Details

Time bar (total: 16.8s)

sample33.0ms

Algorithm
intervals
Results
20.0ms297×body80valid
2.0ms9×body640valid
1.0ms5×body320valid
1.0ms3×body1280valid
0.0ms1×body160valid

simplify101.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
101.0ms
(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d3 (+ 3 d2)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
Slowest
52.0ms
(* d1 (+ d3 (+ 3 d2)))

series32.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
32.0ms
(* d1 (+ d3 (+ 3 d2)))

simplify1.1s

Counts
19 → 28
Calls
19 calls:
Slowest
348.0ms
(* (* (* d1 d1) d1) (* (* (+ d3 (+ 3 d2)) (+ d3 (+ 3 d2))) (+ d3 (+ 3 d2))))
268.0ms
(+ (* d3 d3) (- (* (+ 3 d2) (+ 3 d2)) (* d3 (+ 3 d2))))
81.0ms
(+ (* d3 d1) (+ (* d2 d1) (* 3 d1)))
63.0ms
(+ (* d3 d1) (+ (* d2 d1) (* 3 d1)))
63.0ms
(* d1 (+ d3 (+ 3 d2)))

prune243.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.4b
(* (cbrt d1) (cbrt d1))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
Slowest
7.0ms
(* (cbrt d1) (cbrt d1))
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
291.0ms
(* (cbrt d1) (cbrt d1))
257.0ms
(cbrt d1)
250.0ms
(cbrt d1)
237.0ms
(cbrt d1)

simplify878.0ms

Counts
63 → 89
Calls
63 calls:
Slowest
150.0ms
(* (pow (* d1 -1) 1/3) (cbrt -1))
130.0ms
(* (pow (* d1 -1) 1/3) (cbrt -1))
107.0ms
(* (pow (cbrt -1) 2) (pow (pow d1 2) 1/3))
104.0ms
(* (pow (* d1 -1) 1/3) (cbrt -1))
81.0ms
(* (* (cbrt (cbrt d1)) (cbrt (cbrt d1))) (* (cbrt (cbrt d1)) (cbrt (cbrt d1))))

prune770.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.6b
(cbrt d1)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 48
Calls
4 calls:
Slowest
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
318.0ms
(cbrt d1)
293.0ms
(cbrt d1)
289.0ms
(cbrt d1)
264.0ms
(cbrt d1)

simplify701.0ms

Counts
24 → 60
Calls
24 calls:
Slowest
149.0ms
(* (pow (* d1 -1) 1/3) (cbrt -1))
131.0ms
(* (pow (* d1 -1) 1/3) (cbrt -1))
127.0ms
(* (pow (* d1 -1) 1/3) (cbrt -1))
119.0ms
(* (pow (* d1 -1) 1/3) (cbrt -1))
35.0ms
(pow (/ 1 d1) -1/3)

prune671.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* d1 (sqrt (+ d3 (+ 3 d2)))) (sqrt (+ d3 (+ 3 d2))))
0.2b
(* d1 (sqrt (+ d3 (+ 3 d2))))
0.0b
(sqrt (+ d3 (+ 3 d2)))
0.0b
(sqrt (+ d3 (+ 3 d2)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 95
Calls
4 calls:
Slowest
74.0ms
(* (* d1 (sqrt (+ d3 (+ 3 d2)))) (sqrt (+ d3 (+ 3 d2))))
34.0ms
(* d1 (sqrt (+ d3 (+ 3 d2))))
14.0ms
(sqrt (+ d3 (+ 3 d2)))
14.0ms
(sqrt (+ d3 (+ 3 d2)))

series265.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
115.0ms
(* d1 (sqrt (+ d3 (+ 3 d2))))
57.0ms
(sqrt (+ d3 (+ 3 d2)))
57.0ms
(sqrt (+ d3 (+ 3 d2)))
34.0ms
(* (* d1 (sqrt (+ d3 (+ 3 d2)))) (sqrt (+ d3 (+ 3 d2))))

simplify6.5s

Counts
75 → 107
Calls
75 calls:
Slowest
616.0ms
(* (* (* d1 d1) d1) (* (* (sqrt (+ d3 (+ 3 d2))) (sqrt (+ d3 (+ 3 d2)))) (sqrt (+ d3 (+ 3 d2)))))
411.0ms
(* (* d1 (sqrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2))))) (sqrt (+ (pow d3 3) (pow (+ 3 d2) 3))))
319.0ms
(* (sqrt (+ (* d3 d3) (- (* (+ 3 d2) (+ 3 d2)) (* d3 (+ 3 d2))))) (sqrt (- d3 (+ 3 d2))))
311.0ms
(* (* d1 (sqrt (+ (pow d3 3) (pow (+ 3 d2) 3)))) (sqrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2)))))
297.0ms
(* (* (* (* d1 d1) d1) (* (* (sqrt (+ d3 (+ 3 d2))) (sqrt (+ d3 (+ 3 d2)))) (sqrt (+ d3 (+ 3 d2))))) (* (* (sqrt (+ d3 (+ 3 d2))) (sqrt (+ d3 (+ 3 d2)))) (sqrt (+ d3 (+ 3 d2)))))

prune945.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s9559×body80valid
76.0ms213×body640valid
43.0ms90×body1280valid
34.0ms134×body320valid
16.0ms93×body160valid