Details

sample58.0ms

Algorithm

intervals

Results

12.0ms	216×	body	80	valid
10.0ms	21×	body	1280	valid
7.0ms	24×	body	640	valid
4.0ms	22×	body	320	valid
4.0ms	100×	body	80	nan
1.0ms	12×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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: 6.3b

localize11.0ms

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))))
8.6b	(log (/ y (+ z y)))

rewrite180.0ms

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:

126.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
13.0ms	(/ y (+ z y))
26.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
57.0ms	(/ y (+ z y))
107.0ms	(* y (log (/ y (+ z y))))
81.0ms	(log (/ y (+ z y)))

simplify1.5s

Counts

141 → 141

Iterations

Useful iterations: 3 (720.0ms)

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

prune461.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
3.8b	(log (/ (cbrt y) (cbrt (+ z y))))
3.8b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

7.0ms	(cbrt (+ z y))
7.0ms	(cbrt (+ z y))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series556.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (+ z y))
226.0ms	(cbrt (+ z y))
84.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
79.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.5s

Counts

158 → 158

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	189	2450
1	357	2282
2	680	2192
3	1391	2118
4	3360	2110
done	5000	2110

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (exp (- z)) y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log` `associate-/l/`
1×	`pow1` `cbrt-undiv` `neg-sub0` `exp-neg` `frac-2neg` `exp-diff` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

23.0ms

(/ (exp (- z)) y)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(/ (exp (- z)) y)

simplify2.9s

Counts

32 → 32

Iterations

Useful iterations: 3 (221.0ms)

Iter	Nodes	Cost
0	64	299
1	117	289
2	281	269
3	680	267
4	2766	267
done	5001	267

prune94.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y)))
5.3b	(pow (/ y (+ z y)) y)
5.3b	(pow (/ y (+ z y)) (* 2 y))
25.5b	(/ (- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y))) (- x (/ (pow (/ y (+ z y)) y) y)))

rewrite500.0ms

Algorithm

rewrite-expression-head

Rules

221×	`add-sqr-sqrt`
196×	`times-frac`
100×	`difference-of-squares`
76×	`unpow-prod-down`
70×	`*-un-lft-identity`
40×	`add-cube-cbrt`
22×	`sqr-pow`
12×	`add-exp-log`
9×	`associate-/r*` `distribute-lft-out--`
8×	`associate-/l*`
6×	`pow1` `associate-/r/` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
4×	`pow-unpow` `pow-exp`
3×	`flip3--` `div-exp` `flip--` `div-inv`
2×	`pow-to-exp` `pow-pow` `flip3-+` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `clear-num`

Counts

4 → 187

Calls

4 calls:

73.0ms	(- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y)))
16.0ms	(pow (/ y (+ z y)) y)
22.0ms	(pow (/ y (+ z y)) (* 2 y))
371.0ms	(/ (- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y))) (- x (/ (pow (/ y (+ z y)) y) y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y)))
381.0ms	(pow (/ y (+ z y)) y)
346.0ms	(pow (/ y (+ z y)) (* 2 y))
368.0ms	(/ (- (* x x) (/ (pow (/ y (+ z y)) (* 2 y)) (* y y))) (- x (/ (pow (/ y (+ z y)) y) y)))

simplify1.6s

Counts

199 → 199

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	421	7160
1	1034	7013
2	2649	6679
done	5001	6283

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	28
1	22	28
done	22	28

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.1s	959×	body	640	valid
679.0ms	791×	body	1280	valid
663.0ms	6515×	body	80	valid
251.0ms	3061×	body	80	nan
228.0ms	560×	body	320	valid
63.0ms	313×	body	160	valid