Details

sample53.0ms

Algorithm

intervals

Results

12.0ms	27×	body	1280	valid
8.0ms	193×	body	80	valid
8.0ms	31×	body	640	valid
4.0ms	24×	body	320	valid
3.0ms	105×	body	80	nan
1.0ms	12×	body	160	valid

simplify125.0ms

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: 8.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
10.3b	(log (/ y (+ z y)))

rewrite128.0ms

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:

11.0ms	(/ y (+ z y))
83.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
23.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ y (+ z y))
71.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
78.0ms	(* y (log (/ y (+ z y))))
51.0ms	(log (/ y (+ z y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	381	1006
1	1513	928
2	5001	904

prune331.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
2.9b	(log (/ (cbrt y) (cbrt (+ z y))))
2.9b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite33.0ms

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:

4.0ms	(cbrt (+ z y))
4.0ms	(cbrt (+ z y))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series417.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (+ z y))
134.0ms	(cbrt (+ z y))
75.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
76.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify158.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	353	1566
1	961	1516
2	4057	1484
3	5002	1484

prune911.0ms

Pruning

2 alts after pruning (1 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)

rewrite25.0ms

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:

15.0ms	(+ x (/ (exp (* -1 z)) y))
9.0ms	(/ (exp (* -1 z)) y)

series44.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ x (/ (exp (* -1 z)) y))
21.0ms	(/ (exp (* -1 z)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (17.0ms)

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

prune106.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))
0.6b	(cbrt (/ (exp (* -1 z)) y))
0.6b	(cbrt (/ (exp (* -1 z)) y))
0.6b	(cbrt (/ (exp (* -1 z)) y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

33.0ms	(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))
3.0ms	(cbrt (/ (exp (* -1 z)) y))
3.0ms	(cbrt (/ (exp (* -1 z)) y))
3.0ms	(cbrt (/ (exp (* -1 z)) y))

series328.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))
78.0ms	(cbrt (/ (exp (* -1 z)) y))
71.0ms	(cbrt (/ (exp (* -1 z)) y))
77.0ms	(cbrt (/ (exp (* -1 z)) y))

simplify56.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	325	1726
1	1144	1645
2	5002	1565

prune511.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes65.0ms

Accuracy

46.8% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.2b

bsearch75.0ms

Steps

Iters	Range		Point
10	-2.567850748126576e+63	-4.131982550696902e+45	-1.6114585939872277e+54

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	20
1	31	20

end0.0ms

sample1.5s

Algorithm

intervals

Results

342.0ms	793×	body	1280	valid
296.0ms	6477×	body	80	valid
233.0ms	895×	body	640	valid
98.0ms	3029×	body	80	nan
94.0ms	558×	body	320	valid
38.0ms	376×	body	160	valid