Details

Time bar (total: 10.6s)

sample42.0ms

Algorithm
intervals
Results
18.0ms385×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
01115
12513
26911
31939
45869
530979
done50019

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite240.0ms

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:
181.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
39.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
16.0ms
(- (* d1 d2) (* d1 d3))

series208.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
42.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
71.0ms
(- (* d1 d2) (* d1 d3))

simplify1.1s

Counts
54 → 54
Iterations

Useful iterations: 2 (293.0ms)

IterNodesCost
088867
1272689
21593571
done5001571

prune175.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
7×associate-*r*
6×associate-*r/
5×add-sqr-sqrt
4×flip3-- frac-add flip-- distribute-lft-out distribute-lft-out--
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
158.0ms
(* d1 (+ (- d4 d1) (- d2 d3)))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* d1 (+ (- d4 d1) (- d2 d3)))

simplify878.0ms

Counts
33 → 33
Iterations

Useful iterations: 2 (282.0ms)

IterNodesCost
091459
1314432
21565398
done5000398

prune93.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (- d4 d1) (- d2 d3))) (cbrt (+ (- d4 d1) (- d2 d3))))
0.6b
(cbrt (+ (- d4 d1) (- d2 d3)))
0.6b
(cbrt (+ (- d4 d1) (- d2 d3)))
0.6b
(cbrt (+ (- d4 d1) (- d2 d3)))

rewrite498.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
102×cbrt-div
93×cbrt-prod
68×flip3-- frac-add flip--
60×distribute-lft-out distribute-lft-out--
36×frac-times
30×swap-sqr
23×add-sqr-sqrt
17×flip3-+ flip-+
15×add-cube-cbrt
11×pow1
10×associate-*r* associate-*l*
9×pow1/3
6×add-exp-log associate-*r/ associate-*l/
4×add-cbrt-cube 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 → 183
Calls
4 calls:
296.0ms
(* (cbrt (+ (- d4 d1) (- d2 d3))) (cbrt (+ (- d4 d1) (- d2 d3))))
60.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))
54.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))
55.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))

series1.3s

Counts
4 → 12
Calls
4 calls:
350.0ms
(* (cbrt (+ (- d4 d1) (- d2 d3))) (cbrt (+ (- d4 d1) (- d2 d3))))
329.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))
299.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))
328.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))

simplify1.0s

Counts
195 → 195
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02296504
14975959
217835845
done50015610

prune793.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11515
done1515

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s11813×body80valid