Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	291×	body	80	valid
12.0ms	301×	body	80	nan

simplify60.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

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)))
0.3b	(* z (log t))

rewrite37.0ms

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:

13.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
6.0ms	(* (- a 0.5) b)
9.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series236.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
28.0ms	(* (- a 0.5) b)
40.0ms	(- (+ (+ x y) z) (* z (log t)))
37.0ms	(* z (log t))

simplify76.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (67.0ms)

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

prune396.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 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)
0.1b	(fma z (- 1 (log t)) (+ x y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

7.0ms	(+ (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))) (* (- a 0.5) b))
6.0ms	(* (- a 0.5) b)
1.0ms	(fma z (- 1 (log t)) (+ x y))

series256.0ms

Counts

3 → 9

Calls

3 calls:

178.0ms	(+ (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))) (* (- a 0.5) b))
27.0ms	(* (- a 0.5) b)
50.0ms	(fma z (- 1 (log t)) (+ x y))

simplify59.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	434	694
1	1937	637
2	5002	625

prune278.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series740.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt t) (cbrt t))
182.0ms	(cbrt t)
185.0ms	(cbrt t)
180.0ms	(cbrt t)

simplify93.0ms

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

prune395.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.0b	(pow t 1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
2.0ms	(pow t 1/3)

series738.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt t) (cbrt t))
176.0ms	(cbrt t)
177.0ms	(cbrt t)
184.0ms	(pow t 1/3)

simplify145.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	179	308
1	790	229
2	4954	214
3	5001	214

prune436.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes396.0ms

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	28	14
1	28	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

433.0ms	9131×	body	80	valid
374.0ms	9419×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid