Details

Time bar (total: 9.0s)

sample51.0ms

Algorithm
intervals
Results
26.0ms395×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
53122
4590
3191
269
125
011

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
6×associate-*r*
5×add-sqr-sqrt
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out distribute-lft-out--
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
256.0ms
(* d1 (+ d4 (- (- d2 d1) d3)))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(* d1 (+ d4 (- (- d2 d1) d3)))

simplify400.0ms

Counts
28 → 28
Iterations
IterNodes
done5000
2763
1171
055

prune121.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
8×add-sqr-sqrt
6×associate-*l*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r* distribute-lft-out--
2×associate-*l/
1×+-commutative sum-log flip3-+ distribute-rgt-out flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ flip-- difference-of-squares unswap-sqr
Counts
2 → 35
Calls
2 calls:
96.0ms
(* (- (- d2 d1) d3) d1)
25.0ms
(+ (* d4 d1) (* (- (- d2 d1) d3) d1))

series102.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (- (- d2 d1) d3) d1)
67.0ms
(+ (* d4 d1) (* (- (- d2 d1) d3) d1))

simplify475.0ms

Counts
41 → 41
Iterations
IterNodes
done5000
21002
1204
075

prune151.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite630.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
27×sqrt-prod
21×add-sqr-sqrt
19×associate-*r*
18×sqrt-div
16×distribute-lft-out--
13×pow1
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
8×distribute-lft-out
5×flip3-- flip--
4×frac-times flip3-+ associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+ add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative difference-of-squares unswap-sqr
Counts
4 → 97
Calls
4 calls:
79.0ms
(sqrt (+ d4 (- (- d2 d1) d3)))
79.0ms
(sqrt (- d2 (- (+ d1 d3) d4)))
164.0ms
(* d1 (sqrt (- d2 (- (+ d1 d3) d4))))
306.0ms
(* (* d1 (sqrt (- d2 (- (+ d1 d3) d4)))) (sqrt (+ d4 (- (- d2 d1) d3))))

series563.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(sqrt (+ d4 (- (- d2 d1) d3)))
144.0ms
(sqrt (- d2 (- (+ d1 d3) d4)))
188.0ms
(* d1 (sqrt (- d2 (- (+ d1 d3) d4))))
88.0ms
(* (* d1 (sqrt (- d2 (- (+ d1 d3) d4)))) (sqrt (+ d4 (- (- d2 d1) d3))))

simplify664.0ms

Counts
109 → 109
Iterations
IterNodes
done5001
21918
1482
0186

prune428.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

2.4b
(+ (* d3 d3) (* (- d2 d1) d3))
2.6b
(- (pow (- d2 d1) 3) (pow d3 3))
5.3b
(* d1 (- (pow (- d2 d1) 3) (pow d3 3)))
37.0b
(/ (* d1 (- (pow (- d2 d1) 3) (pow d3 3))) (+ (* (- d2 d1) (- d2 d1)) (+ (* d3 d3) (* (- d2 d1) d3))))

rewrite349.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
52×*-un-lft-identity
32×unpow-prod-down cube-prod difference-of-squares
29×associate-*r*
26×distribute-lft-out--
18×associate-/r/
16×frac-add sqr-pow
15×flip3-- flip--
11×add-cbrt-cube add-exp-log
10×flip3-+ flip-+
8×frac-times associate-*r/ add-cube-cbrt add-log-exp
6×pow1
4×associate-*l/
3×associate-/r* sub-neg times-frac associate-*l*
2×distribute-rgt-in difference-cubes cbrt-undiv distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/
1×+-commutative clear-num sum-log frac-2neg distribute-rgt-out diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 141
Calls
4 calls:
7.0ms
(+ (* d3 d3) (* (- d2 d1) d3))
68.0ms
(- (pow (- d2 d1) 3) (pow d3 3))
160.0ms
(* d1 (- (pow (- d2 d1) 3) (pow d3 3)))
108.0ms
(/ (* d1 (- (pow (- d2 d1) 3) (pow d3 3))) (+ (* (- d2 d1) (- d2 d1)) (+ (* d3 d3) (* (- d2 d1) d3))))

series531.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* d3 d3) (* (- d2 d1) d3))
168.0ms
(- (pow (- d2 d1) 3) (pow d3 3))
182.0ms
(* d1 (- (pow (- d2 d1) 3) (pow d3 3)))
150.0ms
(/ (* d1 (- (pow (- d2 d1) 3) (pow d3 3))) (+ (* (- d2 d1) (- d2 d1)) (+ (* d3 d3) (* (- d2 d1) d3))))

simplify354.0ms

Counts
153 → 153
Iterations
IterNodes
done5000
1924
0270

prune619.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes169.0ms

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
done12
112
09

end0.0ms

sample1.1s

Algorithm
intervals
Results
692.0ms12075×body80valid