Details

Time bar (total: 15.4s)

sample27.0ms

Algorithm
intervals
Results
11.0ms392×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
01115
12513
26911
31889
44109
56939
69469
712639
815109
915959
done15959

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite181.0ms

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:
141.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
8.0ms
(- (* d1 d2) (* d1 d3))
31.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series137.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
39.0ms
(- (* d1 d2) (* d1 d3))
42.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify2.1s

Counts
54 → 54
Iterations

Useful iterations: 3 (835.0ms)

IterNodesCost
088867
1255659
2941547
34670527
done5000527

prune117.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
6×add-sqr-sqrt
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/ associate--l+ distribute-lft-out distribute-lft-out--
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
2 → 39
Calls
2 calls:
22.0ms
(- (* d1 (+ d4 (- d2 d3))) (* d1 d1))
54.0ms
(* d1 (+ d4 (- d2 d3)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- (* d1 (+ d4 (- d2 d3))) (* d1 d1))
35.0ms
(* d1 (+ d4 (- d2 d3)))

simplify1.7s

Counts
45 → 45
Iterations

Useful iterations: 3 (629.0ms)

IterNodesCost
078538
1216468
2706420
33609416
done5002416

prune88.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt d1) (+ d4 (- d2 d3)))
0.2b
(* (sqrt d1) (* (sqrt d1) (+ d4 (- d2 d3))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity associate-*l*
11×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×associate-*r/ associate-*r*
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-+ *-commutative flip-+ distribute-lft-out add-log-exp unswap-sqr
1×distribute-lft-out--
Counts
2 → 55
Calls
2 calls:
55.0ms
(* (sqrt d1) (+ d4 (- d2 d3)))
60.0ms
(* (sqrt d1) (* (sqrt d1) (+ d4 (- d2 d3))))

series151.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(* (sqrt d1) (+ d4 (- d2 d3)))
57.0ms
(* (sqrt d1) (* (sqrt d1) (+ d4 (- d2 d3))))

simplify2.6s

Counts
61 → 61
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
091774
1245624
2940542
34749536
done5001536

prune120.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

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)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr 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 → 73
Calls
4 calls:
11.0ms
(* (cbrt d1) (cbrt d1))
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)

series721.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt d1) (cbrt d1))
176.0ms
(cbrt d1)
172.0ms
(cbrt d1)
177.0ms
(cbrt d1)

simplify3.4s

Counts
85 → 85
Iterations

Useful iterations: done (3.4s)

IterNodesCost
061524
1115417
2319397
31092379
44423374
done5000364

prune281.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11515
done1515

end0.0ms

sample770.0ms

Algorithm
intervals
Results
367.0ms11900×body80valid