Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	299×	body	80	valid
13.0ms	269×	body	80	nan

simplify52.0ms

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

localize13.0ms

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

rewrite105.0ms

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))))
99.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series190.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
34.0ms	(- (+ (+ x y) z) (* z (log t)))
38.0ms	(* z (log t))

simplify44.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (38.0ms)

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

prune254.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

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

series185.0ms

Counts

2 → 6

Calls

2 calls:

132.0ms	(fma b (- a 0.5) (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))))
53.0ms	(fma z (- 1 (log t)) (+ x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	128	237
1	351	201
2	1760	201
3	5001	193

prune110.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt t))
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)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

1.0ms	(log (sqrt t))
2.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
0.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
4.0ms	(* (log (sqrt t)) z)

series436.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(log (sqrt t))
147.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
100.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
120.0ms	(* (log (sqrt t)) z)

simplify126.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	324	620
1	1040	564
2	4979	554
3	5001	554

prune353.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (log (cbrt t)))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite23.0ms

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:

5.0ms	(* z (log (cbrt t)))
13.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series742.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* z (log (cbrt t)))
105.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
174.0ms	(cbrt t)
355.0ms	(cbrt t)

simplify57.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (48.0ms)

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

prune536.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes289.0ms

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	24	11
1	24	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

432.0ms	9219×	body	80	valid
358.0ms	9090×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid