Details

Time bar (total: 17.0s)

sample74.0ms

Algorithm
intervals
Results
33.0ms402×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
01115
12513
26911
31939
45869
530979
done50019

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg associate-+l+ *-un-lft-identity diff-log sum-log add-cbrt-cube
+-commutative associate-+l- flip3-- flip3-+ flip-- flip-+ distribute-lft-out--
Counts
2 → 28
Calls
2 calls:
60.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
17.0ms
(- (* d1 d2) (* d1 d3))

series163.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
79.0ms
(- (* d1 d2) (* d1 d3))

simplify1.1s

Counts
34 → 34
Iterations

Useful iterations: done (1.1s)

IterNodesCost
057454
1177354
2844298
done5001292

prune249.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
associate-*r*
pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
associate-*l*
associate-*r/
+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
43.0ms
(* d1 (- d4 d3))
21.0ms
(+ (* d1 d2) (* d1 (- d4 d3)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* d1 (- d4 d3))
80.0ms
(+ (* d1 d2) (* d1 (- d4 d3)))

simplify4.8s

Counts
48 → 48
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
079454
1217390
2819360
34913354
done5001354

prune332.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d1 (+ d2 (- d4 d3)))
0.2b
(* (sqrt (* d1 (+ d2 (- d4 d3)))) (sqrt (* d1 (+ d2 (- d4 d3)))))
0.6b
(sqrt (* d1 (+ d2 (- d4 d3))))
0.6b
(sqrt (* d1 (+ d2 (- d4 d3))))

rewrite450.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×add-cube-cbrt pow-prod-up
flip3-+ associate-*r* flip-+
add-exp-log add-cbrt-cube
associate-*l*
sqrt-prod pow-sqr
frac-times swap-sqr add-log-exp
associate-*l/ prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out--
Counts
4 → 107
Calls
4 calls:
115.0ms
(* d1 (+ d2 (- d4 d3)))
262.0ms
(* (sqrt (* d1 (+ d2 (- d4 d3)))) (sqrt (* d1 (+ d2 (- d4 d3)))))
32.0ms
(sqrt (* d1 (+ d2 (- d4 d3))))
32.0ms
(sqrt (* d1 (+ d2 (- d4 d3))))

series1.4s

Counts
4 → 12
Calls
4 calls:
65.0ms
(* d1 (+ d2 (- d4 d3)))
529.0ms
(* (sqrt (* d1 (+ d2 (- d4 d3)))) (sqrt (* d1 (+ d2 (- d4 d3)))))
426.0ms
(sqrt (* d1 (+ d2 (- d4 d3))))
414.0ms
(sqrt (* d1 (+ d2 (- d4 d3))))

simplify1.9s

Counts
119 → 119
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01351781
13681363
217711243
done50001207

prune663.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes361.0ms

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
01013
11313
done1313

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.2s11971×body80valid