Details

Time bar (total: 27.4s)

sample97.0ms

Algorithm
intervals
Results
67.0ms582×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5000
52724
4907
3333
2110
147
023

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* z y) (* t a))
4.9b
(fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x))
5.3b
(fma (- (* t c) (* i y)) j (fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x)))
5.4b
(* (- (* z y) (* t a)) x)

rewrite50.0ms

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 insert-posit16 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 → 62
Calls
4 calls:
9.0ms
(- (* z y) (* t a))
0.0ms
(fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x))
0.0ms
(fma (- (* t c) (* i y)) j (fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x)))
40.0ms
(* (- (* z y) (* t a)) x)

series1.1s

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* z y) (* t a))
263.0ms
(fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x))
693.0ms
(fma (- (* t c) (* i y)) j (fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x)))
79.0ms
(* (- (* z y) (* t a)) x)

simplify2.3s

Counts
74 → 74
Iterations
IterNodes
done5025
32659
2698
1251
0114

prune775.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.9b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* z y) (* t a))
4.9b
(fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x))
5.4b
(* (- (* z y) (* t a)) x)
5.5b
(* (- (* t c) (* i y)) j)

rewrite75.0ms

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/ insert-posit16 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 → 74
Calls
4 calls:
9.0ms
(- (* z y) (* t a))
0.0ms
(fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x))
26.0ms
(* (- (* z y) (* t a)) x)
38.0ms
(* (- (* t c) (* i y)) j)

series527.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (* z y) (* t a))
301.0ms
(fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x))
95.0ms
(* (- (* z y) (* t a)) x)
76.0ms
(* (- (* t c) (* i y)) j)

simplify2.2s

Counts
86 → 86
Iterations
IterNodes
done5000
34375
21093
1344
0143

prune975.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.0b

localize83.0ms

Local error

Found 4 expressions with local error:

5.4b
(* (- (* z y) (* t a)) x)
7.1b
(cbrt (- (* t c) (* i y)))
7.1b
(cbrt (- (* t c) (* i y)))
7.1b
(cbrt (- (* t c) (* i y)))

rewrite52.0ms

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-- insert-posit16 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 → 71
Calls
4 calls:
33.0ms
(* (- (* z y) (* t a)) x)
6.0ms
(cbrt (- (* t c) (* i y)))
6.0ms
(cbrt (- (* t c) (* i y)))
6.0ms
(cbrt (- (* t c) (* i y)))

series694.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (- (* z y) (* t a)) x)
214.0ms
(cbrt (- (* t c) (* i y)))
170.0ms
(cbrt (- (* t c) (* i y)))
194.0ms
(cbrt (- (* t c) (* i y)))

simplify3.0s

Counts
83 → 83
Iterations
IterNodes
done5001
33334
2945
1316
0122

prune1.1s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.9b

localize85.0ms

Local error

Found 4 expressions with local error:

5.3b
(fma (- (* t c) (* i y)) j (fma (- (* i a) (* z c)) b (* (* (cbrt (- (* z y) (* t a))) (cbrt (- (* z y) (* t a)))) (* (cbrt (- (* z y) (* t a))) x))))
6.9b
(cbrt (- (* z y) (* t a)))
6.9b
(cbrt (- (* z y) (* t a)))
6.9b
(cbrt (- (* z y) (* t a)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×cbrt-div
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip--
1×fma-udef
Counts
4 → 59
Calls
4 calls:
1.0ms
(fma (- (* t c) (* i y)) j (fma (- (* i a) (* z c)) b (* (* (cbrt (- (* z y) (* t a))) (cbrt (- (* z y) (* t a)))) (* (cbrt (- (* z y) (* t a))) x))))
8.0ms
(cbrt (- (* z y) (* t a)))
12.0ms
(cbrt (- (* z y) (* t a)))
9.0ms
(cbrt (- (* z y) (* t a)))

series1.3s

Counts
4 → 12
Calls
4 calls:
728.0ms
(fma (- (* t c) (* i y)) j (fma (- (* i a) (* z c)) b (* (* (cbrt (- (* z y) (* t a))) (cbrt (- (* z y) (* t a)))) (* (cbrt (- (* z y) (* t a))) x))))
176.0ms
(cbrt (- (* z y) (* t a)))
179.0ms
(cbrt (- (* z y) (* t a)))
168.0ms
(cbrt (- (* z y) (* t a)))

simplify1.9s

Counts
71 → 71
Iterations
IterNodes
done5002
31928
2671
1262
0107

prune800.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 4.9b

regimes2.1s

Accuracy

27% (5.4b remaining)

Error of 9.5b against oracle of 4.1b and baseline of 11.5b

bsearch493.0ms

Steps
ItersRangePoint
11
3.1329973407803143e+97
1.4369199905592724e+119
2.3673218340026943e+98
9
-1.8415223110375944e+79
-7.960744265358492e+69
-5.827232257640776e+78

simplify15.0ms

Iterations
IterNodes
done57
157
039

end0.0ms

sample5.2s

Algorithm
intervals
Results
4.1s19020×body80valid