrt x0)))))
230.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1) (sqrt x1))) (- (* (cbrt x0) (* (cbrt x0) (cbrt x0)))))

prune858.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.5b

localize21.0ms

Local error

Found 2 expressions with local error:

6.0b
(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))
0.3b
(/ (sqrt x0) (- 1 (sqrt x1)))

rewrite24.0ms

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--
Counts
2 → 97
Calls
2 calls:
Slowest
21.0ms
(/ (sqrt x0) (- 1 (sqrt x1)))
0.0ms
(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))

series317.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
214.0ms
(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))
103.0ms
(/ (sqrt x0) (- 1 (sqrt x1)))

simplify2.9s

Counts
132 → 103
Calls
132 calls:
Slowest
639.0ms
(/ (* (* (sqrt x0) (sqrt x0)) (sqrt x0)) (* (* (- 1 (sqrt x1)) (- 1 (sqrt x1))) (- 1 (sqrt x1))))
62.0ms
(/ (* (cbrt (sqrt x0)) (cbrt (sqrt x0))) (* (cbrt (- 1 (sqrt x1))) (cbrt (- 1 (sqrt x1)))))
42.0ms
(/ (* (cbrt (sqrt x0)) (cbrt (sqrt x0))) (+ 1 (sqrt (sqrt x1))))
41.0ms
(/ (* (cbrt (sqrt x0)) (cbrt (sqrt x0))) (+ 1 (sqrt (sqrt x1))))
36.0ms
(/ (* (cbrt (sqrt x0)) (cbrt (sqrt x0))) (sqrt 1))

prune717.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.5b

localize24.0ms

Local error

Found 2 expressions with local error:

5.9b
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
0.3b
(/ (cbrt x0) (- 1 x1))

rewrite10.0ms

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*
4×add-exp-log
3×add-cbrt-cube
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--
Counts
2 → 76
Calls
2 calls:
Slowest
9.0ms
(/ (cbrt x0) (- 1 x1))
0.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))

series226.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
113.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
112.0ms
(/ (cbrt x0) (- 1 x1))

simplify2.1s

Counts
93 → 82
Calls
93 calls:
Slowest
268.0ms
(/ x0 (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
189.0ms
(- (+ (* (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))))))
184.0ms
(+ (* (pow x0 1/3) (pow x1 2)) (+ (* (pow x0 1/3) x1) (pow x0 1/3)))
150.0ms
(- (+ (* (pow x0 1/3) (/ 1 (pow x1 2))) (+ (* (pow x0 1/3) (/ 1 x1)) (* (pow x0 1/3) (/ 1 (pow x1 3))))))
92.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune359.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.5b

localize23.0ms

Local error

Found 3 expressions with local error:

5.9b
(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))

rewrite25.0ms

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* associate-/l*
5×add-exp-log
4×pow1 exp-prod add-cbrt-cube
3×expm1-log1p-u log-prod exp-sum insert-posit16 log1p-expm1-u add-log-exp
2×associate-/r/
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp log-pow fma-udef div-inv flip-- rem-exp-log
Counts
3 → 94
Calls
3 calls:
Slowest
18.0ms
(/ (cbrt x0) (- 1 x1))
4.0ms
(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

Counts
3 → 9
Calls
3 calls:
Slowest
112.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
110.0ms
(exp (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
105.0ms
(/ (cbrt x0) (- 1 x1))

simplify2.5s

Counts
104 → 103
Calls
104 calls:
Slowest
195.0ms
(/ x0 (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
143.0ms
(exp (* (cbrt (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0)))) (cbrt (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))))
143.0ms
(- (+ (* (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))))))
125.0ms
(+ (* (pow x0 1/3) (pow x1 2)) (+ (* (pow x0 1/3) x1) (pow x0 1/3)))
120.0ms
(- (+ (* (pow x0 1/3) (/ 1 (pow x1 2))) (+ (* (pow x0 1/3) (/ 1 x1)) (* (pow x0 1/3) (/ 1 (pow x1 3))))))

prune425.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.5b

regimes94.0ms

Accuracy

45.5% (1.2b remaining)

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

bsearch24.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s4034×pre10240exit
362.0ms8000×body80valid
123.0ms3966×pre80true