Details

sample48.0ms

Algorithm

intervals

Results

12.0ms	288×	body	80	valid
12.0ms	266×	body	80	nan

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`log-prod` `add-log-exp`
11×	`add-cube-cbrt`
6×	`pow1` `distribute-rgt-in` `distribute-lft-in` `distribute-lft-out` `associate--r+`
5×	`add-exp-log` `fma-neg` `prod-diff` `add-cbrt-cube`
4×	`associate-r`
3×	`expm1-log1p-u` `diff-log` `associate-l` `sum-log` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

0.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
98.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series183.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
33.0ms	(- (+ (+ x y) z) (* z (log t)))
39.0ms	(* z (log t))

simplify50.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	316	506
1	1388	439
2	5001	421

prune262.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
7×	`pow1`
4×	`log-pow` `add-log-exp`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `fma-neg` `add-cbrt-cube` `log1p-expm1-u` `associate--r+`
2×	`fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 56

Calls

3 calls:

0.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
4.0ms	(- 1 (log t))
0.0ms	(fma z (- 1 (log t)) (+ x y))

series300.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
124.0ms	(- 1 (log t))
51.0ms	(fma z (- 1 (log t)) (+ x y))

simplify120.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	250	456
1	817	311
2	4188	263
3	5001	263

prune196.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) (+ x y))
0.3b	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

0.0ms	(fma z (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) (+ x y))
16.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series740.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(fma z (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) (+ x y))
278.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
177.0ms	(cbrt t)
177.0ms	(cbrt t)

simplify47.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	317	914
1	1146	667
2	5001	551

prune383.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b (- a 0.5) (+ (+ z (* (- z) (log t))) (+ x y)))
0.0b	(+ (+ z (* (- z) (log t))) (+ x y))
0.2b	(+ z (* (- z) (log t)))
0.3b	(* (- z) (log t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`add-log-exp`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`log-prod`
10×	`associate-l`
9×	`sum-log`
7×	`pow1` `associate-+r+`
6×	`add-exp-log` `distribute-rgt-in` `fma-def` `distribute-lft-in` `flip3-+` `add-cbrt-cube` `flip-+`
5×	`distribute-lft-neg-out`
4×	`expm1-log1p-u` `associate-r` `frac-add` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-lft-out`
2×	`+-commutative` `associate-+l-` `unsub-neg`
1×	`neg-mul-1` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

0.0ms	(fma b (- a 0.5) (+ (+ z (* (- z) (log t))) (+ x y)))
19.0ms	(+ (+ z (* (- z) (log t))) (+ x y))
3.0ms	(+ z (* (- z) (log t)))
6.0ms	(* (- z) (log t))

series262.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(fma b (- a 0.5) (+ (+ z (* (- z) (log t))) (+ x y)))
47.0ms	(+ (+ z (* (- z) (log t))) (+ x y))
47.0ms	(+ z (* (- z) (log t)))
37.0ms	(* (- z) (log t))

simplify65.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	546	763
1	2243	695
2	5002	645

prune392.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes409.0ms

Accuracy

0% (0.1b 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	22	11
1	22	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

535.0ms	9262×	body	80	nan
413.0ms	9177×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid