Details

Time bar (total: 49.8s)

sample37.0ms

Algorithm
intervals
Results
22.0ms294×body80valid
2.0ms8×body320valid
1.0ms3×body1280valid
1.0ms4×body640valid
0.0ms2×body160valid

simplify71.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
71.0ms
(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite69.0ms

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
69.0ms
(* d1 (+ d3 (+ 3 d2)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
50.0ms
(* d1 (+ d3 (+ 3 d2)))

simplify1.1s

Counts
19 → 28
Calls
19 calls:
Slowest
368.0ms
(* (* (* d1 d1) d1) (* (* (+ d3 (+ 3 d2)) (+ d3 (+ 3 d2))) (+ d3 (+ 3 d2))))
227.0ms
(+ (* d3 d3) (- (* (+ 3 d2) (+ 3 d2)) (* d3 (+ 3 d2))))
64.0ms
(+ (* d3 d1) (+ (* d2 d1) (* 3 d1)))
58.0ms
(* d1 (+ d3 (+ 3 d2)))
51.0ms
(+ (* d3 d1) (+ (* d2 d1) (* 3 d1)))

prune272.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+ insert-posit16 distribute-lft-out
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
Slowest
24.0ms
(* d1 (+ 3 d2))
15.0ms
(+ (* d1 d3) (* d1 (+ 3 d2)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
49.0ms
(* d1 (+ 3 d2))
48.0ms
(+ (* d1 d3) (* d1 (+ 3 d2)))

simplify976.0ms

Counts
25 → 45
Calls
25 calls:
Slowest
382.0ms
(* (exp (* d1 d3)) (exp (* d1 (+ 3 d2))))
174.0ms
(* (* (* d1 d1) d1) (* (* (+ 3 d2) (+ 3 d2)) (+ 3 d2)))
92.0ms
(+ (* 3 3) (- (* d2 d2) (* 3 d2)))
63.0ms
(+ (* d3 d1) (+ (* d2 d1) (* 3 d1)))
55.0ms
(+ (* d3 d1) (+ (* d2 d1) (* 3 d1)))

prune382.0ms

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
(* (* d1 (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))) (cbrt (+ 3 d2)))
0.3b
(cbrt (+ 3 d2))
0.3b
(cbrt (+ 3 d2))
0.3b
(cbrt (+ 3 d2))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×flip3-+ flip-+
28×frac-times
17×*-un-lft-identity
16×cbrt-prod
14×associate-*l/
13×pow1 add-exp-log
9×add-sqr-sqrt add-cube-cbrt
8×add-cbrt-cube
7×associate-*r*
6×pow-prod-down prod-exp cbrt-unprod
4×insert-posit16 distribute-lft-out add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 97
Calls
4 calls:
Slowest
122.0ms
(* (* d1 (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))) (cbrt (+ 3 d2)))
5.0ms
(cbrt (+ 3 d2))
5.0ms
(cbrt (+ 3 d2))
5.0ms
(cbrt (+ 3 d2))

series225.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
66.0ms
(cbrt (+ 3 d2))
56.0ms
(cbrt (+ 3 d2))
55.0ms
(* (* d1 (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))) (cbrt (+ 3 d2)))
48.0ms
(cbrt (+ 3 d2))

simplify12.8s

Counts
88 → 109
Calls
88 calls:
Slowest
502.0ms
(* (* d1 (* (cbrt (+ 3 d2)) (cbrt (+ (pow 3 3) (pow d2 3))))) (cbrt (+ (pow 3 3) (pow d2 3))))
499.0ms
(* (* d1 (* (cbrt (+ 3 d2)) (cbrt (+ (pow 3 3) (pow d2 3))))) (cbrt (+ 3 d2)))
480.0ms
(* (* d1 (* (cbrt (+ (pow 3 3) (pow d2 3))) (cbrt (+ 3 d2)))) (cbrt (+ 3 d2)))
478.0ms
(* (* d1 (* (cbrt (+ (pow 3 3) (pow d2 3))) (cbrt (+ (pow 3 3) (pow d2 3))))) (cbrt (+ (pow 3 3) (pow d2 3))))
447.0ms
(* (* d1 (* (cbrt (+ (pow 3 3) (pow d2 3))) (cbrt (+ (pow 3 3) (pow d2 3))))) (cbrt (+ 3 d2)))

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

16.3b
(cbrt (+ 27 (* d2 (* d2 d2))))
10.0b
(cbrt (+ (* 3 3) (- (* d2 d2) (* 3 d2))))
4.3b
(/ (* d1 (* (cbrt (+ 3 d2)) (* (cbrt (+ 3 d2)) (cbrt (+ 27 (* d2 (* d2 d2))))))) (cbrt (+ (* 3 3) (- (* d2 d2) (* 3 d2)))))
4.3b
(* d1 (* (cbrt (+ 3 d2)) (* (cbrt (+ 3 d2)) (cbrt (+ 27 (* d2 (* d2 d2)))))))

rewrite327.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
80×associate-*r/
57×flip3-+ flip-+
56×frac-times
27×add-exp-log
26×associate-/l/
16×associate-*l/
15×add-cbrt-cube
13×pow1
12×cbrt-prod prod-exp cbrt-unprod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-/r* times-frac pow-prod-down
4×cbrt-undiv div-exp insert-posit16 add-log-exp
3×associate-*l*
2×pow1/3 associate-/r/
1×clear-num frac-2neg associate-*r* *-commutative div-inv associate-/l*
Counts
4 → 136
Calls
4 calls:
Slowest
154.0ms
(/ (* d1 (* (cbrt (+ 3 d2)) (* (cbrt (+ 3 d2)) (cbrt (+ 27 (* d2 (* d2 d2))))))) (cbrt (+ (* 3 3) (- (* d2 d2) (* 3 d2)))))
152.0ms
(* d1 (* (cbrt (+ 3 d2)) (* (cbrt (+ 3 d2)) (cbrt (+ 27 (* d2 (* d2 d2)))))))
10.0ms
(cbrt (+ (* 3 3) (- (* d2 d2) (* 3 d2))))
4.0ms
(cbrt (+ 27 (* d2 (* d2 d2))))

series889.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
364.0ms
(cbrt (+ 27 (* d2 (* d2 d2))))
298.0ms
(/ (* d1 (* (cbrt (+ 3 d2)) (* (cbrt (+ 3 d2)) (cbrt (+ 27 (* d2 (* d2 d2))))))) (cbrt (+ (* 3 3) (- (* d2 d2) (* 3 d2)))))
154.0ms
(* d1 (* (cbrt (+ 3 d2)) (* (cbrt (+ 3 d2)) (cbrt (+ 27 (* d2 (* d2 d2)))))))
74.0ms
(cbrt (+ (* 3 3) (- (* d2 d2) (* 3 d2))))

simplify26.6s

Counts
114 → 148
Calls
114 calls:
Slowest
697.0ms
(* d1 (* (cbrt (+ (pow 3 3) (pow d2 3))) (* (cbrt (- (* 3 3) (* d2 d2))) (cbrt (- (* 27 27) (* (* d2 (* d2 d2)) (* d2 (* d2 d2))))))))
554.0ms
(* d1 (* (cbrt (+ 3 d2)) (* (cbrt (+ (pow 3 3) (pow d2 3))) (cbrt (+ 27 (* d2 (* d2 d2)))))))
539.0ms
(cbrt (+ (pow (* 3 3) 3) (pow (- (* d2 d2) (* 3 d2)) 3)))
518.0ms
(- (+ (* 9 (/ (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 d2)))))) (pow d2 3))) (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 d2))))))) (* 81 (/ (exp (* 1/3 (- (log -1) (* 3 (log (/ -1 d2)))))) (pow d2 6))))
494.0ms
(* d1 (* (cbrt (+ (pow 3 3) (pow d2 3))) (* (cbrt (+ 3 d2)) (cbrt (+ 27 (* d2 (* d2 d2)))))))

prune2.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s9558×body80valid
78.0ms109×body1280valid
56.0ms200×body640valid
31.0ms154×body320valid
14.0ms98×body160valid