Details

sample89.0ms

Algorithm

intervals

Results

27.0ms	27×	body	1280	valid
16.0ms	195×	body	80	valid
14.0ms	35×	body	640	valid
6.0ms	101×	body	80	nan
5.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	52	11
4	108	11
5	244	11
6	577	11
7	1850	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
9.3b	(log (/ y (+ z y)))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
41×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `associate-/r/` `add-cbrt-cube`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-r` `associate-/r*` `div-inv`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

166.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
22.0ms	(/ y (+ z y))
47.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
55.0ms	(/ y (+ z y))
131.0ms	(* y (log (/ y (+ z y))))
93.0ms	(log (/ y (+ z y)))

simplify1.5s

Counts

141 → 141

Iterations

Useful iterations: 3 (708.0ms)

Iter	Nodes	Cost
0	199	1893
1	382	1790
2	871	1647
3	2258	1598
done	5002	1598

prune460.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
4.3b	(log (/ (cbrt y) (cbrt (+ z y))))
4.3b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

2.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series785.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt y)
289.0ms	(cbrt y)
133.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
97.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.0s

Counts

152 → 152

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	173	2258
1	313	2100
2	563	2014
3	1082	1940
4	2382	1936
done	5000	1924

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))) (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))))
6.4b	(pow (/ y (+ z y)) y)
6.4b	(pow (/ y (+ z y)) y)
6.4b	(pow (/ y (+ z y)) y)

rewrite811.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
54×	`unpow-prod-down`
47×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
36×	`times-frac`
24×	`cbrt-prod`
15×	`add-exp-log` `distribute-lft-out`
14×	`pow1`
12×	`cbrt-div`
9×	`pow-unpow` `flip3-+` `swap-sqr` `flip-+`
7×	`associate-r` `associate-l`
6×	`pow1/3` `pow-exp` `associate-/r/`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `pow-pow` `div-exp` `div-inv` `sqr-pow`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

748.0ms	(* (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))) (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))))
21.0ms	(pow (/ y (+ z y)) y)
17.0ms	(pow (/ y (+ z y)) y)
13.0ms	(pow (/ y (+ z y)) y)

series1.5s

Counts

4 → 12

Calls

4 calls:

403.0ms	(* (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))) (cbrt (+ x (/ (pow (/ y (+ z y)) y) y))))
348.0ms	(pow (/ y (+ z y)) y)
374.0ms	(pow (/ y (+ z y)) y)
356.0ms	(pow (/ y (+ z y)) y)

simplify2.8s

Counts

164 → 164

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	212	3468
1	485	3170
2	1208	2980
3	3611	2719
done	5000	2707

prune758.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp (- z)) y)
0.0b	(+ (/ (exp (- z)) y) x)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

24.0ms	(/ (exp (- z)) y)
53.0ms	(+ (/ (exp (- z)) y) x)

series101.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (exp (- z)) y)
67.0ms	(+ (/ (exp (- z)) y) x)

simplify4.4s

Counts

47 → 47

Iterations

Useful iterations: 3 (322.0ms)

Iter	Nodes	Cost
0	87	481
1	181	457
2	444	427
3	1118	424
4	4683	424
done	5000	424

prune168.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

Details

sample89.0ms

simplify1.8s

prune5.0ms

localize13.0ms

rewrite253.0ms

series363.0ms

simplify1.5s

prune460.0ms

localize22.0ms

rewrite35.0ms

series785.0ms

simplify2.0s

prune1.0s

localize28.0ms

rewrite811.0ms

series1.5s

simplify2.8s

prune758.0ms

localize8.0ms

rewrite80.0ms

series101.0ms

simplify4.4s

prune168.0ms

regimes155.0ms

bsearch1.0ms