Details

sample72.0ms

Algorithm

intervals

Results

24.0ms	299×	body	80	valid
21.0ms	305×	body	80	nan

simplify58.0ms

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

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

0.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
98.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series191.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
39.0ms	(- (+ (+ x y) z) (* z (log t)))
38.0ms	(* z (log t))

simplify46.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	316	506
1	1388	439
2	5001	421

prune259.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
7×	`pow1`
4×	`log-pow` `add-log-exp`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `fma-neg` `add-cbrt-cube` `log1p-expm1-u` `associate--r+`
2×	`fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 56

Calls

3 calls:

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

series322.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
128.0ms	(- 1 (log t))
54.0ms	(fma z (- 1 (log t)) (+ x y))

simplify126.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	250	456
1	817	311
2	4188	263
3	5001	263

prune207.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (- 1 (log t))) (+ x y))
0.0b	(fma b (- a 0.5) (+ (* z (- 1 (log t))) (+ x y)))
0.0b	(- 1 (log t))
0.2b	(* z (- 1 (log t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

15.0ms	(+ (* z (- 1 (log t))) (+ x y))
0.0ms	(fma b (- a 0.5) (+ (* z (- 1 (log t))) (+ x y)))
4.0ms	(- 1 (log t))
15.0ms	(* z (- 1 (log t)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* z (- 1 (log t))) (+ x y))
160.0ms	(fma b (- a 0.5) (+ (* z (- 1 (log t))) (+ x y)))
122.0ms	(- 1 (log t))
52.0ms	(* z (- 1 (log t)))

simplify74.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	581	1418
1	2475	939
2	5003	792

prune451.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+r+` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 35

Calls

3 calls:

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

series257.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(fma b (- a 0.5) (+ (* z 1) (fma (- (log t)) z (+ x y))))
55.0ms	(fma (- (log t)) z (+ x y))
57.0ms	(+ (* z 1) (fma (- (log t)) z (+ x y)))

simplify30.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	216	341
1	826	300
2	5001	298

prune172.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes309.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	23	8
2	23	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

746.0ms	9200×	body	80	valid
639.0ms	9216×	body	80	nan
1.0ms	1×	body	2560	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid