Details

Time bar (total: 12.2s)

sample54.0ms

Algorithm
intervals
Results
18.0ms358×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5000
61582
5409
4172
371
232
116
09

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

2.5b
(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y a) (- t z) x)

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(fma (/ y a) (- t z) x)

simplify1.6s

Counts
13 → 13
Iterations
IterNodes
done5000
41994
3284
294
141
024

prune115.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (- t z) (/ y a) x))
2.5b
(fma (- t z) (/ y a) x)
2.5b
(fma (- t z) (/ y a) x)
2.5b
(fma (- t z) (/ y a) x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (- t z) (/ y a) x))
0.0ms
(fma (- t z) (/ y a) x)
0.0ms
(fma (- t z) (/ y a) x)
1.0ms
(fma (- t z) (/ y a) x)

series421.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(cbrt (fma (- t z) (/ y a) x))
53.0ms
(fma (- t z) (/ y a) x)
69.0ms
(fma (- t z) (/ y a) x)
71.0ms
(fma (- t z) (/ y a) x)

simplify564.0ms

Counts
55 → 55
Iterations
IterNodes
done5000
31112
2284
1118
061

prune465.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

2.5b
(fma (/ y a) (- t z) x)
2.5b
(fma (/ y a) (- t z) x)
2.5b
(fma (- t z) (/ y a) x)
2.5b
(fma (- t z) (/ y a) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
4 → 40
Calls
4 calls:
0.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (- t z) (/ y a) x)
0.0ms
(fma (- t z) (/ y a) x)

series260.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(fma (/ y a) (- t z) x)
51.0ms
(fma (/ y a) (- t z) x)
76.0ms
(fma (- t z) (/ y a) x)
82.0ms
(fma (- t z) (/ y a) x)

simplify1.1s

Counts
52 → 52
Iterations
IterNodes
done5001
41697
3302
2111
158
035

prune521.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ y (/ a (- t z))) x)
0.0b
(/ a (- t z))
6.1b
(/ y (/ a (- t z)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
246×times-frac
172×*-un-lft-identity
170×add-sqr-sqrt
120×add-cube-cbrt
68×fma-def
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
18×associate-/r/
10×add-cbrt-cube add-exp-log div-inv
8×flip3-- flip--
6×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 log1p-expm1-u
2×clear-num frac-2neg
1×+-commutative sum-log flip3-+ flip-+ distribute-lft-out
Counts
3 → 225
Calls
3 calls:
114.0ms
(+ (/ y (/ a (- t z))) x)
9.0ms
(/ a (- t z))
14.0ms
(/ y (/ a (- t z)))

series182.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(+ (/ y (/ a (- t z))) x)
40.0ms
(/ a (- t z))
79.0ms
(/ y (/ a (- t z)))

simplify1.0s

Counts
234 → 234
Iterations
IterNodes
done5001
22982
1642
0251

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes788.0ms

Accuracy

50.7% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.4b

bsearch192.0ms

Steps
ItersRangePoint
8
1.0842522169904994e+96
8.251902449844993e+99
1.5406721555478148e+96
8
1.0300918078787729e-122
3.433765378615993e-120
1.669828349187372e-121
9
-3.27334652413423e-10
-2.567166085843448e-19
-1.5982814066709494e-10

simplify5.0ms

Iterations
IterNodes
done30
130
027

end0.0ms

sample1.8s

Algorithm
intervals
Results
538.0ms10743×body80valid