Details

Time bar (total: 17.1s)

sample31.0ms

Algorithm
intervals
Results
12.0ms384×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (37.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite194.0ms

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:
191.0ms
(* d1 (+ (- d4 d1) (- d2 d3)))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(* d1 (+ (- d4 d1) (- d2 d3)))

simplify847.0ms

Counts
33 → 33
Iterations

Useful iterations: done (846.0ms)

IterNodesCost
091459
1294432
21093396
done5000380

prune117.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

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))

rewrite280.0ms

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:
203.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
13.0ms
(- (* d1 d2) (* d1 d3))
61.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series200.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
54.0ms
(- (* d1 d2) (* d1 d3))
73.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify3.4s

Counts
54 → 54
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
088867
1255659
2941547
34670527
done5000527

prune241.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

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)))

rewrite475.0ms

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:
340.0ms
(* (cbrt (+ (- d4 d1) (- d2 d3))) (cbrt (+ (- d4 d1) (- d2 d3))))
32.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))
36.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))
38.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))

series1.4s

Counts
4 → 12
Calls
4 calls:
319.0ms
(* (cbrt (+ (- d4 d1) (- d2 d3))) (cbrt (+ (- d4 d1) (- d2 d3))))
332.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))
361.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))
357.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))

simplify1.1s

Counts
195 → 195
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02296504
14655959
213715845
done50005304

prune724.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (- d4 d1) (- d2 d3)))
0.0b
(sqrt (+ (- d4 d1) (- d2 d3)))
0.1b
(* (* d1 (sqrt (+ (- d4 d1) (- d2 d3)))) (sqrt (+ (- d4 d1) (- d2 d3))))
0.2b
(* d1 (sqrt (+ (- d4 d1) (- d2 d3))))

rewrite675.0ms

Algorithm
rewrite-expression-head
Rules
102×sqrt-div
68×flip3-- frac-add flip--
59×*-un-lft-identity
54×associate-*r/
36×frac-times
29×sqrt-prod
20×associate-*r*
17×add-sqr-sqrt flip3-+ flip-+
16×distribute-lft-out distribute-lft-out--
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*l/
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 151
Calls
4 calls:
65.0ms
(sqrt (+ (- d4 d1) (- d2 d3)))
97.0ms
(sqrt (+ (- d4 d1) (- d2 d3)))
314.0ms
(* (* d1 (sqrt (+ (- d4 d1) (- d2 d3)))) (sqrt (+ (- d4 d1) (- d2 d3))))
186.0ms
(* d1 (sqrt (+ (- d4 d1) (- d2 d3))))

series728.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(sqrt (+ (- d4 d1) (- d2 d3)))
222.0ms
(sqrt (+ (- d4 d1) (- d2 d3)))
61.0ms
(* (* d1 (sqrt (+ (- d4 d1) (- d2 d3)))) (sqrt (+ (- d4 d1) (- d2 d3))))
233.0ms
(* d1 (sqrt (+ (- d4 d1) (- d2 d3))))

simplify1.2s

Counts
163 → 163
Iterations

Useful iterations: 2 (452.0ms)

IterNodesCost
02515771
16905025
218564741
done50024741

prune629.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes182.0ms

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

sample1.2s

Algorithm
intervals
Results
543.0ms11842×body80valid