Details

Time bar (total: 34.4s)

sample28.0ms

Algorithm
intervals
Results
17.0ms300×body80valid
1.0ms5×body1280valid
1.0ms4×body640valid
0.0ms3×body320valid
0.0ms2×body160valid

simplify63.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
63.0ms
(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite71.0ms

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
70.0ms
(* d1 (+ d3 (+ 3 d2)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
53.0ms
(* d1 (+ d3 (+ 3 d2)))

simplify1.2s

Counts
19 → 28
Calls
19 calls:
Slowest
346.0ms
(* (* (* d1 d1) d1) (* (* (+ d3 (+ 3 d2)) (+ d3 (+ 3 d2))) (+ d3 (+ 3 d2))))
238.0ms
(+ (* d3 d3) (- (* (+ 3 d2) (+ 3 d2)) (* d3 (+ 3 d2))))
83.0ms
(+ (* d3 d1) (+ (* d2 d1) (* 3 d1)))
76.0ms
(* d1 (+ d3 (+ 3 d2)))
69.0ms
(+ (* d3 d1) (+ (* d2 d1) (* 3 d1)))

prune256.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ d3 (+ 3 d2)))
0.4b
(cbrt (+ d3 (+ 3 d2)))
0.4b
(cbrt (+ d3 (+ 3 d2)))
0.4b
(* (cbrt (+ d3 (+ 3 d2))) (cbrt (+ d3 (+ 3 d2))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
Slowest
126.0ms
(* (cbrt (+ d3 (+ 3 d2))) (cbrt (+ d3 (+ 3 d2))))
14.0ms
(cbrt (+ d3 (+ 3 d2)))
9.0ms
(cbrt (+ d3 (+ 3 d2)))
9.0ms
(cbrt (+ d3 (+ 3 d2)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
144.0ms
(cbrt (+ d3 (+ 3 d2)))
131.0ms
(cbrt (+ d3 (+ 3 d2)))
127.0ms
(* (cbrt (+ d3 (+ 3 d2))) (cbrt (+ d3 (+ 3 d2))))
113.0ms
(cbrt (+ d3 (+ 3 d2)))

simplify8.8s

Counts
109 → 121
Calls
109 calls:
Slowest
473.0ms
(- (+ (* 2 (pow (/ 1 d3) 1/3)) (pow (/ 1 d3) -2/3)) (pow (/ 1 (pow d3 4)) 1/3))
399.0ms
(* (+ d3 (+ 3 d2)) (+ d3 (+ 3 d2)))
349.0ms
(* (+ d3 (+ 3 d2)) (+ d3 (+ 3 d2)))
318.0ms
(* (cbrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2)))) (cbrt (+ (pow d3 3) (pow (+ 3 d2) 3))))
305.0ms
(* (cbrt (- d3 (+ 3 d2))) (cbrt (+ (* d3 d3) (- (* (+ 3 d2) (+ 3 d2)) (* d3 (+ 3 d2))))))

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt (+ d3 (+ 3 d2)))) (cbrt (sqrt (+ d3 (+ 3 d2)))))
0.4b
(cbrt (+ d3 (+ 3 d2)))
0.4b
(cbrt (+ d3 (+ 3 d2)))
0.4b
(* (cbrt (+ d3 (+ 3 d2))) (cbrt (+ d3 (+ 3 d2))))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
124×*-un-lft-identity
106×cbrt-prod
56×add-sqr-sqrt
54×distribute-lft-out
40×sqrt-prod
33×swap-sqr
28×cbrt-div
26×add-cube-cbrt
19×associate-*r* associate-*l*
18×pow1
14×flip3-+ pow1/3 flip-+
13×unswap-sqr
12×sqrt-div
8×frac-times add-exp-log
4×add-cbrt-cube pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up insert-posit16 add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 170
Calls
4 calls:
Slowest
123.0ms
(* (cbrt (sqrt (+ d3 (+ 3 d2)))) (cbrt (sqrt (+ d3 (+ 3 d2)))))
103.0ms
(* (cbrt (+ d3 (+ 3 d2))) (cbrt (+ d3 (+ 3 d2))))
8.0ms
(cbrt (+ d3 (+ 3 d2)))
8.0ms
(cbrt (+ d3 (+ 3 d2)))

series511.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(* (cbrt (sqrt (+ d3 (+ 3 d2)))) (cbrt (sqrt (+ d3 (+ 3 d2)))))
130.0ms
(* (cbrt (+ d3 (+ 3 d2))) (cbrt (+ d3 (+ 3 d2))))
124.0ms
(cbrt (+ d3 (+ 3 d2)))
117.0ms
(cbrt (+ d3 (+ 3 d2)))

simplify13.0s

Counts
204 → 182
Calls
204 calls:
Slowest
635.0ms
(* (cbrt (sqrt (+ (* d3 d3) (- (* (+ 3 d2) (+ 3 d2)) (* d3 (+ 3 d2)))))) (cbrt (sqrt (- d3 (+ 3 d2)))))
382.0ms
(- (+ (* 2 (pow (/ 1 d3) 1/3)) (pow (/ 1 d3) -2/3)) (pow (/ 1 (pow d3 4)) 1/3))
371.0ms
(* (cbrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2)))) (cbrt (+ (pow d3 3) (pow (+ 3 d2) 3))))
361.0ms
(* (cbrt (sqrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2))))) (cbrt (sqrt (+ (pow d3 3) (pow (+ 3 d2) 3)))))
357.0ms
(* (cbrt (+ (pow d3 3) (pow (+ 3 d2) 3))) (cbrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2)))))

prune2.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt d1) (+ d3 (+ 3 d2)))
0.1b
(* (sqrt d1) (* (sqrt d1) (+ d3 (+ 3 d2))))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*l*
11×add-sqr-sqrt
9×pow1 add-cbrt-cube add-exp-log
7×add-cube-cbrt sqrt-prod
6×associate-*r* associate-*r/
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×flip3-+ *-commutative flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
2 → 57
Calls
2 calls:
Slowest
72.0ms
(* (sqrt d1) (* (sqrt d1) (+ d3 (+ 3 d2))))
62.0ms
(* (sqrt d1) (+ d3 (+ 3 d2)))

series197.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
118.0ms
(* (sqrt d1) (+ d3 (+ 3 d2)))
79.0ms
(* (sqrt d1) (* (sqrt d1) (+ d3 (+ 3 d2))))

simplify3.2s

Counts
45 → 63
Calls
45 calls:
Slowest
540.0ms
(* (* (* (sqrt d1) (sqrt d1)) (sqrt d1)) (* (* (* (sqrt d1) (+ d3 (+ 3 d2))) (* (sqrt d1) (+ d3 (+ 3 d2)))) (* (sqrt d1) (+ d3 (+ 3 d2)))))
427.0ms
(* (* (* (sqrt d1) (sqrt d1)) (sqrt d1)) (* (* (* (sqrt d1) (sqrt d1)) (sqrt d1)) (* (* (+ d3 (+ 3 d2)) (+ d3 (+ 3 d2))) (+ d3 (+ 3 d2)))))
294.0ms
(* (* (* (sqrt d1) (sqrt d1)) (sqrt d1)) (* (* (+ d3 (+ 3 d2)) (+ d3 (+ 3 d2))) (+ d3 (+ 3 d2))))
251.0ms
(+ (* d3 d3) (- (* (+ 3 d2) (+ 3 d2)) (* d3 (+ 3 d2))))
227.0ms
(+ (* d3 d3) (- (* (+ 3 d2) (+ 3 d2)) (* d3 (+ 3 d2))))

prune633.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s9648×body80valid
64.0ms183×body640valid
38.0ms149×body320valid
34.0ms75×body1280valid
16.0ms95×body160valid