Details

Time bar (total: 13.1s)

sample58.0ms

Algorithm
intervals
Results
32.0ms312×body80valid
5.0ms12×body640valid
2.0ms3×body1280valid
1.0ms4×body320valid
0.0ms1×body160valid

simplify95.0ms

Counts
1 → 1
Iterations
IterNodes
done82
582
481
370
244
119
09

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite70.0ms

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

series47.0ms

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

simplify1.0s

Counts
28 → 28
Iterations
IterNodes
done2013
32013
2520
1134
050

prune220.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt d1) (cbrt d1))
0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.6b
(cbrt d1)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
16.0ms
(* (cbrt d1) (cbrt d1))
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)
2.0ms
(cbrt d1)

series1.0s

Counts
4 → 12
Calls
4 calls:
270.0ms
(* (cbrt d1) (cbrt d1))
263.0ms
(cbrt d1)
278.0ms
(cbrt d1)
229.0ms
(cbrt d1)

simplify1.2s

Counts
97 → 97
Iterations
IterNodes
done2011
42011
31110
2364
1141
067

prune845.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite138.0ms

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:
21.0ms
(* (+ 3 d3) (+ 3 d3))
8.0ms
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
43.0ms
(* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1)
65.0ms
(/ (* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1) (- d2 (+ 3 d3)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (+ 3 d3) (+ 3 d3))
44.0ms
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
82.0ms
(* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1)
91.0ms
(/ (* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1) (- d2 (+ 3 d3)))

simplify1.1s

Counts
133 → 133
Iterations
IterNodes
done2001
22001
1591
0192

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (- d2 (+ 3 d3)))
2.0b
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
11.1b
(* (/ (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) (* (cbrt (- d2 (+ 3 d3))) (cbrt (- d2 (+ 3 d3))))) (/ d1 (cbrt (- d2 (+ 3 d3)))))
11.5b
(/ (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) (* (cbrt (- d2 (+ 3 d3))) (cbrt (- d2 (+ 3 d3)))))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
42×times-frac
33×associate-*r*
30×add-exp-log
28×cbrt-div
26×cbrt-prod
25×add-cube-cbrt
21×add-cbrt-cube
18×associate-/r/
16×flip3-- associate-*l* flip--
9×frac-times cbrt-undiv div-exp prod-exp cbrt-unprod
8×distribute-lft-out-- difference-of-squares
6×pow1 add-log-exp unswap-sqr
5×associate-*l/ associate-*r/
4×expm1-log1p-u insert-posit16 log1p-expm1-u distribute-lft-out associate-/l*
3×div-inv
2×associate--r+ associate-/l/
1×distribute-rgt-in clear-num associate-/r* sub-neg frac-2neg distribute-lft-in fma-neg pow1/3 diff-log div-sub prod-diff pow-prod-down *-commutative
Counts
4 → 158
Calls
4 calls:
16.0ms
(cbrt (- d2 (+ 3 d3)))
16.0ms
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
190.0ms
(* (/ (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) (* (cbrt (- d2 (+ 3 d3))) (cbrt (- d2 (+ 3 d3))))) (/ d1 (cbrt (- d2 (+ 3 d3)))))
48.0ms
(/ (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) (* (cbrt (- d2 (+ 3 d3))) (cbrt (- d2 (+ 3 d3)))))

series468.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- d2 (+ 3 d3)))
42.0ms
(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
86.0ms
(* (/ (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) (* (cbrt (- d2 (+ 3 d3))) (cbrt (- d2 (+ 3 d3))))) (/ d1 (cbrt (- d2 (+ 3 d3)))))
198.0ms
(/ (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) (* (cbrt (- d2 (+ 3 d3))) (cbrt (- d2 (+ 3 d3)))))

simplify1.3s

Counts
170 → 170
Iterations
IterNodes
done2000
22000
1930
0311

prune2.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample1.4s

Algorithm
intervals
Results
843.0ms9588×body80valid
90.0ms208×body640valid
59.0ms101×body1280valid
59.0ms159×body320valid
16.0ms86×body160valid