Details

sample59.0ms

Algorithm

intervals

Results

13.0ms	292×	body	80	valid
12.0ms	334×	body	80	nan

simplify57.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite773.0ms

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:

20.0ms	(* (- a 0.5) b)
562.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
179.0ms	(- (+ (+ x y) z) (* z (log t)))
8.0ms	(* z (log t))

series241.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- a 0.5) b)
134.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
40.0ms	(- (+ (+ x y) z) (* z (log t)))
37.0ms	(* z (log t))

simplify81.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (69.0ms)

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

prune400.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (log (cbrt t)))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

9.0ms	(* z (log (cbrt t)))
24.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series540.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* z (log (cbrt t)))
99.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
173.0ms	(cbrt t)
173.0ms	(cbrt t)

simplify55.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	385	753
1	1637	640
2	5002	570

prune529.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

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:

8.0ms	(- 1 (log t))
21.0ms	(* (- a 0.5) b)
33.0ms	(+ (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))) (* (- a 0.5) b))
0.0ms	(fma z (- 1 (log t)) (+ x y))

series418.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(- 1 (log t))
30.0ms	(* (- a 0.5) b)
200.0ms	(+ (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))) (* (- a 0.5) b))
56.0ms	(fma z (- 1 (log t)) (+ x y))

simplify72.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	561	973
1	2477	796
2	5001	736

prune341.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`add-log-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`add-exp-log` `associate-+l+` `associate-l` `prod-diff` `add-cbrt-cube`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `associate-*l/` `frac-add` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `associate-r` `log-pow` `fma-udef`
2×	`sub-neg` `diff-log` `associate--l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

26.0ms	(+ (- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z)) (* (- a 0.5) b))
6.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
0.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
13.0ms	(* (log (sqrt t)) z)

series818.0ms

Counts

4 → 12

Calls

4 calls:

455.0ms	(+ (- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z)) (* (- a 0.5) b))
141.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
101.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
120.0ms	(* (log (sqrt t)) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	502	1090
1	1936	1017
2	5001	1003

prune369.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes308.0ms

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	28	14
1	28	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

408.0ms	9215×	body	80	valid
340.0ms	9262×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid