Details

sample51.0ms

Algorithm

intervals

Results

14.0ms	33×	body	1280	valid
10.0ms	210×	body	80	valid
7.0ms	26×	body	640	valid
3.0ms	103×	body	80	nan
2.0ms	14×	body	320	valid
2.0ms	17×	body	160	valid

simplify115.0ms

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: 6.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
9.4b	(log (/ y (+ z y)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
49×	`*-un-lft-identity`
36×	`times-frac`
31×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
10×	`distribute-lft-out`
8×	`add-exp-log`
7×	`pow1`
6×	`associate-/r/`
5×	`add-cbrt-cube` `add-log-exp`
4×	`flip3-+` `associate-r` `flip-+`
3×	`associate-l` `div-inv`
2×	`rem-log-exp` `log-pow`
1×	`+-commutative` `log-div` `div-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 96

Calls

3 calls:

67.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
74.0ms	(* y (log (/ y (+ z y))))
46.0ms	(log (/ y (+ z y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	340	853
1	1141	784
2	3487	755
3	5001	755

prune226.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.9b	(log (/ (cbrt y) (cbrt (+ z y))))
3.9b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite22.0ms

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:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series479.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt y)
174.0ms	(cbrt y)
67.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
70.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify77.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	310	1470
1	757	1424
2	2327	1392
3	5001	1324

prune548.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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))
4.0ms	(/ (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 (16.0ms)

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

prune105.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity` `times-frac`
10×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`associate-l` `unswap-sqr`
2×	`exp-neg` `mul-1-neg` `div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `frac-times` `rec-exp` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `un-div-inv` `*-commutative` `flip-+` `div-inv`

Counts

2 → 49

Calls

2 calls:

13.0ms	(* (exp (* -1 z)) (/ 1 y))
2.0ms	(+ x (* (exp (* -1 z)) (/ 1 y)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(* (exp (* -1 z)) (/ 1 y))
22.0ms	(+ x (* (exp (* -1 z)) (/ 1 y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	268	328
1	1019	287
2	5001	267

prune116.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

30% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	33
1	48	33

end0.0ms

sample1.4s

Algorithm

intervals

Results

351.0ms	791×	body	1280	valid
305.0ms	6554×	body	80	valid
239.0ms	912×	body	640	valid
99.0ms	595×	body	320	valid
98.0ms	3015×	body	80	nan
31.0ms	291×	body	160	valid