Details

Time bar (total: 15.6s)

sample76.0ms

Algorithm
intervals
Results
40.0ms629×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (113.0ms)

IterNodesCost
02329
14729
211028
329228
482527
5256127
done500027

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c t) (* i y))
4.2b
(* b (- (* c z) (* i a)))
5.2b
(* j (- (* c t) (* i y)))
5.9b
(* x (- (* y z) (* t a)))

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×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
(- (* c t) (* i y))
10.0ms
(* b (- (* c z) (* i a)))
9.0ms
(* j (- (* c t) (* i y)))
10.0ms
(* x (- (* y z) (* t a)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* c t) (* i y))
70.0ms
(* b (- (* c z) (* i a)))
69.0ms
(* j (- (* c t) (* i y)))
70.0ms
(* x (- (* y z) (* t a)))

simplify1.6s

Counts
112 → 112
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02001357
14721338
213201209
344211195
done50001188

prune492.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.0b

localize25.0ms

Local error

Found 4 expressions with local error:

4.2b
(* b (- (* c z) (* i a)))
4.4b
(* i (* j y))
4.9b
(* t (* j c))
5.9b
(* x (- (* y z) (* t a)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
10×add-cube-cbrt *-un-lft-identity
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
6×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff *-commutative log1p-expm1-u add-log-exp
2×flip3-- flip-- unswap-sqr
Counts
4 → 96
Calls
4 calls:
9.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* i (* j y))
7.0ms
(* t (* j c))
9.0ms
(* x (- (* y z) (* t a)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* b (- (* c z) (* i a)))
26.0ms
(* i (* j y))
28.0ms
(* t (* j c))
76.0ms
(* x (- (* y z) (* t a)))

simplify1.8s

Counts
108 → 108
Iterations

Useful iterations: 2 (167.0ms)

IterNodesCost
01961094
14691082
21408936
34824936
done5000936

prune484.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 2.9b

localize22.0ms

Local error

Found 4 expressions with local error:

4.2b
(* b (- (* c z) (* i a)))
4.4b
(* i (* j y))
5.4b
(* (* t j) c)
5.9b
(* x (- (* y z) (* t a)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
8×pow-prod-down prod-exp cbrt-unprod
6×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff *-commutative log1p-expm1-u add-log-exp
2×flip3-- flip-- unswap-sqr
Counts
4 → 96
Calls
4 calls:
11.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* i (* j y))
6.0ms
(* (* t j) c)
9.0ms
(* x (- (* y z) (* t a)))

series191.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* b (- (* c z) (* i a)))
25.0ms
(* i (* j y))
29.0ms
(* (* t j) c)
68.0ms
(* x (- (* y z) (* t a)))

simplify994.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (200.0ms)

IterNodesCost
01991097
14771083
21519937
done5001937

prune486.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 2.9b

localize23.0ms

Local error

Found 4 expressions with local error:

4.2b
(* b (- (* c z) (* i a)))
4.9b
(* t (* j c))
5.9b
(* x (- (* y z) (* t a)))
5.9b
(* (* i j) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
8×pow-prod-down prod-exp cbrt-unprod
6×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff *-commutative log1p-expm1-u add-log-exp
2×flip3-- flip-- unswap-sqr
Counts
4 → 96
Calls
4 calls:
9.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* t (* j c))
9.0ms
(* x (- (* y z) (* t a)))
8.0ms
(* (* i j) y)

series191.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* b (- (* c z) (* i a)))
26.0ms
(* t (* j c))
70.0ms
(* x (- (* y z) (* t a)))
26.0ms
(* (* i j) y)

simplify1.0s

Counts
108 → 108
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
01981097
14761083
21522937
done5000937

prune419.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.9b

regimes1.0s

Accuracy

18.6% (8.0b remaining)

Error of 11.1b against oracle of 3.1b and baseline of 12.9b

bsearch287.0ms

Steps
ItersRangePoint
7
7.875855679910111e-67
7.138046685260948e-65
5.485403529483549e-65
2
3.7783519426879904e-308
4.1708173100152075e-308
4.0236427972675005e-308
7
-3.4250942496308227e-174
-3.8055586516303794e-176
-3.855081105174013e-175
6
-1.5407080357965941e+57
-2.7806830922174845e+56
-3.209878650036215e+56

simplify13.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
060179
195178
2117178
done117178

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s19241×body80valid