Details

Time bar (total: 11.0s)

sample43.0ms

Algorithm
intervals
Results
18.0ms307×body80valid
1.0ms5×body640valid
1.0ms5×body320valid
0.0ms4×body160valid

simplify52.0ms

Counts
1 → 1

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (+ 3.0 d2) d3))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
145.0ms
(* d1 (+ (+ 3.0 d2) d3))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify1.5s

Counts
27 → 27

prune52.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (+ 3.0 d2))
0.0b
(+ (* d1 (+ 3.0 d2)) (* d1 d3))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
22.0ms
(* d1 (+ 3.0 d2))
13.0ms
(+ (* d1 (+ 3.0 d2)) (* d1 d3))

series107.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* d1 (+ 3.0 d2))
64.0ms
(+ (* d1 (+ 3.0 d2)) (* d1 d3))

simplify484.0ms

Counts
43 → 43

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 3.0 d2))
0.2b
(cbrt (+ 3.0 d2))
0.2b
(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
0.4b
(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
36×cbrt-prod *-un-lft-identity
35×flip3-+ flip-+
34×associate-*r/
32×frac-times
24×add-sqr-sqrt
20×pow1
16×add-cube-cbrt associate-*l/
15×add-exp-log
14×associate-*r*
9×swap-sqr distribute-lft-out
8×pow1/3 associate-*l* pow-prod-down add-cbrt-cube
7×prod-exp cbrt-unprod
4×add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 132
Calls
4 calls:
8.0ms
(cbrt (+ 3.0 d2))
8.0ms
(cbrt (+ 3.0 d2))
74.0ms
(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
203.0ms
(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))

series776.0ms

Counts
4 → 12
Calls
4 calls:
468.0ms
(cbrt (+ 3.0 d2))
124.0ms
(cbrt (+ 3.0 d2))
139.0ms
(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
45.0ms
(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))

simplify1.1s

Counts
144 → 144

prune395.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 3.0 d2))
0.3b
(* (* d1 (* (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))
1.5b
(/ (* (* d1 (* (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2))) (cbrt (- 3.0 d2)))
8.3b
(cbrt (- (* 3.0 3.0) (* d2 d2)))

rewrite527.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
64×associate-*r/
56×frac-times
36×flip3-+ flip-+
28×associate-*l/
27×add-exp-log
26×associate-/l/
23×cbrt-prod
21×flip3-- flip--
20×*-un-lft-identity
18×add-sqr-sqrt
13×pow1 add-cbrt-cube
12×add-cube-cbrt prod-exp cbrt-unprod
8×times-frac associate-/r*
7×associate-*r*
6×pow-prod-down
4×cbrt-undiv div-exp add-log-exp difference-of-squares
3×distribute-lft-out--
2×pow1/3 associate-/r/
1×frac-2neg associate-*l* clear-num *-commutative div-inv distribute-lft-out associate-/l*
Counts
4 → 143
Calls
4 calls:
8.0ms
(cbrt (- 3.0 d2))
243.0ms
(* (* d1 (* (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))
249.0ms
(/ (* (* d1 (* (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2))) (cbrt (- 3.0 d2)))
13.0ms
(cbrt (- (* 3.0 3.0) (* d2 d2)))

series1.0s

Counts
4 → 12
Calls
4 calls:
115.0ms
(cbrt (- 3.0 d2))
274.0ms
(* (* d1 (* (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))
343.0ms
(/ (* (* d1 (* (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2))) (cbrt (- 3.0 d2)))
274.0ms
(cbrt (- (* 3.0 3.0) (* d2 d2)))

simplify1.9s

Counts
155 → 155

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes120.0ms

Accuracy

6.7% (0.0b remaining)

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

bsearch0.0ms

simplify67.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
619.0ms9574×body80valid
36.0ms210×body640valid
19.0ms164×body320valid
16.0ms72×body1280valid
7.0ms82×body160valid