Details

Time bar (total: 8.7s)

sample18.0ms

Algorithm
intervals
Results
7.0ms321×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1229
2459
31129
42219
53539
65819
716209
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize7.0ms

Local error

Found 1 expressions with local error:

10.2b
(/ (* x (+ (- y z) 1.0)) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv associate-*r/ div-exp associate-/l/
1×pow1 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
18.0ms
(/ (* x (+ (- y z) 1.0)) z)

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.7s

Counts
28 → 28
Iterations

Useful iterations: 3 (355.0ms)

IterNodesCost
067364
1189354
2822297
34088295
done5001295

prune71.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.4b
(/ x (/ z (+ (- y z) 1.0)))

rewrite49.0ms

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-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
18.0ms
(/ z (+ (- y z) 1.0))
23.0ms
(/ x (/ z (+ (- y z) 1.0)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ z (+ (- y z) 1.0))
51.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify709.0ms

Counts
149 → 149
Iterations

Useful iterations: 2 (161.0ms)

IterNodesCost
02042436
14702269
220782172
done50012172

prune303.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 80
Calls
2 calls:
33.0ms
(/ (+ (- y z) 1.0) z)
46.0ms
(* x (/ (+ (- y z) 1.0) z))

series75.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (+ (- y z) 1.0) z)
47.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify2.6s

Counts
86 → 86
Iterations

Useful iterations: 3 (528.0ms)

IterNodesCost
01111039
1277987
21074899
34965891
done5000891

prune171.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.8b
(* (/ x z) (+ (- y z) 1.0))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×cbrt-undiv distribute-rgt-in expm1-log1p-u distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp
Counts
1 → 42
Calls
1 calls:
44.0ms
(* (/ x z) (+ (- y z) 1.0))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (/ x z) (+ (- y z) 1.0))

simplify523.0ms

Counts
45 → 45
Iterations

Useful iterations: done (521.0ms)

IterNodesCost
096577
1341565
21245506
done5001496

prune88.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes133.0ms

Accuracy

96.1% (0.1b remaining)

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

bsearch53.0ms

Steps
ItersRangePoint
8
9.730807647074458e-42
7.148789761863937e-38
7.031010429090227e-38
3
-2.963913886111119e+21
-2.2315266280282194e+21
-2.3712587244620863e+21

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01835
12135
done2135

end0.0ms

sample471.0ms

Algorithm
intervals
Results
249.0ms10093×body80valid