Details

Time bar (total: 45.1s)

sample50.0ms

Algorithm
intervals
Results
30.0ms290×body80valid
2.0ms3×body1280valid
1.0ms5×body320valid
1.0ms3×body640valid
1.0ms3×body160valid

simplify88.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
88.0ms
(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))

prune16.0ms

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)))

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)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
51.0ms
(* d1 (+ d3 (+ 3 d2)))

simplify1.4s

Counts
19 → 28
Calls
19 calls:
Slowest
717.0ms
(* (* (* d1 d1) d1) (* (* (+ d3 (+ 3 d2)) (+ d3 (+ 3 d2))) (+ d3 (+ 3 d2))))
212.0ms
(+ (* d3 d3) (- (* (+ 3 d2) (+ 3 d2)) (* d3 (+ 3 d2))))
56.0ms
(+ (* d3 d1) (+ (* d2 d1) (* 3 d1)))
55.0ms
(* d1 (+ d3 (+ 3 d2)))
55.0ms
(+ (* d3 d1) (+ (* d2 d1) (* 3 d1)))

prune234.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16
1×associate-+l+
Counts
2 → 28
Calls
2 calls:
Slowest
22.0ms
(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))
15.0ms
(+ (* d1 3) (* d1 d2))

series87.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
44.0ms
(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))
43.0ms
(+ (* d1 3) (* d1 d2))

simplify1.4s

Counts
12 → 34
Calls
12 calls:
Slowest
723.0ms
(* (exp (+ (* d1 3) (* d1 d2))) (exp (* d1 d3)))
253.0ms
(* (exp (* d1 3)) (exp (* d1 d2)))
193.0ms
(* (* (exp (* d1 3)) (exp (* d1 d2))) (exp (* d1 d3)))
80.0ms
(+ (* d2 d1) (+ (* d3 d1) (* 3 d1)))
55.0ms
(+ (* d2 d1) (+ (* d3 d1) (* 3 d1)))

prune291.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))
0.3b
(* (cbrt (+ d3 (+ 3 d2))) (cbrt (+ d3 (+ 3 d2))))

rewrite144.0ms

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
105.0ms
(* (cbrt (+ d3 (+ 3 d2))) (cbrt (+ d3 (+ 3 d2))))
15.0ms
(cbrt (+ d3 (+ 3 d2)))
14.0ms
(cbrt (+ d3 (+ 3 d2)))
7.0ms
(cbrt (+ d3 (+ 3 d2)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
128.0ms
(cbrt (+ d3 (+ 3 d2)))
106.0ms
(cbrt (+ d3 (+ 3 d2)))
105.0ms
(* (cbrt (+ d3 (+ 3 d2))) (cbrt (+ d3 (+ 3 d2))))
93.0ms
(cbrt (+ d3 (+ 3 d2)))

simplify8.5s

Counts
109 → 121
Calls
109 calls:
Slowest
415.0ms
(- (+ (* 2 (pow (/ 1 d3) 1/3)) (pow (/ 1 d3) -2/3)) (pow (/ 1 (pow d3 4)) 1/3))
339.0ms
(* (cbrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2)))) (cbrt (+ (pow d3 3) (pow (+ 3 d2) 3))))
332.0ms
(* (+ d3 (+ 3 d2)) (+ d3 (+ 3 d2)))
329.0ms
(* (cbrt (+ (pow d3 3) (pow (+ 3 d2) 3))) (cbrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2)))))
323.0ms
(* (+ d3 (+ 3 d2)) (+ d3 (+ 3 d2)))

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

22.4b
(cbrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2))))
2.7b
(- (* d3 d3) (* (+ 3 d2) (+ 3 d2)))
0.6b
(/ (cbrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2)))) (cbrt (- d3 (+ 3 d2))))
0.4b
(cbrt (+ d3 (+ 3 d2)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
97×cbrt-prod
87×*-un-lft-identity
63×times-frac
58×add-sqr-sqrt
42×add-cube-cbrt
20×difference-of-squares
16×distribute-lft-out--
11×distribute-lft-out
9×associate-/r*
8×cbrt-div
7×associate-/l*
6×add-exp-log add-log-exp
4×pow1 flip3-- add-cbrt-cube insert-posit16 flip--
2×pow1/3 associate-/r/ associate--r+ associate-/l/
1×distribute-rgt-in cbrt-undiv clear-num sub-neg frac-2neg distribute-lft-in flip3-+ diff-log div-exp flip-+ div-inv
Counts
4 → 143
Calls
4 calls:
Slowest
35.0ms
(/ (cbrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2)))) (cbrt (- d3 (+ 3 d2))))
17.0ms
(cbrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2))))
15.0ms
(- (* d3 d3) (* (+ 3 d2) (+ 3 d2)))
7.0ms
(cbrt (+ d3 (+ 3 d2)))

series535.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
193.0ms
(cbrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2))))
181.0ms
(/ (cbrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2)))) (cbrt (- d3 (+ 3 d2))))
120.0ms
(cbrt (+ d3 (+ 3 d2)))
42.0ms
(- (* d3 d3) (* (+ 3 d2) (+ 3 d2)))

simplify26.8s

Counts
177 → 155
Calls
177 calls:
Slowest
566.0ms
(/ (cbrt (cbrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2))))) (cbrt (- d3 (+ 3 d2))))
364.0ms
(- (+ (pow -9 1/3) (* 2/9 (* d2 (pow -9 1/3)))) (* 1/3 (* (pow d3 2) (pow -1/81 1/3))))
343.0ms
(- (pow (/ 1 d3) -2/3) (* 3 (pow (/ 1 (pow d3 4)) 1/3)))
320.0ms
(- (pow (/ -1 d3) -2/3) (* 3 (pow (/ 1 (pow d3 4)) 1/3)))
302.0ms
(/ (sqrt (cbrt (- (* d3 d3) (* (+ 3 d2) (+ 3 d2))))) (* (cbrt (cbrt (- d3 (+ 3 d2)))) (cbrt (cbrt (- d3 (+ 3 d2))))))

prune1.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
974.0ms9589×body80valid
61.0ms179×body640valid
54.0ms154×body320valid
38.0ms92×body1280valid
16.0ms97×body160valid