Details

sample74.0ms

Algorithm

intervals

Results

22.0ms	208×	body	80	valid
13.0ms	20×	body	1280	valid
11.0ms	25×	body	640	valid
7.0ms	98×	body	80	nan
5.0ms	18×	body	320	valid
2.0ms	11×	body	160	valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	109	7
4	307	7
5	777	7
6	4145	7
7	5002	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
7.9b	(log (/ y (+ z y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`associate-r` `associate-/r*`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 163

Calls

4 calls:

5.0ms	(/ y (+ z y))
9.0ms	(exp (* y (log (/ y (+ z y)))))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ y (+ z y))
219.0ms	(exp (* y (log (/ y (+ z y)))))
75.0ms	(* y (log (/ y (+ z y))))
51.0ms	(log (/ y (+ z y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	524	1242
1	2038	1155
2	5003	1146

prune344.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
0.0b	(/ y (+ z y))
0.1b	(pow (exp y) (log (/ y (+ z y))))
7.9b	(log (/ y (+ z y)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-up`
11×	`distribute-lft-out`
9×	`add-exp-log`
7×	`pow1`
6×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
4×	`pow-unpow` `pow-pow` `flip3-+` `associate-/r*` `flip-+`
3×	`unpow-prod-down` `exp-prod` `div-inv` `associate-/l*`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `sum-log` `pow-sub` `sqr-pow`

Counts

4 → 114

Calls

4 calls:

40.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
5.0ms	(/ y (+ z y))
6.0ms	(pow (exp y) (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
40.0ms	(/ y (+ z y))
140.0ms	(pow (exp y) (log (/ y (+ z y))))
47.0ms	(log (/ y (+ z y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	508	904
1	1744	861
2	5002	842

prune340.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
7.9b	(log (/ y (+ z y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`log-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 62

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
4.0ms	(log (/ y (+ z y)))

series573.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt y)
175.0ms	(cbrt y)
171.0ms	(cbrt y)
51.0ms	(log (/ y (+ z y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	187	315
1	420	293
2	1231	278
3	5002	274

prune256.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (exp (* -1 z)) y))
0.0b	(/ (exp (* -1 z)) y)

rewrite10.0ms

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`
1×	`cbrt-undiv` `+-commutative` `exp-neg` `frac-2neg` `mul-1-neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `associate-/l/` `distribute-lft-out`

Counts

2 → 40

Calls

2 calls:

6.0ms	(+ x (/ (exp (* -1 z)) y))
3.0ms	(/ (exp (* -1 z)) y)

series40.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ x (/ (exp (* -1 z)) y))
19.0ms	(/ (exp (* -1 z)) y)

simplify68.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	176	274
1	464	258
2	2001	256
3	5002	256

prune95.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	12
1	16	12

end0.0ms

sample2.3s

Algorithm

intervals

Results

694.0ms	6569×	body	80	valid
477.0ms	746×	body	1280	valid
395.0ms	934×	body	640	valid
226.0ms	3148×	body	80	nan
165.0ms	554×	body	320	valid
60.0ms	299×	body	160	valid