Details

Time bar (total: 35.2s)

sample63.0ms

Algorithm
intervals
Results
34.0ms385×body80valid

simplify20.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
01115
13713
21829
38279
429509
done50009

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (- d2 d3) d4) d1)
0.0b
(* d1 (- (+ (- d2 d3) d4) d1))

rewrite465.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
11×add-log-exp
10×add-sqr-sqrt
8×distribute-lft-out--
7×associate-*r*
4×pow1 add-exp-log add-cube-cbrt diff-log add-cbrt-cube distribute-lft-out
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* associate--l+
2×flip3-- associate-*r/ sum-log flip-- difference-of-squares
1×associate--l- associate-+l- pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 50
Calls
2 calls:
158.0ms
(- (+ (- d2 d3) d4) d1)
305.0ms
(* d1 (- (+ (- d2 d3) d4) d1))

series90.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (+ (- d2 d3) d4) d1)
53.0ms
(* d1 (- (+ (- d2 d3) d4) d1))

simplify1.3s

Counts
56 → 56
Iterations

Useful iterations: done (1.3s)

IterNodesCost
088611
1477590
done5001532

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.0b
(- (* d1 d2) (* d1 d3))
0.0b
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
6×diff-log
4×add-sqr-sqrt sum-log
3×pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube
2×associate-+l- associate-+l+ flip3-- flip--
1×+-commutative associate--l- flip3-+ associate--l+ flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 45
Calls
3 calls:
29.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
8.0ms
(- (* d1 d2) (* d1 d3))
147.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series140.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
42.0ms
(- (* d1 d2) (* d1 d3))
58.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

simplify587.0ms

Counts
54 → 54
Iterations

Useful iterations: done (585.0ms)

IterNodesCost
088867
1585609
done5001541

prune122.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (+ (- d2 d3) d4) d1)) (cbrt (- (+ (- d2 d3) d4) d1)))
0.5b
(cbrt (- (+ (- d2 d3) d4) d1))
0.5b
(cbrt (- (+ (- d2 d3) d4) d1))
0.5b
(cbrt (- (+ (- d2 d3) d4) d1))

rewrite715.0ms

Algorithm
rewrite-expression-head
Rules
138×*-un-lft-identity
77×cbrt-prod
52×distribute-lft-out--
37×add-sqr-sqrt
26×distribute-lft-out
22×swap-sqr
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×associate-*r* associate-*l*
9×flip3-- pow1/3 flip--
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 123
Calls
4 calls:
515.0ms
(* (cbrt (- (+ (- d2 d3) d4) d1)) (cbrt (- (+ (- d2 d3) d4) d1)))
63.0ms
(cbrt (- (+ (- d2 d3) d4) d1))
64.0ms
(cbrt (- (+ (- d2 d3) d4) d1))
67.0ms
(cbrt (- (+ (- d2 d3) d4) d1))

series898.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(* (cbrt (- (+ (- d2 d3) d4) d1)) (cbrt (- (+ (- d2 d3) d4) d1)))
229.0ms
(cbrt (- (+ (- d2 d3) d4) d1))
227.0ms
(cbrt (- (+ (- d2 d3) d4) d1))
231.0ms
(cbrt (- (+ (- d2 d3) d4) d1))

simplify2.8s

Counts
135 → 135
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01232636
16522435
done50002121

prune289.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ d1 (sqrt (* d1 (- (+ d4 d2) d3))))
0.2b
(* (+ d1 (sqrt (* d1 (- (+ d4 d2) d3)))) (- (sqrt (* d1 (- (+ d4 d2) d3))) d1))
0.8b
(sqrt (* d1 (- (+ d4 d2) d3)))
0.8b
(sqrt (* d1 (- (+ d4 d2) d3)))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×pow1 *-un-lft-identity
6×add-exp-log add-cube-cbrt associate-*r/ associate-*r* add-cbrt-cube add-log-exp
5×flip3-- associate-*l* sqrt-prod flip--
4×frac-times sqrt-pow1 flip3-+ sqrt-div flip-+ distribute-lft-out
3×pow-prod-down
2×distribute-rgt-in sub-neg distribute-lft-in pow1/2 associate-*l/ distribute-lft-out--
1×+-commutative prod-exp sum-log *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 74
Calls
4 calls:
5.0ms
(+ d1 (sqrt (* d1 (- (+ d4 d2) d3))))
133.0ms
(* (+ d1 (sqrt (* d1 (- (+ d4 d2) d3)))) (- (sqrt (* d1 (- (+ d4 d2) d3))) d1))
24.0ms
(sqrt (* d1 (- (+ d4 d2) d3)))
20.0ms
(sqrt (* d1 (- (+ d4 d2) d3)))

series4.2s

Counts
4 → 12
Calls
4 calls:
216.0ms
(+ d1 (sqrt (* d1 (- (+ d4 d2) d3))))
3.4s
(* (+ d1 (sqrt (* d1 (- (+ d4 d2) d3)))) (- (sqrt (* d1 (- (+ d4 d2) d3))) d1))
280.0ms
(sqrt (* d1 (- (+ d4 d2) d3)))
217.0ms
(sqrt (* d1 (- (+ d4 d2) d3)))

simplify997.0ms

Counts
86 → 86
Iterations

Useful iterations: done (995.0ms)

IterNodesCost
01572020
110861601
done50001436

prune224.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample1.4s

Algorithm
intervals
Results
917.0ms11953×body80valid