Details

sample47.0ms

Algorithm

intervals

Results

14.0ms	293×	body	80	valid
9.0ms	226×	body	80	nan

simplify59.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))

rewrite36.0ms

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:

12.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
6.0ms	(* (- a 0.5) b)
10.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series232.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
28.0ms	(* (- a 0.5) b)
38.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify82.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (73.0ms)

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

prune393.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

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

rewrite21.0ms

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:

7.0ms	(+ (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))) (* (- a 0.5) b))
5.0ms	(- 1 (log t))
6.0ms	(* (- a 0.5) b)
1.0ms	(fma z (- 1 (log t)) (+ x y))

series442.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(+ (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))) (* (- a 0.5) b))
170.0ms	(- 1 (log t))
44.0ms	(* (- a 0.5) b)
51.0ms	(fma z (- 1 (log t)) (+ x y))

simplify75.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (65.0ms)

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

prune362.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

6.0ms	(+ (+ x y) (fma b (- a 0.5) (- z (* z (log t)))))
1.0ms	(fma b (- a 0.5) (- z (* z (log t))))
4.0ms	(* z (log t))
4.0ms	(- z (* z (log t)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (+ x y) (fma b (- a 0.5) (- z (* z (log t)))))
51.0ms	(fma b (- a 0.5) (- z (* z (log t))))
35.0ms	(* z (log t))
46.0ms	(- z (* z (log t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	357	564
1	1325	506
2	5001	494

prune305.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)

rewrite21.0ms

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:

1.0ms	(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (+ x y))
13.0ms	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
1.0ms	(fma (log t) (+ 1 (log t)) 1)
3.0ms	(pow (log t) 3)

series1.5s

Counts

4 → 12

Calls

4 calls:

475.0ms	(fma z (/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1)) (+ x y))
535.0ms	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ 1 (log t)) 1))
267.0ms	(fma (log t) (+ 1 (log t)) 1)
234.0ms	(pow (log t) 3)

simplify80.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (65.0ms)

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

prune448.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes247.0ms

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	17	7
1	17	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

439.0ms	9142×	body	80	valid
373.0ms	9022×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid