Details

Time bar (total: 23.5s)

sample127.0ms

Algorithm
intervals
Results
88.0ms482×body80valid

simplify5.5s

Counts
1 → 1
Iterations
IterNodes
done5000
64736
52602
4911
3255
286
133
018

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma t z (* y x))
0.0b
(- (fma t z (* y x)) (* i (* (fma b c a) c)))
0.1b
(* (fma b c a) c)
9.2b
(* i (* (fma b c a) c))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
6×associate-*l* add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
3×fma-neg prod-diff
2×*-commutative fma-udef
1×sub-neg flip3-- diff-log associate--l+ flip-- unswap-sqr
Counts
4 → 75
Calls
4 calls:
0.0ms
(fma t z (* y x))
15.0ms
(- (fma t z (* y x)) (* i (* (fma b c a) c)))
12.0ms
(* (fma b c a) c)
28.0ms
(* i (* (fma b c a) c))

series1.1s

Counts
4 → 12
Calls
4 calls:
73.0ms
(fma t z (* y x))
875.0ms
(- (fma t z (* y x)) (* i (* (fma b c a) c)))
65.0ms
(* (fma b c a) c)
70.0ms
(* i (* (fma b c a) c))

simplify1.3s

Counts
87 → 87
Iterations
IterNodes
done5000
2828
1256
0120

prune756.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma t z (* y x))
0.0b
(- (fma t z (* y x)) (* (* i (fma b c a)) c))
0.5b
(* i (fma b c a))
3.7b
(* (* i (fma b c a)) c)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod fma-udef insert-posit16 log1p-expm1-u
3×fma-neg prod-diff
2×*-commutative
1×distribute-rgt-in sub-neg distribute-lft-in flip3-- diff-log associate--l+ flip-- unswap-sqr
Counts
4 → 77
Calls
4 calls:
0.0ms
(fma t z (* y x))
9.0ms
(- (fma t z (* y x)) (* (* i (fma b c a)) c))
10.0ms
(* i (fma b c a))
23.0ms
(* (* i (fma b c a)) c)

series1.1s

Counts
4 → 12
Calls
4 calls:
57.0ms
(fma t z (* y x))
858.0ms
(- (fma t z (* y x)) (* (* i (fma b c a)) c))
61.0ms
(* i (fma b c a))
78.0ms
(* (* i (fma b c a)) c)

simplify1.6s

Counts
89 → 89
Iterations
IterNodes
done5001
2950
1279
0126

prune856.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize54.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (fma b c a))
1.0b
(cbrt (fma b c a))
1.0b
(cbrt (fma b c a))
3.7b
(* (* (* i (* (cbrt (fma b c a)) (cbrt (fma b c a)))) (cbrt (fma b c a))) c)

rewrite582.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt (fma b c a))
1.0ms
(cbrt (fma b c a))
1.0ms
(cbrt (fma b c a))
577.0ms
(* (* (* i (* (cbrt (fma b c a)) (cbrt (fma b c a)))) (cbrt (fma b c a))) c)

series476.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(cbrt (fma b c a))
119.0ms
(cbrt (fma b c a))
144.0ms
(cbrt (fma b c a))
77.0ms
(* (* (* i (* (cbrt (fma b c a)) (cbrt (fma b c a)))) (cbrt (fma b c a))) c)

simplify1.6s

Counts
81 → 81
Iterations
IterNodes
done5000
21032
1277
0109

prune726.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize52.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma t z (* y x))
0.0b
(- (fma t z (* y x)) (pow (* (* c i) (fma b c a)) 1))
5.8b
(* (* c i) (fma b c a))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×*-un-lft-identity prod-diff
13×add-cube-cbrt
8×pow1 add-cbrt-cube add-exp-log
5×add-log-exp
4×fma-udef sqr-pow
3×expm1-log1p-u unpow-prod-down fma-neg associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
2×difference-of-squares
1×distribute-rgt-in sub-neg distribute-lft-in flip3-- diff-log associate-*l* associate--l+ *-commutative flip-- distribute-lft-out--
Counts
3 → 71
Calls
3 calls:
0.0ms
(fma t z (* y x))
10.0ms
(- (fma t z (* y x)) (pow (* (* c i) (fma b c a)) 1))
25.0ms
(* (* c i) (fma b c a))

series891.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(fma t z (* y x))
750.0ms
(- (fma t z (* y x)) (pow (* (* c i) (fma b c a)) 1))
80.0ms
(* (* c i) (fma b c a))

simplify1.4s

Counts
80 → 80
Iterations
IterNodes
done5000
21099
1342
0148

prune621.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

regimes887.0ms

Accuracy

0% (0.9b remaining)

Error of 1.9b against oracle of 1.0b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample3.8s

Algorithm
intervals
Results
2.9s15084×body80valid