Details

Time bar (total: 24.3s)

sample64.0ms

Algorithm
intervals
Results
34.0ms144×pre10240exit
12.0ms256×body80valid
5.0ms112×pre80true

simplify11.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
11.0ms
(- (/ x0 (- 1 x1)) x0)

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize16.0ms

Local error

Found 2 expressions with local error:

7.3b
(- (/ x0 (- 1 x1)) x0)
0.7b
(/ x0 (- 1 x1))

rewrite78.0ms

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
56.0ms
(- (/ x0 (- 1 x1)) x0)
16.0ms
(/ x0 (- 1 x1))

series80.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
47.0ms
(- (/ x0 (- 1 x1)) x0)
34.0ms
(/ x0 (- 1 x1))

simplify11.2s

Counts
226 → 164
Calls
226 calls:
Slowest
291.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
287.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1) (sqrt x1))) (- (* (cbrt x0) (* (cbrt x0) (cbrt x0)))))
279.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
263.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
251.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- (* (cbrt x0) (* (cbrt x0) (cbrt x0)))))

prune646.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.7b

localize31.0ms

Local error

Found 2 expressions with local error:

6.3b
(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))
0.2b
(/ (sqrt x0) (- 1 (sqrt x1)))

rewrite13.0ms

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
11.0ms
(/ (sqrt x0) (- 1 (sqrt x1)))
0.0ms
(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))

series285.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
199.0ms
(fma (/ (sqrt x0) (+ 1 (sqrt x1))) (/ (sqrt x0) (- 1 (sqrt x1))) (- x0))
86.0ms
(/ (sqrt x0) (- 1 (sqrt x1)))

simplify2.5s

Counts
132 → 103
Calls
132 calls:
Slowest
439.0ms
(/ (* (* (sqrt x0) (sqrt x0)) (sqrt x0)) (* (* (- 1 (sqrt x1)) (- 1 (sqrt x1))) (- 1 (sqrt x1))))
55.0ms
(/ (* (cbrt (sqrt x0)) (cbrt (sqrt x0))) (* (cbrt (- 1 (sqrt x1))) (cbrt (- 1 (sqrt x1)))))
40.0ms
(/ (* (cbrt (sqrt x0)) (cbrt (sqrt x0))) (+ 1 (sqrt (sqrt x1))))
38.0ms
(/ (* (cbrt (sqrt x0)) (cbrt (sqrt x0))) (+ (sqrt 1) (sqrt (sqrt x1))))
37.0ms
(/ (sqrt 1) (* (cbrt (- 1 (sqrt x1))) (cbrt (- 1 (sqrt x1)))))

prune740.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.7b

localize21.0ms

Local error

Found 2 expressions with local error:

6.1b
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
0.3b
(/ (cbrt x0) (- 1 x1))

rewrite24.0ms

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
22.0ms
(/ (cbrt x0) (- 1 x1))
0.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))

series211.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
118.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
93.0ms
(/ (cbrt x0) (- 1 x1))

simplify2.1s

Counts
93 → 82
Calls
93 calls:
Slowest
243.0ms
(/ x0 (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
156.0ms
(+ (* (pow x0 1/3) (pow x1 2)) (+ (* (pow x0 1/3) x1) (pow x0 1/3)))
154.0ms
(- (+ (* (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))))))
142.0ms
(- (+ (* (pow x0 1/3) (/ 1 (pow x1 2))) (+ (* (pow x0 1/3) (/ 1 x1)) (* (pow x0 1/3) (/ 1 (pow x1 3))))))
94.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune368.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.7b

localize28.0ms

Local error

Found 3 expressions with local error:

6.1b
(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))

rewrite26.0ms

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
17.0ms
(/ (cbrt x0) (- 1 x1))
6.0ms
(exp (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
1.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))

series320.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
108.0ms
(exp (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
106.0ms
(/ (cbrt x0) (- 1 x1))
105.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))

simplify2.6s

Counts
104 → 103
Calls
104 calls:
Slowest
196.0ms
(/ x0 (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
185.0ms
(- (+ (* (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))))))
148.0ms
(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))))))
148.0ms
(+ (* (pow x0 1/3) (pow x1 2)) (+ (* (pow x0 1/3) x1) (pow x0 1/3)))
143.0ms
(- (+ (* (pow x0 1/3) (/ 1 (pow x1 2))) (+ (* (pow x0 1/3) (/ 1 x1)) (* (pow x0 1/3) (/ 1 (pow x1 3))))))

prune529.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.7b

regimes115.0ms

Accuracy

48.3% (1.2b remaining)

Error of 6.0b against oracle of 4.9b and baseline of 7.1b

bsearch46.0ms

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s3981×pre10240exit
779.0ms8000×body80valid
166.0ms4019×pre80true