Details

sample48.0ms

Algorithm

intervals

Results

12.0ms	289×	body	80	valid
11.0ms	310×	body	80	nan

simplify55.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.2b	(* z (log t))

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

306.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
97.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series228.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
31.0ms	(* (- a 0.5) b)
32.0ms	(- (+ (+ x y) z) (* z (log t)))
39.0ms	(* z (log t))

simplify84.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	587	917
1	2882	830
2	5002	804

prune375.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`prod-diff`
10×	`pow1` `add-log-exp`
6×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3--` `frac-add` `log-pow` `flip--` `log1p-expm1-u`
3×	`log-prod` `fma-def` `flip3-+` `fma-neg` `associate-r` `sum-log` `flip-+` `associate--r+` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `associate-+l+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

13.0ms	(+ (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
4.0ms	(- 1 (log t))
0.0ms	(fma z (- 1 (log t)) (+ x y))

series380.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(+ (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))) (* (- a 0.5) b))
33.0ms	(* (- a 0.5) b)
123.0ms	(- 1 (log t))
46.0ms	(fma z (- 1 (log t)) (+ x y))

simplify70.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	561	973
1	2475	796
2	5001	736

prune351.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

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))
17.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series756.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(fma z (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) (+ x y))
272.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
182.0ms	(cbrt t)
181.0ms	(cbrt t)

simplify46.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (38.0ms)

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

prune439.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 81

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series756.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt t) (cbrt t))
179.0ms	(cbrt t)
174.0ms	(cbrt t)
187.0ms	(cbrt t)

simplify87.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune385.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes510.0ms

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	27	12
1	27	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

405.0ms	9162×	body	80	valid
343.0ms	9414×	body	80	nan
1.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid