Details

Time bar (total: 14.2s)

sample73.0ms

Algorithm
intervals
Results
38.0ms577×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02329
14329
29629
324829
462529
5157929
6373929
done500129

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) (* t a))
4.7b
(* b (- (* c z) (* t i)))
5.4b
(* x (- (* y z) (* t a)))
5.6b
(* j (- (* c a) (* y i)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
7×sub-neg
6×distribute-rgt-in distribute-lft-in associate-*r/ add-log-exp
4×flip3-- flip--
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log
Counts
4 → 84
Calls
4 calls:
2.0ms
(- (* y z) (* t a))
10.0ms
(* b (- (* c z) (* t i)))
10.0ms
(* x (- (* y z) (* t a)))
10.0ms
(* j (- (* c a) (* y i)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* y z) (* t a))
64.0ms
(* b (- (* c z) (* t i)))
67.0ms
(* x (- (* y z) (* t a)))
68.0ms
(* j (- (* c a) (* y i)))

simplify1.2s

Counts
96 → 96
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
01661155
14181141
211771007
339311007
done50011007

prune401.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.8b

localize30.0ms

Local error

Found 4 expressions with local error:

5.6b
(* j (- (* c a) (* y i)))
6.6b
(cbrt (* b (- (* c z) (* t i))))
6.6b
(cbrt (* b (- (* c z) (* t i))))
6.6b
(cbrt (* b (- (* c z) (* t i))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
10.0ms
(* j (- (* c a) (* y i)))
4.0ms
(cbrt (* b (- (* c z) (* t i))))
4.0ms
(cbrt (* b (- (* c z) (* t i))))
4.0ms
(cbrt (* b (- (* c z) (* t i))))

series460.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* j (- (* c a) (* y i)))
128.0ms
(cbrt (* b (- (* c z) (* t i))))
132.0ms
(cbrt (* b (- (* c z) (* t i))))
135.0ms
(cbrt (* b (- (* c z) (* t i))))

simplify885.0ms

Counts
69 → 69
Iterations

Useful iterations: 3 (289.0ms)

IterNodesCost
01231034
13111010
2885904
32820892
done5000892

prune428.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 6.8b

localize29.0ms

Local error

Found 4 expressions with local error:

5.6b
(* j (- (* c a) (* y i)))
6.1b
(cbrt (* j (- (* c a) (* y i))))
6.1b
(cbrt (* j (- (* c a) (* y i))))
6.1b
(cbrt (* j (- (* c a) (* y i))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
10.0ms
(* j (- (* c a) (* y i)))
4.0ms
(cbrt (* j (- (* c a) (* y i))))
4.0ms
(cbrt (* j (- (* c a) (* y i))))
4.0ms
(cbrt (* j (- (* c a) (* y i))))

series474.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* j (- (* c a) (* y i)))
136.0ms
(cbrt (* j (- (* c a) (* y i))))
139.0ms
(cbrt (* j (- (* c a) (* y i))))
131.0ms
(cbrt (* j (- (* c a) (* y i))))

simplify751.0ms

Counts
69 → 69
Iterations

Useful iterations: 3 (228.0ms)

IterNodesCost
01031034
12541010
2695904
32146892
done5000892

prune484.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 6.8b

localize34.0ms

Local error

Found 4 expressions with local error:

5.6b
(* j (- (* c a) (* y i)))
6.1b
(cbrt (* j (- (* c a) (* y i))))
6.1b
(cbrt (* j (- (* c a) (* y i))))
7.2b
(cbrt (- (* c a) (* y i)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div associate-*r/ add-cbrt-cube
5×cbrt-prod
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 59
Calls
4 calls:
10.0ms
(* j (- (* c a) (* y i)))
4.0ms
(cbrt (* j (- (* c a) (* y i))))
4.0ms
(cbrt (* j (- (* c a) (* y i))))
2.0ms
(cbrt (- (* c a) (* y i)))

series462.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* j (- (* c a) (* y i)))
134.0ms
(cbrt (* j (- (* c a) (* y i))))
144.0ms
(cbrt (* j (- (* c a) (* y i))))
114.0ms
(cbrt (- (* c a) (* y i)))

simplify805.0ms

Counts
71 → 71
Iterations

Useful iterations: 3 (300.0ms)

IterNodesCost
01351061
13301035
2871934
32599920
done5000920

prune422.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 6.8b

regimes1.2s

Accuracy

16.1% (5.9b remaining)

Error of 11.3b against oracle of 5.3b and baseline of 12.4b

bsearch230.0ms

Steps
ItersRangePoint
4
1.7094497831702198e-45
2.582531197436681e-45
2.0095715193243157e-45
7
7.881929711048925e-209
6.242478747513967e-207
2.9280986771833522e-207
8
-6.557200082868871e-160
-1.4602408476752846e-163
-7.34696385450286e-162

simplify18.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057160
197160
2114160
3116160
done116160

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s18884×body80valid