Details

sample62.0ms

Algorithm

intervals

Results

15.0ms	294×	body	80	valid
10.0ms	250×	body	80	nan

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	30	8
1	89	7
2	291	7
3	898	7
4	2565	7
5	5001	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`log-prod` `add-log-exp`
8×	`pow1` `associate-l`
7×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out` `associate--r+`
5×	`fma-neg` `prod-diff`
3×	`expm1-log1p-u` `diff-log` `sum-log` `log1p-expm1-u`
2×	`flip3--` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `associate--l+` `log-pow` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 84

Calls

3 calls:

20.0ms	(* (- a 0.5) b)
194.0ms	(- (+ (+ x y) z) (* z (log t)))
15.0ms	(* z (log t))

series93.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* (- a 0.5) b)
30.0ms	(- (+ (+ x y) z) (* z (log t)))
37.0ms	(* z (log t))

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	371	485
1	1619	424
2	5002	407

prune251.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(* (- a 0.5) b)
0.1b	(fma z (- 1 (log t)) (+ x y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`prod-diff`
9×	`pow1`
5×	`add-exp-log` `associate-l` `add-cbrt-cube`
4×	`log-pow` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `fma-neg` `associate-r` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `difference-of-squares`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

8.0ms	(- 1 (log t))
23.0ms	(* (- a 0.5) b)
0.0ms	(fma z (- 1 (log t)) (+ x y))

series197.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(- 1 (log t))
30.0ms	(* (- a 0.5) b)
46.0ms	(fma z (- 1 (log t)) (+ x y))

simplify36.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	312	455
1	1120	313
2	5001	265

prune208.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (log (sqrt t)))
0.1b	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
0.1b	(fma z (- 1 (log (sqrt t))) (+ x y))
0.3b	(* (log (sqrt t)) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
21×	`prod-diff`
20×	`add-cube-cbrt`
15×	`pow1`
13×	`log-pow`
7×	`add-log-exp`
6×	`add-exp-log` `log-prod` `fma-neg` `associate-l` `add-cbrt-cube` `associate--r+`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `log1p-expm1-u`
3×	`associate-r` `sqrt-prod`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

10.0ms	(- 1 (log (sqrt t)))
6.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
0.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
9.0ms	(* (log (sqrt t)) z)

series401.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- 1 (log (sqrt t)))
131.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
91.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
109.0ms	(* (log (sqrt t)) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	467	979
1	1609	755
2	5002	751

prune331.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log (sqrt t))) (cbrt (log (sqrt t))))
0.5b	(cbrt (log (sqrt t)))
0.5b	(cbrt (log (sqrt t)))
0.5b	(cbrt (log (sqrt t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod`
27×	`pow1`
23×	`add-sqr-sqrt` `log-pow`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`pow1/3` `associate-r` `associate-l`
7×	`sqrt-pow1` `pow1/2`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

18.0ms	(* (cbrt (log (sqrt t))) (cbrt (log (sqrt t))))
1.0ms	(cbrt (log (sqrt t)))
1.0ms	(cbrt (log (sqrt t)))
1.0ms	(cbrt (log (sqrt t)))

series951.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(* (cbrt (log (sqrt t))) (cbrt (log (sqrt t))))
214.0ms	(cbrt (log (sqrt t)))
231.0ms	(cbrt (log (sqrt t)))
220.0ms	(cbrt (log (sqrt t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	450	1134
1	1823	1019
2	5002	955

prune435.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes359.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

383.0ms	9170×	body	80	valid
315.0ms	9205×	body	80	nan
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid