Details

Time bar (total: 11.9s)

sample24.0ms

Algorithm
intervals
Results
11.0ms368×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (17.0ms)

IterNodesCost
01115
12513
26811
31819
43899
56799
69129
713499
816519
916649
done16649

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

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:
2.0ms
(- (* d1 d2) (* d1 d3))
61.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
12.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series127.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (* d1 d2) (* d1 d3))
54.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
37.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify1.8s

Counts
54 → 54
Iterations

Useful iterations: 3 (474.0ms)

IterNodesCost
088867
1256659
2942547
33943527
done5001527

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-log-exp
7×add-sqr-sqrt
5×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
4×distribute-lft-out
3×associate-*l* distribute-lft-out--
2×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in flip3-+ diff-log associate-*r/ associate--l+ sum-log flip-+
1×+-commutative associate-+r- flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 56
Calls
3 calls:
9.0ms
(- (* d1 (+ d4 (- d2 d3))) (* d1 d1))
7.0ms
(+ d4 (- d2 d3))
27.0ms
(* d1 (+ d4 (- d2 d3)))

series103.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- (* d1 (+ d4 (- d2 d3))) (* d1 d1))
16.0ms
(+ d4 (- d2 d3))
34.0ms
(* d1 (+ d4 (- d2 d3)))

simplify1.6s

Counts
65 → 65
Iterations

Useful iterations: 3 (459.0ms)

IterNodesCost
093689
1246612
2836554
34057550
done5000550

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))) (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))))
1.4b
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
1.4b
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
1.4b
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
108×associate-*r/
102×cbrt-div
68×flip3-- frac-add flip--
36×frac-times
17×flip3-+ flip-+
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log associate-*l/
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 124
Calls
4 calls:
19.0ms
(* (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))) (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))))
15.0ms
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
18.0ms
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
15.0ms
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))

series1.6s

Counts
4 → 12
Calls
4 calls:
466.0ms
(* (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))) (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))))
364.0ms
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
384.0ms
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
372.0ms
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))

simplify479.0ms

Counts
136 → 136
Iterations

Useful iterations: done (474.0ms)

IterNodesCost
02245661
14925229
214635085
done50004813

prune471.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
16×associate-*r*
14×sqrt-div add-log-exp
13×add-sqr-sqrt
11×pow1 add-exp-log sqrt-prod add-cbrt-cube
10×associate-*r/
9×add-cube-cbrt flip3-+ flip-+
8×distribute-lft-out
4×frac-times associate-+r+ associate-*l* pow-prod-down prod-exp sum-log cbrt-unprod distribute-lft-out--
2×+-commutative associate-+r- sub-neg diff-log associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
9.0ms
(+ d4 (- d2 d3))
7.0ms
(+ d4 (- d2 d3))
29.0ms
(* d1 (sqrt (+ d4 (- d2 d3))))
58.0ms
(* (* d1 (sqrt (+ d4 (- d2 d3)))) (sqrt (+ d4 (- d2 d3))))

series155.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ d4 (- d2 d3))
16.0ms
(+ d4 (- d2 d3))
91.0ms
(* d1 (sqrt (+ d4 (- d2 d3))))
32.0ms
(* (* d1 (sqrt (+ d4 (- d2 d3)))) (sqrt (+ d4 (- d2 d3))))

simplify1.6s

Counts
103 → 103
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01181396
13001126
2932998
33800986
done5001984

prune209.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes71.0ms

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
0911
11111
done1111

end0.0ms

sample671.0ms

Algorithm
intervals
Results
383.0ms11900×body80valid