Details

Time bar (total: 14.1s)

sample28.0ms

Algorithm
intervals
Results
12.0ms313×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5002
82925
71629
6983
5570
4240
399
242
122
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.1b
(/ (* x (+ (- y z) 1.0)) z)

rewrite96.0ms

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×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ 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 → 47
Calls
2 calls:
64.0ms
(* x (+ (- y z) 1.0))
31.0ms
(/ (* x (+ (- y z) 1.0)) z)

series80.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (+ (- y z) 1.0))
45.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify2.2s

Counts
53 → 53
Iterations
IterNodes
done5001
34390
2894
1266
094

prune266.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.0b
(/ x (/ z (+ (- y z) 1.0)))

rewrite102.0ms

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×pow1 clear-num frac-2neg add-log-exp
Counts
2 → 139
Calls
2 calls:
46.0ms
(/ z (+ (- y z) 1.0))
46.0ms
(/ x (/ z (+ (- y z) 1.0)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ z (+ (- y z) 1.0))
59.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.3s

Counts
145 → 145
Iterations
IterNodes
done5001
21761
1512
0200

prune461.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (- y z) 1.0) x)
9.2b
(* (/ 1 z) (* (+ (- y z) 1.0) x))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×associate-*l*
16×*-un-lft-identity add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt
9×pow1 times-frac
7×associate-*l/ cbrt-unprod
4×div-exp associate-*r* pow-prod-down
3×flip3-+ flip-+
2×frac-times cbrt-undiv rec-exp 1-exp associate-*r/ *-commutative distribute-lft-out add-log-exp
1×div-inv distribute-lft-out-- unswap-sqr
Counts
2 → 63
Calls
2 calls:
74.0ms
(* (+ (- y z) 1.0) x)
73.0ms
(* (/ 1 z) (* (+ (- y z) 1.0) x))

series92.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* (+ (- y z) 1.0) x)
46.0ms
(* (/ 1 z) (* (+ (- y z) 1.0) x))

simplify1.3s

Counts
69 → 69
Iterations
IterNodes
done5002
21189
1370
0124

prune260.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (- y z) 1.0))
0.2b
(/ z (sqrt (+ (- y z) 1.0)))
0.5b
(/ x (/ z (sqrt (+ (- y z) 1.0))))
1.7b
(* (sqrt (+ (- y z) 1.0)) (/ x (/ z (sqrt (+ (- y z) 1.0)))))

rewrite328.0ms

Algorithm
rewrite-expression-head
Rules
382×times-frac
326×*-un-lft-identity
218×add-sqr-sqrt
191×add-cube-cbrt
141×sqrt-prod
95×associate-*r*
54×distribute-lft-out
38×associate-/r*
27×distribute-lft-out--
22×sqrt-div
20×add-cbrt-cube add-exp-log
18×associate-/r/
11×flip3-+ flip-+
10×div-inv
8×associate-*l* unswap-sqr
7×pow1 cbrt-undiv div-exp
6×associate-/l*
4×add-log-exp
3×prod-exp cbrt-unprod
2×frac-times clear-num frac-2neg associate-*l/
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down associate-*r/ *-commutative
Counts
4 → 335
Calls
4 calls:
26.0ms
(sqrt (+ (- y z) 1.0))
51.0ms
(/ z (sqrt (+ (- y z) 1.0)))
46.0ms
(/ x (/ z (sqrt (+ (- y z) 1.0))))
181.0ms
(* (sqrt (+ (- y z) 1.0)) (/ x (/ z (sqrt (+ (- y z) 1.0)))))

series315.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(sqrt (+ (- y z) 1.0))
105.0ms
(/ z (sqrt (+ (- y z) 1.0)))
117.0ms
(/ x (/ z (sqrt (+ (- y z) 1.0))))
45.0ms
(* (sqrt (+ (- y z) 1.0)) (/ x (/ z (sqrt (+ (- y z) 1.0)))))

simplify2.4s

Counts
347 → 347
Iterations
IterNodes
done5000
24161
11128
0397

prune1.4s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes298.0ms

Accuracy

97.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.3b

bsearch138.0ms

Steps
ItersRangePoint
9
7284904392851012.0
2.927545137912998e+21
16865043719047694.0
10
-891334.2001029095
-2.2780553615039726e-08
-0.00023400303128051926

simplify6.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample937.0ms

Algorithm
intervals
Results
603.0ms10150×body80valid