Details

Time bar (total: 36.5s)

sample69.0ms

Algorithm
intervals
Results
29.0ms343×body80valid

simplify8.3s

Counts
1 → 1
Iterations
IterNodes
done5001
83211
71893
61154
5639
4260
3105
244
122
08

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize85.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite432.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×expm1-log1p-u cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 53
Calls
2 calls:
263.0ms
(* x (+ (- y z) 1.0))
163.0ms
(/ (* x (+ (- y z) 1.0)) z)

series187.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* x (+ (- y z) 1.0))
102.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify3.3s

Counts
59 → 59
Iterations
IterNodes
done5000
21036
1281
0100

prune740.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize111.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
0.0b
(fma (/ x z) 1.0 (* (/ x z) y))
3.6b
(* (/ x z) y)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt
13×associate-*l*
10×times-frac
9×prod-diff
8×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*r* insert-posit16 log1p-expm1-u
2×prod-exp cbrt-unprod fma-udef unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ associate--l+ *-commutative div-inv flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 76
Calls
3 calls:
21.0ms
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
1.0ms
(fma (/ x z) 1.0 (* (/ x z) y))
49.0ms
(* (/ x z) y)

series279.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(- (fma (/ x z) 1.0 (* (/ x z) y)) x)
116.0ms
(fma (/ x z) 1.0 (* (/ x z) y))
53.0ms
(* (/ x z) y)

simplify7.6s

Counts
85 → 85
Iterations
IterNodes
done5000
33950
2899
1305
0133

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.9b
(/ x (/ z (+ (- y z) 1.0)))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 145
Calls
2 calls:
82.0ms
(/ z (+ (- y z) 1.0))
151.0ms
(/ x (/ z (+ (- y z) 1.0)))

series185.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(/ z (+ (- y z) 1.0))
92.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify4.2s

Counts
151 → 151
Iterations
IterNodes
done5001
21767
1524
0206

prune1.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize118.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
0.1b
(* z (/ 1 (+ (- y z) 1.0)))
2.9b
(/ x (* z (/ 1 (+ (- y z) 1.0))))

rewrite523.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
35×times-frac
32×add-sqr-sqrt
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
14×distribute-lft-out
11×div-exp
8×prod-exp
7×distribute-lft-out--
6×pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
4×cbrt-unprod
3×expm1-log1p-u rec-exp 1-exp associate-*l* insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
2×clear-num frac-2neg flip3-+ associate-*r/ un-div-inv flip-+
1×pow-prod-down *-commutative pow-flip inv-pow
Counts
3 → 121
Calls
3 calls:
97.0ms
(/ 1 (+ (- y z) 1.0))
279.0ms
(* z (/ 1 (+ (- y z) 1.0)))
130.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

series290.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(/ 1 (+ (- y z) 1.0))
97.0ms
(* z (/ 1 (+ (- y z) 1.0)))
98.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

simplify3.5s

Counts
130 → 130
Iterations
IterNodes
done5002
21372
1391
0160

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes578.0ms

Accuracy

71.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.7b

bsearch133.0ms

Steps
ItersRangePoint
9
3.626859992345971e-115
1.4068564513083133e-108
3.0983310819560493e-110
9
-7.148907694333694e-135
-3.2474282444669577e-142
-7.814855256918435e-142

simplify21.0ms

Iterations
IterNodes
done28
128
022

end0.0ms

sample1.4s

Algorithm
intervals
Results
844.0ms10096×body80valid