Details

Time bar (total: 25.4s)

sample206.0ms

Algorithm
intervals
Results
116.0ms631×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 4 (193.0ms)

IterNodesCost
02329
14729
211028
333328
4122927
done500027

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c a) (* y i))
5.3b
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
5.3b
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
6.3b
(* j (- (* c a) (* y i)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
expm1-log1p-u log1p-expm1-u
distribute-rgt-in sub-neg distribute-lft-in associate-*r* associate-*l* prod-diff
flip3-- associate-*r/ flip-- fma-udef
fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
18.0ms
(- (* c a) (* y i))
1.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
1.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
63.0ms
(* j (- (* c a) (* y i)))

series1.3s

Counts
4 → 12
Calls
4 calls:
69.0ms
(- (* c a) (* y i))
831.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
301.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
93.0ms
(* j (- (* c a) (* y i)))

simplify970.0ms

Counts
76 → 76
Iterations

Useful iterations: done (967.0ms)

IterNodesCost
01191239
12871222
211401077
done50011071

prune576.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c a) (* y i))
5.3b
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
5.4b
(* x (- (* y z) (* t a)))
6.3b
(* j (- (* c a) (* y i)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
distribute-rgt-in distribute-lft-in associate-*r* associate-*l* add-log-exp
sub-neg prod-diff
expm1-log1p-u associate-*r/ log1p-expm1-u
flip3-- flip--
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
fma-neg diff-log fma-udef
Counts
4 → 82
Calls
4 calls:
21.0ms
(- (* c a) (* y i))
1.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
37.0ms
(* x (- (* y z) (* t a)))
38.0ms
(* j (- (* c a) (* y i)))

series557.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (* c a) (* y i))
293.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
118.0ms
(* x (- (* y z) (* t a)))
87.0ms
(* j (- (* c a) (* y i)))

simplify1.0s

Counts
94 → 94
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01601244
14141226
217831100
done50011088

prune654.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.1b

localize48.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (cbrt x) (- (* y z) (* t a)))
3.6b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
5.3b
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
6.3b
(* j (- (* c a) (* y i)))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
18×distribute-rgt-in distribute-lft-in
15×add-sqr-sqrt
13×add-cbrt-cube
10×associate-*l* pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity
sub-neg associate-*r/ prod-diff
associate-*r*
cbrt-prod expm1-log1p-u log1p-expm1-u add-log-exp
flip3-- *-commutative flip-- unswap-sqr
fma-udef
Counts
4 → 108
Calls
4 calls:
58.0ms
(* (cbrt x) (- (* y z) (* t a)))
70.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
0.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
35.0ms
(* j (- (* c a) (* y i)))

series1.0s

Counts
4 → 12
Calls
4 calls:
437.0ms
(* (cbrt x) (- (* y z) (* t a)))
155.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
347.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
107.0ms
(* j (- (* c a) (* y i)))

simplify2.6s

Counts
120 → 120
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02092066
16172040
237381615
done50021447

prune775.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.8b

localize58.0ms

Local error

Found 4 expressions with local error:

2.6b
(* (- t) (* a (cbrt x)))
3.6b
(* (* (cbrt x) (cbrt x)) (+ (* (* z y) (cbrt x)) (* (- t) (* a (cbrt x)))))
5.3b
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
6.3b
(* j (- (* c a) (* y i)))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
14×associate-*l*
13×add-sqr-sqrt add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
associate-*r* pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in expm1-log1p-u distribute-lft-in associate-*r/ log1p-expm1-u add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in *-commutative
sub-neg prod-diff unswap-sqr
distribute-lft-neg-out neg-mul-1 flip3-- flip3-+ flip-- flip-+ fma-udef
Counts
4 → 91
Calls
4 calls:
38.0ms
(* (- t) (* a (cbrt x)))
149.0ms
(* (* (cbrt x) (cbrt x)) (+ (* (* z y) (cbrt x)) (* (- t) (* a (cbrt x)))))
0.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
28.0ms
(* j (- (* c a) (* y i)))

series1.2s

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (- t) (* a (cbrt x)))
641.0ms
(* (* (cbrt x) (cbrt x)) (+ (* (* z y) (cbrt x)) (* (- t) (* a (cbrt x)))))
327.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
133.0ms
(* j (- (* c a) (* y i)))

simplify2.7s

Counts
103 → 103
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01941636
15891568
237111310
done50011294

prune714.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.3b

regimes1.7s

Accuracy

27.2% (7.7b remaining)

Error of 9.7b against oracle of 2.0b and baseline of 12.6b

bsearch340.0ms

Steps
ItersRangePoint
2
9.801409433201689e-127
1.1081973851103495e-126
1.0921903298865769e-126
10
-3.4239919325012315e-68
-1.2472987562933372e-79
-1.3030988317621348e-76

simplify29.0ms

Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
044109
16980
27380
38080
done8080

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.6s19344×body80valid