Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	293×	body	80	valid
8.0ms	226×	body	80	nan

simplify50.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite433.0ms

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:

314.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
100.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series238.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
32.0ms	(* (- a 0.5) b)
35.0ms	(- (+ (+ x y) z) (* z (log t)))
41.0ms	(* z (log t))

simplify80.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (70.0ms)

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

prune394.0ms

Filtered

128 candidates to 93 candidates (72.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

3.0ms	(+ (fma z (- 1 (log t)) (+ x y)) (* (- a 0.5) b))
4.0ms	(- 1 (log t))
10.0ms	(* (- a 0.5) b)
0.0ms	(fma z (- 1 (log t)) (+ x y))

series383.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(+ (fma z (- 1 (log t)) (+ x y)) (* (- a 0.5) b))
118.0ms	(- 1 (log t))
31.0ms	(* (- a 0.5) b)
47.0ms	(fma z (- 1 (log t)) (+ x y))

simplify41.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	383	613
1	1479	463
2	5002	413

prune281.0ms

Filtered

99 candidates to 69 candidates (69.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

24.0ms	(+ (+ x y) (- z (* z (log t))))
10.0ms	(* (- a 0.5) b)
4.0ms	(* z (log t))
3.0ms	(- z (* z (log t)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (+ x y) (- z (* z (log t))))
29.0ms	(* (- a 0.5) b)
42.0ms	(* z (log t))
46.0ms	(- z (* z (log t)))

simplify74.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	568	673
1	2367	611
2	5003	588

prune361.0ms

Filtered

122 candidates to 89 candidates (73.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (+ x y))
0.3b	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
0.5b	(fma (log t) (+ 1 (log t)) 1)
0.7b	(pow (log t) 3)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
36×	`times-frac`
32×	`difference-of-squares`
24×	`add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod` `associate-/l*`
9×	`sqr-pow`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `associate-/r*`
2×	`log-pow` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `flip--` `div-inv` `rem-cube-cbrt`

Counts

4 → 115

Calls

4 calls:

0.0ms	(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (+ x y))
32.0ms	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
0.0ms	(fma (log t) (+ 1 (log t)) 1)
2.0ms	(pow (log t) 3)

series1.5s

Counts

4 → 12

Calls

4 calls:

472.0ms	(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (+ x y))
565.0ms	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
269.0ms	(fma (log t) (+ 1 (log t)) 1)
177.0ms	(pow (log t) 3)

simplify84.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	562	1580
1	2440	1467
2	5001	1434

prune413.0ms

Filtered

127 candidates to 78 candidates (61.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes243.0ms

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	20	8
1	20	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

422.0ms	9142×	body	80	valid
342.0ms	9022×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid