Details

Time bar (total: 31.8s)

sample138.0ms

Algorithm
intervals
Results
77.0ms660×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5001
51898
4721
3290
296
143
023

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize67.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
5.0b
(* x (- (* y z) (* t a)))
5.7b
(* b (- (* c z) (* i a)))
6.0b
(* j (- (* c t) (* i y)))

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
34×associate-*r/
19×flip3-- flip--
16×add-sqr-sqrt
12×frac-add
11×sub-neg
10×distribute-rgt-in pow1 *-un-lft-identity distribute-lft-in add-cbrt-cube add-exp-log add-cube-cbrt
9×associate-*r* associate-*l* add-log-exp
8×frac-sub
6×associate-+l+
4×associate-+r+ associate--l+
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×sum-log
1×+-commutative flip3-+ diff-log associate-+l- flip-+
Counts
4 → 107
Calls
4 calls:
100.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
33.0ms
(* x (- (* y z) (* t a)))
50.0ms
(* b (- (* c z) (* i a)))
32.0ms
(* j (- (* c t) (* i y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
855.0ms
(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
106.0ms
(* x (- (* y z) (* t a)))
94.0ms
(* b (- (* c z) (* i a)))
110.0ms
(* j (- (* c t) (* i y)))

simplify3.6s

Counts
119 → 119
Iterations
IterNodes
done5007
24779
1997
0275

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.7b

localize97.0ms

Local error

Found 4 expressions with local error:

6.0b
(* j (- (* c t) (* i y)))
6.1b
(cbrt (* j (- (* c t) (* i y))))
6.1b
(cbrt (* j (- (* c t) (* i y))))
6.1b
(cbrt (* j (- (* c t) (* i y))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 cbrt-div *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
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:
37.0ms
(* j (- (* c t) (* i y)))
8.0ms
(cbrt (* j (- (* c t) (* i y))))
13.0ms
(cbrt (* j (- (* c t) (* i y))))
17.0ms
(cbrt (* j (- (* c t) (* i y))))

series794.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* j (- (* c t) (* i y)))
218.0ms
(cbrt (* j (- (* c t) (* i y))))
221.0ms
(cbrt (* j (- (* c t) (* i y))))
241.0ms
(cbrt (* j (- (* c t) (* i y))))

simplify2.1s

Counts
69 → 69
Iterations
IterNodes
done5009
32567
2759
1264
0103

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.7b

localize143.0ms

Local error

Found 4 expressions with local error:

6.1b
(cbrt (* (* j (* (cbrt (- (* c t) (* i y))) (cbrt (- (* c t) (* i y))))) (cbrt (- (* c t) (* i y)))))
8.0b
(cbrt (- (* c t) (* i y)))
8.0b
(cbrt (- (* c t) (* i y)))
8.0b
(cbrt (- (* c t) (* i y)))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
86×cbrt-div
32×associate-*r/
30×flip3-- flip--
28×frac-times
14×associate-*l/
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 74
Calls
4 calls:
238.0ms
(cbrt (* (* j (* (cbrt (- (* c t) (* i y))) (cbrt (- (* c t) (* i y))))) (cbrt (- (* c t) (* i y)))))
8.0ms
(cbrt (- (* c t) (* i y)))
8.0ms
(cbrt (- (* c t) (* i y)))
9.0ms
(cbrt (- (* c t) (* i y)))

series792.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (* (* j (* (cbrt (- (* c t) (* i y))) (cbrt (- (* c t) (* i y))))) (cbrt (- (* c t) (* i y)))))
175.0ms
(cbrt (- (* c t) (* i y)))
196.0ms
(cbrt (- (* c t) (* i y)))
239.0ms
(cbrt (- (* c t) (* i y)))

simplify1.9s

Counts
86 → 86
Iterations
IterNodes
done5010
32439
21031
1448
0196

prune1.4s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.7b

localize78.0ms

Local error

Found 4 expressions with local error:

5.7b
(* b (- (* c z) (* i a)))
8.0b
(cbrt (- (* c t) (* i y)))
8.0b
(cbrt (- (* c t) (* i y)))
8.0b
(cbrt (- (* c t) (* i y)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod *-un-lft-identity add-cube-cbrt
6×pow1 cbrt-div add-cbrt-cube add-exp-log
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
40.0ms
(* b (- (* c z) (* i a)))
9.0ms
(cbrt (- (* c t) (* i y)))
9.0ms
(cbrt (- (* c t) (* i y)))
9.0ms
(cbrt (- (* c t) (* i y)))

series717.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* b (- (* c z) (* i a)))
199.0ms
(cbrt (- (* c t) (* i y)))
190.0ms
(cbrt (- (* c t) (* i y)))
217.0ms
(cbrt (- (* c t) (* i y)))

simplify2.8s

Counts
75 → 75
Iterations
IterNodes
done5012
32977
2905
1325
0122

prune864.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 3.7b

regimes3.5s

Accuracy

31.9% (6.1b remaining)

Error of 9.7b against oracle of 3.6b and baseline of 12.5b

bsearch314.0ms

Steps
ItersRangePoint
8
1.8305277383771853e+136
4.40621416577772e+140
6.630197526137252e+136
7
-0.04616736282220315
-0.002877769547504494
-0.010182364183445083

simplify17.0ms

Iterations
IterNodes
done65
165
046

end0.0ms

sample5.7s

Algorithm
intervals
Results
4.2s19294×body80valid