Details

Time bar (total: 12.4s)

sample45.0ms

Algorithm
intervals
Results
21.0ms339×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5001
51516
4404
3119
246
122
08

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.2b
(/ (* x (+ (- y z) 1.0)) z)

rewrite133.0ms

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-+ 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 → 51
Calls
2 calls:
92.0ms
(* x (+ (- y z) 1.0))
39.0ms
(/ (* x (+ (- y z) 1.0)) z)

series114.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* x (+ (- y z) 1.0))
69.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.0s

Counts
57 → 57
Iterations
IterNodes
done5000
21306
1280
098

prune253.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (* x 1.0) z) x)
1.4b
(fma (/ x z) y (- (/ (* x 1.0) z) x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
21×prod-diff
19×add-sqr-sqrt *-un-lft-identity
17×add-cube-cbrt
12×times-frac
7×fma-neg
4×div-inv add-log-exp
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
1×sub-neg flip3-- diff-log fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
15.0ms
(- (/ (* x 1.0) z) x)
0.0ms
(fma (/ x z) y (- (/ (* x 1.0) z) x))

series95.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (/ (* x 1.0) z) x)
58.0ms
(fma (/ x z) y (- (/ (* x 1.0) z) x))

simplify1.4s

Counts
60 → 60
Iterations
IterNodes
done5000
32949
2596
1216
0100

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ 1.0 y) z)
0.0b
(/ z (- (+ 1.0 y) z))
3.5b
(/ x (/ z (- (+ 1.0 y) z)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
180×*-un-lft-identity
162×times-frac
121×add-sqr-sqrt
87×add-cube-cbrt
34×distribute-lft-out--
30×associate-/r*
21×distribute-lft-out
17×difference-of-squares
12×prod-diff
11×associate-/r/
10×add-cbrt-cube add-exp-log
8×add-log-exp
6×flip3-- div-inv flip-- associate-/l*
4×cbrt-undiv fma-neg div-exp
3×expm1-log1p-u pow1 log1p-expm1-u
2×clear-num frac-2neg diff-log
1×sum-log sub-neg associate--l+
Counts
3 → 194
Calls
3 calls:
65.0ms
(- (+ 1.0 y) z)
46.0ms
(/ z (- (+ 1.0 y) z))
39.0ms
(/ x (/ z (- (+ 1.0 y) z)))

series194.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(- (+ 1.0 y) z)
87.0ms
(/ z (- (+ 1.0 y) z))
81.0ms
(/ x (/ z (- (+ 1.0 y) z)))

simplify1.4s

Counts
203 → 203
Iterations
IterNodes
done5000
23561
1693
0269

prune830.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.3b
(* (* x (+ (- y z) 1.0)) (/ 1 z))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×associate-*r*
16×*-un-lft-identity add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt
9×pow1 times-frac
7×associate-*r/ cbrt-unprod
4×div-exp associate-*l* pow-prod-down
3×flip3-+ flip-+
2×expm1-log1p-u frac-times cbrt-undiv rec-exp 1-exp associate-*l/ *-commutative log1p-expm1-u distribute-lft-out add-log-exp
1×distribute-rgt-in distribute-lft-in un-div-inv div-inv distribute-lft-out-- unswap-sqr
Counts
2 → 70
Calls
2 calls:
81.0ms
(* x (+ (- y z) 1.0))
133.0ms
(* (* x (+ (- y z) 1.0)) (/ 1 z))

series129.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* x (+ (- y z) 1.0))
73.0ms
(* (* x (+ (- y z) 1.0)) (/ 1 z))

simplify2.9s

Counts
76 → 76
Iterations
IterNodes
done5001
22857
1430
0136

prune290.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes181.0ms

Accuracy

87.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch113.0ms

Steps
ItersRangePoint
8
2.8688185930688075e-86
3.352393382648864e-83
2.9652804375147e-86
10
-2.305774585920632e-81
-5.665459669390986e-96
-1.1262164609096229e-93

simplify3.0ms

Iterations
IterNodes
done30
130
021

end0.0ms

sample1.1s

Algorithm
intervals
Results
530.0ms10173×body80valid