Details

Time bar (total: 9.9s)

sample45.0ms

Algorithm
intervals
Results
17.0ms324×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2469
31199
44089
515199
done50019

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.7b
(/ (* x (+ (- y z) 1.0)) z)

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
96.0ms
(* x (+ (- y z) 1.0))
78.0ms
(/ (* x (+ (- y z) 1.0)) z)

series101.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (+ (- y z) 1.0))
59.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.1s

Counts
57 → 57
Iterations

Useful iterations: done (1.1s)

IterNodesCost
098645
1280625
21311539
done5001531

prune260.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.7b
(/ x (/ z (+ (- y z) 1.0)))

rewrite121.0ms

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:
60.0ms
(/ z (+ (- y z) 1.0))
54.0ms
(/ x (/ z (+ (- y z) 1.0)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ z (+ (- y z) 1.0))
76.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.2s

Counts
149 → 149
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02042436
15282285
225542180
done50002177

prune476.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite173.0ms

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:
74.0ms
(/ (+ (- y z) 1.0) z)
96.0ms
(* x (/ (+ (- y z) 1.0) z))

series96.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (+ (- y z) 1.0) z)
52.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify854.0ms

Counts
86 → 86
Iterations

Useful iterations: 2 (177.0ms)

IterNodesCost
01111039
1292999
21307903
done5000903

prune321.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite159.0ms

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:
156.0ms
(* (/ x z) (+ (- y z) 1.0))

series83.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(* (/ x z) (+ (- y z) 1.0))

simplify1.3s

Counts
45 → 45
Iterations

Useful iterations: done (1.3s)

IterNodesCost
096577
1351565
21655510
done5000506

prune222.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes289.0ms

Accuracy

93.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.0b

bsearch116.0ms

Steps
ItersRangePoint
8
4.7121338597073946e+17
2.0110076054247779e+21
5.724342807205025e+18
9
-1.8932751032018817e-75
-9.154415681864661e-82
-1.5083267701132725e-75

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01835
12135
done2135

end0.0ms

sample1.1s

Algorithm
intervals
Results
559.0ms10089×body80valid