Details

Time bar (total: 24.6s)

sample136.0ms

Algorithm
intervals
Results
70.0ms602×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5001
41195
3333
2110
147
023

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.3b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* z y) (* t a))
4.1b
(fma (- (* t c) (* i y)) j (fma b (- (* a i) (* z c)) (* (- (* z y) (* t a)) x)))
4.6b
(fma b (- (* a i) (* z c)) (* (- (* z y) (* t a)) x))
6.5b
(* (- (* z y) (* t a)) x)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* associate-*l*
2×flip3-- associate-*l/ fma-udef flip--
1×sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
10.0ms
(- (* z y) (* t a))
0.0ms
(fma (- (* t c) (* i y)) j (fma b (- (* a i) (* z c)) (* (- (* z y) (* t a)) x)))
0.0ms
(fma b (- (* a i) (* z c)) (* (- (* z y) (* t a)) x))
29.0ms
(* (- (* z y) (* t a)) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* z y) (* t a))
768.0ms
(fma (- (* t c) (* i y)) j (fma b (- (* a i) (* z c)) (* (- (* z y) (* t a)) x)))
300.0ms
(fma b (- (* a i) (* z c)) (* (- (* z y) (* t a)) x))
93.0ms
(* (- (* z y) (* t a)) x)

simplify1.2s

Counts
70 → 70
Iterations
IterNodes
done5001
2915
1251
0110

prune759.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.8b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* z y) (* t a))
4.6b
(fma b (- (* a i) (* z c)) (* (- (* z y) (* t a)) x))
5.6b
(* (- (* t c) (* i y)) j)
6.5b
(* (- (* z y) (* t a)) x)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l* add-log-exp
4×expm1-log1p-u associate-*l/ log1p-expm1-u
3×flip3-- flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg fma-neg diff-log prod-diff fma-udef
Counts
4 → 70
Calls
4 calls:
6.0ms
(- (* z y) (* t a))
0.0ms
(fma b (- (* a i) (* z c)) (* (- (* z y) (* t a)) x))
29.0ms
(* (- (* t c) (* i y)) j)
28.0ms
(* (- (* z y) (* t a)) x)

series434.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* z y) (* t a))
260.0ms
(fma b (- (* a i) (* z c)) (* (- (* z y) (* t a)) x))
64.0ms
(* (- (* t c) (* i y)) j)
62.0ms
(* (- (* z y) (* t a)) x)

simplify1.1s

Counts
82 → 82
Iterations
IterNodes
done5000
21279
1341
0139

prune956.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.9b

localize78.0ms

Local error

Found 4 expressions with local error:

6.5b
(* (- (* z y) (* t a)) x)
6.7b
(cbrt (- (* t c) (* i y)))
6.7b
(cbrt (- (* t c) (* i y)))
6.7b
(cbrt (- (* t c) (* i y)))

rewrite53.0ms

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×expm1-log1p-u flip3-- log1p-expm1-u flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 67
Calls
4 calls:
30.0ms
(* (- (* z y) (* t a)) x)
7.0ms
(cbrt (- (* t c) (* i y)))
7.0ms
(cbrt (- (* t c) (* i y)))
8.0ms
(cbrt (- (* t c) (* i y)))

series618.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (- (* z y) (* t a)) x)
171.0ms
(cbrt (- (* t c) (* i y)))
184.0ms
(cbrt (- (* t c) (* i y)))
193.0ms
(cbrt (- (* t c) (* i y)))

simplify2.4s

Counts
79 → 79
Iterations
IterNodes
done5000
34813
2993
1314
0120

prune913.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.9b

localize61.0ms

Local error

Found 4 expressions with local error:

5.6b
(* (- (* t c) (* i y)) j)
8.1b
(cbrt (- (* z y) (* t a)))
8.1b
(cbrt (- (* z y) (* t a)))
8.1b
(cbrt (- (* z y) (* t a)))

rewrite57.0ms

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×expm1-log1p-u flip3-- log1p-expm1-u flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 67
Calls
4 calls:
24.0ms
(* (- (* t c) (* i y)) j)
4.0ms
(cbrt (- (* z y) (* t a)))
7.0ms
(cbrt (- (* z y) (* t a)))
20.0ms
(cbrt (- (* z y) (* t a)))

series679.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (- (* t c) (* i y)) j)
173.0ms
(cbrt (- (* z y) (* t a)))
217.0ms
(cbrt (- (* z y) (* t a)))
176.0ms
(cbrt (- (* z y) (* t a)))

simplify2.3s

Counts
79 → 79
Iterations
IterNodes
done5000
34843
2994
1314
0121

prune859.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.9b

regimes2.8s

Accuracy

26.3% (5.7b remaining)

Error of 10.6b against oracle of 4.8b and baseline of 12.6b

bsearch316.0ms

Steps
ItersRangePoint
5
3.7189215934223073e-06
1.2208014372236044e-05
1.2011278168157187e-05
10
-2.2119225060225628e+116
-3.9950742039194516e+104
-1.598051949792397e+105

simplify11.0ms

Iterations
IterNodes
done58
158
039

end0.0ms

sample5.5s

Algorithm
intervals
Results
3.6s19160×body80valid