Details

Time bar (total: 13.6s)

sample61.0ms

Algorithm
intervals
Results
33.0ms312×body80valid
5.0ms12×body640valid
2.0ms3×body1280valid
1.0ms4×body320valid
0.0ms1×body160valid

simplify73.0ms

Counts
1 → 1
Iterations
IterNodes
682
582
481
370
244
119
09

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
78.0ms
(* (+ d2 (+ 3 d3)) d1)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (+ d2 (+ 3 d3)) d1)

simplify1.2s

Counts
28 → 28
Iterations
IterNodes
32734
2514
1132
050

prune150.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ d2 (+ 3 d3)) d1)) (cbrt (* (+ d2 (+ 3 d3)) d1)))
0.6b
(cbrt (* (+ d2 (+ 3 d3)) d1))
0.6b
(cbrt (* (+ d2 (+ 3 d3)) d1))
0.6b
(cbrt (* (+ d2 (+ 3 d3)) d1))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 84
Calls
4 calls:
37.0ms
(* (cbrt (* (+ d2 (+ 3 d3)) d1)) (cbrt (* (+ d2 (+ 3 d3)) d1)))
34.0ms
(cbrt (* (+ d2 (+ 3 d3)) d1))
22.0ms
(cbrt (* (+ d2 (+ 3 d3)) d1))
21.0ms
(cbrt (* (+ d2 (+ 3 d3)) d1))

series962.0ms

Counts
4 → 12
Calls
4 calls:
308.0ms
(* (cbrt (* (+ d2 (+ 3 d3)) d1)) (cbrt (* (+ d2 (+ 3 d3)) d1)))
218.0ms
(cbrt (* (+ d2 (+ 3 d3)) d1))
243.0ms
(cbrt (* (+ d2 (+ 3 d3)) d1))
193.0ms
(cbrt (* (+ d2 (+ 3 d3)) d1))

simplify1.2s

Counts
96 → 96
Iterations
IterNodes
33290
21050
1406
0159

prune572.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3 d3) (+ 3 d3))
2.0b
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
6.9b
(* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1)
17.6b
(/ (* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1) (- d2 (+ 3 d3)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-cbrt-cube add-exp-log
12×add-cube-cbrt
8×associate-*l* distribute-lft-out
7×associate-*r*
6×associate-/r* flip3-+ times-frac swap-sqr associate-*l/ flip-+ add-log-exp
4×expm1-log1p-u frac-times flip3-- insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
3×prod-exp cbrt-unprod
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp pow-prod-down associate-*r/ associate-/r/ *-commutative associate--r+ unswap-sqr associate-/l/
1×pow2 clear-num sub-neg frac-2neg pow-plus fma-neg diff-log prod-diff pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 121
Calls
4 calls:
30.0ms
(* (+ 3 d3) (+ 3 d3))
9.0ms
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
40.0ms
(* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1)
43.0ms
(/ (* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1) (- d2 (+ 3 d3)))

series279.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (+ 3 d3) (+ 3 d3))
61.0ms
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
82.0ms
(* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1)
115.0ms
(/ (* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1) (- d2 (+ 3 d3)))

simplify1.2s

Counts
133 → 133
Iterations
IterNodes
22240
1584
0192

prune648.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (* d2 d2) (cbrt (* (* (* (+ 3 d3) (+ 3 d3)) (* (+ 3 d3) (+ 3 d3))) (* (+ 3 d3) (+ 3 d3)))))
6.9b
(* (- (* d2 d2) (cbrt (* (* (* (+ 3 d3) (+ 3 d3)) (* (+ 3 d3) (+ 3 d3))) (* (+ 3 d3) (+ 3 d3))))) d1)
10.4b
(cbrt (* (* (* (+ 3 d3) (+ 3 d3)) (* (+ 3 d3) (+ 3 d3))) (* (+ 3 d3) (+ 3 d3))))
17.6b
(/ (* (- (* d2 d2) (cbrt (* (* (* (+ 3 d3) (+ 3 d3)) (* (+ 3 d3) (+ 3 d3))) (* (+ 3 d3) (+ 3 d3))))) d1) (- d2 (+ 3 d3)))

rewrite476.0ms

Algorithm
rewrite-expression-head
Rules
2188×frac-times
1458×flip3-+ flip-+
728×cbrt-div
642×associate-*l/
566×associate-*r/
19×*-un-lft-identity
17×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
9×add-cube-cbrt
6×pow1 associate-/r* times-frac add-log-exp
4×expm1-log1p-u flip3-- associate-*l* prod-diff insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
3×associate-*r*
2×cbrt-prod cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out associate-/l/
1×clear-num sub-neg frac-2neg fma-neg pow1/3 diff-log pow3 pow-prod-down *-commutative rem-cbrt-cube div-inv associate-/l* unswap-sqr
Counts
4 → 820
Calls
4 calls:
8.0ms
(- (* d2 d2) (cbrt (* (* (* (+ 3 d3) (+ 3 d3)) (* (+ 3 d3) (+ 3 d3))) (* (+ 3 d3) (+ 3 d3)))))
25.0ms
(* (- (* d2 d2) (cbrt (* (* (* (+ 3 d3) (+ 3 d3)) (* (+ 3 d3) (+ 3 d3))) (* (+ 3 d3) (+ 3 d3))))) d1)
336.0ms
(cbrt (* (* (* (+ 3 d3) (+ 3 d3)) (* (+ 3 d3) (+ 3 d3))) (* (+ 3 d3) (+ 3 d3))))
48.0ms
(/ (* (- (* d2 d2) (cbrt (* (* (* (+ 3 d3) (+ 3 d3)) (* (+ 3 d3) (+ 3 d3))) (* (+ 3 d3) (+ 3 d3))))) d1) (- d2 (+ 3 d3)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* d2 d2) (cbrt (* (* (* (+ 3 d3) (+ 3 d3)) (* (+ 3 d3) (+ 3 d3))) (* (+ 3 d3) (+ 3 d3)))))
104.0ms
(* (- (* d2 d2) (cbrt (* (* (* (+ 3 d3) (+ 3 d3)) (* (+ 3 d3) (+ 3 d3))) (* (+ 3 d3) (+ 3 d3))))) d1)
23.0ms
(cbrt (* (* (* (+ 3 d3) (+ 3 d3)) (* (+ 3 d3) (+ 3 d3))) (* (+ 3 d3) (+ 3 d3))))
126.0ms
(/ (* (- (* d2 d2) (cbrt (* (* (* (+ 3 d3) (+ 3 d3)) (* (+ 3 d3) (+ 3 d3))) (* (+ 3 d3) (+ 3 d3))))) d1) (- d2 (+ 3 d3)))

simplify2.9s

Counts
832 → 832
Iterations
IterNodes
14924
02183

prune1.0s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
210
110
07

end0.0ms

sample1.8s

Algorithm
intervals
Results
897.0ms9588×body80valid
486.0ms101×body1280valid
70.0ms208×body640valid
38.0ms159×body320valid
13.0ms86×body160valid