Details

Time bar (total: 23.0s)

sample102.0ms

Algorithm
intervals
Results
41.0ms439×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
51681
4803
3296
298
138
018

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.4b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* y 9.0) x b)
0.4b
(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
2.7b
(/ (fma (* y 9.0) x b) z)
10.1b
(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×fma-neg prod-diff
8×add-cbrt-cube add-exp-log
6×associate-/r* associate-/l* add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u div-inv
2×cbrt-undiv clear-num frac-2neg flip3-- div-exp flip-- associate-/l/
1×sub-neg diff-log div-sub fma-udef
Counts
4 → 111
Calls
4 calls:
0.0ms
(fma (* y 9.0) x b)
22.0ms
(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
4.0ms
(/ (fma (* y 9.0) x b) z)
48.0ms
(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

series623.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(fma (* y 9.0) x b)
248.0ms
(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
105.0ms
(/ (fma (* y 9.0) x b) z)
194.0ms
(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

simplify1.3s

Counts
123 → 123
Iterations
IterNodes
done5001
21252
1389
0170

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* y 9.0) x b)
0.4b
(- (* (fma (* y 9.0) x b) (/ 1 z)) (* (* a t) 4.0))
2.8b
(* (fma (* y 9.0) x b) (/ 1 z))
10.1b
(/ (- (* (fma (* y 9.0) x b) (/ 1 z)) (* (* a t) 4.0)) c)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
15×add-exp-log
13×associate-*r*
11×add-cbrt-cube
6×pow1 add-log-exp
4×expm1-log1p-u prod-exp log1p-expm1-u
3×associate-/r* div-exp associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv flip3-- cbrt-unprod div-inv flip-- associate-/l/
1×rec-exp clear-num sub-neg frac-2neg fma-neg diff-log 1-exp div-sub prod-diff pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef
Counts
4 → 96
Calls
4 calls:
0.0ms
(fma (* y 9.0) x b)
22.0ms
(- (* (fma (* y 9.0) x b) (/ 1 z)) (* (* a t) 4.0))
22.0ms
(* (fma (* y 9.0) x b) (/ 1 z))
40.0ms
(/ (- (* (fma (* y 9.0) x b) (/ 1 z)) (* (* a t) 4.0)) c)

series563.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(fma (* y 9.0) x b)
197.0ms
(- (* (fma (* y 9.0) x b) (/ 1 z)) (* (* a t) 4.0))
76.0ms
(* (fma (* y 9.0) x b) (/ 1 z))
247.0ms
(/ (- (* (fma (* y 9.0) x b) (/ 1 z)) (* (* a t) 4.0)) c)

simplify1.6s

Counts
108 → 108
Iterations
IterNodes
done5000
21459
1446
0181

prune738.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* y 9.0) x b)
0.4b
(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
2.7b
(/ (fma (* y 9.0) x b) z)
10.2b
(* (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) (/ 1 c))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×times-frac
35×*-un-lft-identity
34×add-cube-cbrt
15×add-exp-log
13×fma-neg associate-*r* prod-diff
11×add-cbrt-cube
6×pow1 add-log-exp
4×expm1-log1p-u prod-exp log1p-expm1-u div-inv
3×associate-/r* flip3-- div-exp associate-*l* flip-- associate-/l* unswap-sqr
2×frac-times cbrt-undiv associate-*l/ cbrt-unprod
1×rec-exp clear-num sub-neg frac-2neg diff-log 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef
Counts
4 → 121
Calls
4 calls:
0.0ms
(fma (* y 9.0) x b)
22.0ms
(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
4.0ms
(/ (fma (* y 9.0) x b) z)
74.0ms
(* (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) (/ 1 c))

series608.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(fma (* y 9.0) x b)
252.0ms
(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
102.0ms
(/ (fma (* y 9.0) x b) z)
208.0ms
(* (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) (/ 1 c))

simplify2.7s

Counts
133 → 133
Iterations
IterNodes
done5000
34425
21374
1464
0195

prune1.3s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 5.9b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ x (/ z y)) 9.0 (/ b z))
0.4b
(- (fma (/ x (/ z y)) 9.0 (/ b z)) (* (* a t) 4.0))
4.5b
(/ x (/ z y))
10.2b
(* (- (fma (/ x (/ z y)) 9.0 (/ b z)) (* (* a t) 4.0)) (/ 1 c))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
63×add-sqr-sqrt
57×*-un-lft-identity
56×add-cube-cbrt
18×add-exp-log
14×add-cbrt-cube
13×associate-/r* associate-*r*
6×pow1 div-inv add-log-exp
5×div-exp
4×expm1-log1p-u cbrt-undiv prod-exp log1p-expm1-u
3×flip3-- fma-neg associate-*l* prod-diff flip-- associate-/l* unswap-sqr
2×frac-times associate-*l/ cbrt-unprod fma-udef
1×rec-exp clear-num sub-neg frac-2neg diff-log 1-exp pow-prod-down associate--l+ associate-*r/ associate-/r/ un-div-inv *-commutative
Counts
4 → 145
Calls
4 calls:
0.0ms
(fma (/ x (/ z y)) 9.0 (/ b z))
8.0ms
(- (fma (/ x (/ z y)) 9.0 (/ b z)) (* (* a t) 4.0))
12.0ms
(/ x (/ z y))
22.0ms
(* (- (fma (/ x (/ z y)) 9.0 (/ b z)) (* (* a t) 4.0)) (/ 1 c))

series763.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(fma (/ x (/ z y)) 9.0 (/ b z))
259.0ms
(- (fma (/ x (/ z y)) 9.0 (/ b z)) (* (* a t) 4.0))
51.0ms
(/ x (/ z y))
380.0ms
(* (- (fma (/ x (/ z y)) 9.0 (/ b z)) (* (* a t) 4.0)) (/ 1 c))

simplify1.9s

Counts
157 → 157
Iterations
IterNodes
done5000
22144
1710
0289

prune1.5s

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 5.9b

regimes3.0s

Accuracy

63.6% (2.8b remaining)

Error of 6.8b against oracle of 3.9b and baseline of 11.7b

bsearch6.0ms

simplify19.0ms

Iterations
IterNodes
done59
159
044

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.0s12738×body80valid