Details

Time bar (total: 1.7m)

sample45.0ms

Algorithm
intervals
Results
22.0ms400×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5000
74383
61002
5377
4203
3110
259
123
011

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ z x) y)
0.2b
(* (/ (+ z x) y) (- x z))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
39×add-sqr-sqrt
32×add-cube-cbrt
25×times-frac
18×prod-diff
16×associate-*l*
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
7×distribute-lft-out
5×associate-*r*
4×pow1 associate-/l*
3×associate-/r*
2×expm1-log1p-u frac-times cbrt-undiv sub-neg flip3-- div-exp prod-exp associate-*r/ cbrt-unprod log1p-expm1-u div-inv flip-- add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ pow-prod-down associate-*l/ *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 100
Calls
2 calls:
19.0ms
(/ (+ z x) y)
77.0ms
(* (/ (+ z x) y) (- x z))

series111.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (+ z x) y)
83.0ms
(* (/ (+ z x) y) (- x z))

simplify2.6s

Counts
106 → 106
Iterations
IterNodes
done5000
23140
1516
0180

prune614.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (/ y x)) (/ z (/ y z)))
0.1b
(/ x (/ y x))
0.2b
(/ z (/ y z))

rewrite510.0ms

Algorithm
rewrite-expression-head
Rules
6058×times-frac
3240×add-sqr-sqrt
3224×*-un-lft-identity
3204×add-cube-cbrt
1936×prod-diff
368×div-inv
91×associate-/r/
44×fma-neg
26×associate-/r*
13×add-cbrt-cube add-exp-log
9×difference-of-squares
6×cbrt-undiv div-exp associate-/l* distribute-lft-out--
5×add-log-exp
3×expm1-log1p-u pow1 log1p-expm1-u
2×clear-num frac-2neg
1×sub-neg flip3-- diff-log frac-sub flip--
Counts
3 → 2154
Calls
3 calls:
159.0ms
(- (/ x (/ y x)) (/ z (/ y z)))
13.0ms
(/ x (/ y x))
22.0ms
(/ z (/ y z))

series116.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (/ x (/ y x)) (/ z (/ y z)))
34.0ms
(/ x (/ y x))
22.0ms
(/ z (/ y z))

simplify3.0s

Counts
2163 → 2163
Iterations
IterNodes
done5001
02429

prune19.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (/ y x)) (/ (* z z) y))
0.1b
(/ x (/ y x))
11.2b
(/ (* z z) y)

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
747×times-frac
433×add-sqr-sqrt
417×*-un-lft-identity
415×add-cube-cbrt
308×prod-diff
82×div-inv
44×fma-neg
16×associate-/r*
13×add-cbrt-cube add-exp-log
9×associate-/r/
6×difference-of-squares
5×cbrt-undiv div-exp add-log-exp
4×associate-/l*
3×expm1-log1p-u pow1 log1p-expm1-u
2×clear-num frac-2neg
1×sub-neg flip3-- diff-log prod-exp frac-sub cbrt-unprod flip-- distribute-lft-out--
Counts
3 → 469
Calls
3 calls:
83.0ms
(- (/ x (/ y x)) (/ (* z z) y))
7.0ms
(/ x (/ y x))
10.0ms
(/ (* z z) y)

series139.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(- (/ x (/ y x)) (/ (* z z) y))
27.0ms
(/ x (/ y x))
32.0ms
(/ (* z z) y)

simplify1.1s

Counts
478 → 478
Iterations
IterNodes
done5000
11338
0556

prune3.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (/ 1 z))
0.2b
(/ x (/ 1 x))
0.9b
(- (/ x (/ 1 x)) (/ z (/ 1 z)))
12.6b
(* (/ 1 y) (- (/ x (/ 1 x)) (/ z (/ 1 z))))

rewrite2.4s

Algorithm
rewrite-expression-head
Rules
17771×times-frac
9510×add-sqr-sqrt
9444×*-un-lft-identity
9375×add-cube-cbrt
5808×prod-diff
1938×distribute-rgt-in distribute-lft-in
1079×div-inv
267×associate-/r/
44×fma-neg
32×difference-of-squares
31×add-exp-log
27×associate-*r*
26×associate-/r*
19×add-cbrt-cube
16×distribute-lft-out--
14×div-exp
13×associate-*l*
12×pow1
7×cbrt-undiv
6×associate-/l* add-log-exp
4×expm1-log1p-u prod-exp log1p-expm1-u pow-div
3×frac-times rec-exp sub-neg flip3-- 1-exp associate-*r/ frac-sub flip-- unswap-sqr
2×clear-num frac-2neg cbrt-unprod pow-flip inv-pow
1×diff-log pow-prod-down associate-*l/ *-commutative
Counts
4 → 6114
Calls
4 calls:
14.0ms
(/ z (/ 1 z))
16.0ms
(/ x (/ 1 x))
232.0ms
(- (/ x (/ 1 x)) (/ z (/ 1 z)))
890.0ms
(* (/ 1 y) (- (/ x (/ 1 x)) (/ z (/ 1 z))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ z (/ 1 z))
38.0ms
(/ x (/ 1 x))
50.0ms
(- (/ x (/ 1 x)) (/ z (/ 1 z)))
121.0ms
(* (/ 1 y) (- (/ x (/ 1 x)) (/ z (/ 1 z))))

simplify8.7s

Counts
6126 → 6126
Iterations
IterNodes
done5701
05701

prune57.4s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes228.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s13547×body80valid