Details

Time bar (total: 17.4s)

sample46.0ms

Algorithm
intervals
Results
16.0ms266×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
61407
5414
4156
365
230
114
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.8b
(/ x (* (- y z) (- t z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
add-cbrt-cube add-exp-log
frac-times associate-/r/
add-cube-cbrt
associate-*r* associate-*l*
pow1 associate-*l/ associate-*r/
times-frac associate-/l*
distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
clear-num associate-/r* frac-2neg pow-prod-down *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
33.0ms
(* (- y z) (- t z))
25.0ms
(/ x (* (- y z) (- t z)))

series223.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- y z) (- t z))
190.0ms
(/ x (* (- y z) (- t z)))

simplify817.0ms

Counts
69 → 69
Iterations
IterNodes
done5000
21653
1312
0124

prune333.0ms

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
(/ x (- y z))
1.1b
(/ (/ x (- y z)) (- t z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
add-cbrt-cube add-exp-log
flip3-- div-inv flip--
cbrt-undiv div-exp
pow1 clear-num frac-2neg add-log-exp
associate-/l/
Counts
2 → 185
Calls
2 calls:
13.0ms
(/ x (- y z))
25.0ms
(/ (/ x (- y z)) (- t z))

series208.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ x (- y z))
166.0ms
(/ (/ x (- y z)) (- t z))

simplify1.2s

Counts
191 → 191
Iterations
IterNodes
done5000
22496
1652
0264

prune976.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) x)
0.2b
(/ 1 (/ (- y z) x))
1.1b
(/ (/ 1 (/ (- y z) x)) (- t z))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
1054×times-frac
680×add-sqr-sqrt *-un-lft-identity
414×add-cube-cbrt
133×distribute-lft-out-- difference-of-squares
70×associate-/l*
35×add-exp-log
31×div-inv
27×associate-/r*
22×div-exp
19×add-cbrt-cube
10×cbrt-undiv
associate-/r/
pow1 rec-exp 1-exp
clear-num frac-2neg add-log-exp associate-/l/
flip3-- flip--
div-sub pow-flip inv-pow
Counts
3 → 538
Calls
3 calls:
14.0ms
(/ (- y z) x)
19.0ms
(/ 1 (/ (- y z) x))
50.0ms
(/ (/ 1 (/ (- y z) x)) (- t z))

series432.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- y z) x)
82.0ms
(/ 1 (/ (- y z) x))
301.0ms
(/ (/ 1 (/ (- y z) x)) (- t z))

simplify1.1s

Counts
547 → 547
Iterations
IterNodes
done5001
11855
0669

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (/ 1 (- t z)) (/ (cbrt (- y z)) x))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
1551×times-frac
910×add-sqr-sqrt *-un-lft-identity
598×add-cube-cbrt
345×cbrt-prod
156×distribute-lft-out-- difference-of-squares
59×associate-/r/
52×div-inv
32×flip3-- flip--
28×associate-/r*
26×add-exp-log
21×associate-/l*
16×div-exp
14×add-cbrt-cube
cbrt-undiv
cbrt-div
pow1 add-log-exp
pow1/3
rec-exp 1-exp
clear-num frac-2neg associate-/l/
Counts
4 → 706
Calls
4 calls:
53.0ms
(/ (/ 1 (- t z)) (/ (cbrt (- y z)) x))
5.0ms
(cbrt (- y z))
6.0ms
(cbrt (- y z))
6.0ms
(cbrt (- y z))

series2.0s

Counts
4 → 12
Calls
4 calls:
1.3s
(/ (/ 1 (- t z)) (/ (cbrt (- y z)) x))
245.0ms
(cbrt (- y z))
196.0ms
(cbrt (- y z))
236.0ms
(cbrt (- y z))

simplify2.3s

Counts
718 → 718
Iterations
IterNodes
done5002
13435
0962

prune2.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes551.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done17
117
014

end0.0ms

sample1.3s

Algorithm
intervals
Results
814.0ms8450×body80valid