Details

Time bar (total: 15.5s)

sample74.0ms

Algorithm
intervals
Results
38.0ms577×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 4 (91.0ms)

IterNodesCost
02329
14729
211028
329428
486227
5282927
done500027

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize22.0ms

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)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×distribute-rgt-in distribute-lft-in associate-*r* associate-*l*
7×sub-neg prod-diff
6×associate-*r/ add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log
Counts
4 → 100
Calls
4 calls:
3.0ms
(- (* 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)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* y z) (* t a))
75.0ms
(* b (- (* c z) (* t i)))
75.0ms
(* x (- (* y z) (* t a)))
74.0ms
(* j (- (* c a) (* y i)))

simplify709.0ms

Counts
112 → 112
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
01991357
14881338
218191195
done50021195

prune564.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.8b

localize27.0ms

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))))

rewrite27.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-prod distribute-rgt-in distribute-lft-in pow1/3 associate-*r* associate-*l*
2×sub-neg prod-diff
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 67
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))))
7.0ms
(cbrt (* b (- (* c z) (* t i))))

series537.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* j (- (* c a) (* y i)))
150.0ms
(cbrt (* b (- (* c z) (* t i))))
157.0ms
(cbrt (* b (- (* c z) (* t i))))
155.0ms
(cbrt (* b (- (* c z) (* t i))))

simplify1.9s

Counts
79 → 79
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01361156
13361120
211321011
33851999
done5001997

prune529.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 6.8b

localize27.0ms

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))))

rewrite26.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-prod distribute-rgt-in distribute-lft-in pow1/3 associate-*r* associate-*l*
2×sub-neg prod-diff
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 67
Calls
4 calls:
13.0ms
(* 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))))

series531.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* j (- (* c a) (* y i)))
154.0ms
(cbrt (* j (- (* c a) (* y i))))
151.0ms
(cbrt (* j (- (* c a) (* y i))))
152.0ms
(cbrt (* j (- (* c a) (* y i))))

simplify1.5s

Counts
79 → 79
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01161156
12771119
29211011
33212999
done5001997

prune594.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 6.8b

localize31.0ms

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)))

rewrite22.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in pow1/3 associate-*r* associate-*l*
2×sub-neg prod-diff
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 69
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)))

series518.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* j (- (* c a) (* y i)))
151.0ms
(cbrt (* j (- (* c a) (* y i))))
158.0ms
(cbrt (* j (- (* c a) (* y i))))
132.0ms
(cbrt (- (* c a) (* y i)))

simplify1.6s

Counts
81 → 81
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01501179
13561140
211131037
338651021
done50001019

prune563.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 6.8b

regimes1.2s

Accuracy

16.1% (6.0b remaining)

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

bsearch259.0ms

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

simplify15.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056160
197160
2114160
3116160
done116160

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s18884×body80valid