Details

Time bar (total: 25.2s)

sample95.0ms

Algorithm
intervals
Results
37.0ms439×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

localize39.0ms

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)

rewrite101.0ms

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)
39.0ms
(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
4.0ms
(/ (fma (* y 9.0) x b) z)
52.0ms
(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

series595.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(fma (* y 9.0) x b)
226.0ms
(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
95.0ms
(/ (fma (* y 9.0) x b) z)
224.0ms
(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

simplify1.4s

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

localize50.0ms

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)

rewrite102.0ms

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)
24.0ms
(- (* (fma (* y 9.0) x b) (/ 1 z)) (* (* a t) 4.0))
23.0ms
(* (fma (* y 9.0) x b) (/ 1 z))
52.0ms
(/ (- (* (fma (* y 9.0) x b) (/ 1 z)) (* (* a t) 4.0)) c)

series543.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(fma (* y 9.0) x b)
200.0ms
(- (* (fma (* y 9.0) x b) (/ 1 z)) (* (* a t) 4.0))
88.0ms
(* (fma (* y 9.0) x b) (/ 1 z))
214.0ms
(/ (- (* (fma (* y 9.0) x b) (/ 1 z)) (* (* a t) 4.0)) c)

simplify1.7s

Counts
108 → 108
Iterations
IterNodes
done5000
21459
1446
0181

prune847.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.1b

localize38.0ms

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))

rewrite113.0ms

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)
21.0ms
(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
4.0ms
(/ (fma (* y 9.0) x b) z)
84.0ms
(* (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) (/ 1 c))

series631.0ms

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))
104.0ms
(/ (fma (* y 9.0) x b) z)
229.0ms
(* (- (/ (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

prune1.2s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 5.9b

localize38.0ms

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))

rewrite60.0ms

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))
12.0ms
(- (fma (/ x (/ z y)) 9.0 (/ b z)) (* (* a t) 4.0))
7.0ms
(/ x (/ z y))
32.0ms
(* (- (fma (/ x (/ z y)) 9.0 (/ b z)) (* (* a t) 4.0)) (/ 1 c))

series720.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(fma (/ x (/ z y)) 9.0 (/ b z))
238.0ms
(- (fma (/ x (/ z y)) 9.0 (/ b z)) (* (* a t) 4.0))
31.0ms
(/ x (/ z y))
363.0ms
(* (- (fma (/ x (/ z y)) 9.0 (/ b z)) (* (* a t) 4.0)) (/ 1 c))

simplify2.6s

Counts
157 → 157
Iterations
IterNodes
done5000
22144
1710
0289

prune1.7s

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 5.9b

regimes3.1s

Accuracy

59.2% (3.4b remaining)

Error of 7.3b against oracle of 3.9b and baseline of 12.3b

bsearch209.0ms

Steps
ItersRangePoint
4
4.890897852193444e-117
9.570365654555245e-117
9.378696137572198e-117
8
-2.071396300843637e-79
-2.7324124336146544e-83
-2.0374603215218364e-79

simplify14.0ms

Iterations
IterNodes
done45
145
032

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.8s12738×body80valid