Details

sample87.0ms

Algorithm

intervals

Results

18.0ms	292×	body	80	valid
17.0ms	334×	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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))

rewrite231.0ms

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))))
220.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series163.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
33.0ms	(- (+ (+ x y) z) (* z (log t)))
33.0ms	(* 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

prune221.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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:

10.0ms	(* z (log (cbrt t)))
26.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
3.0ms	(cbrt t)
1.0ms	(cbrt t)

series489.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* z (log (cbrt t)))
86.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
160.0ms	(cbrt t)
161.0ms	(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

prune581.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

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:

9.0ms	(- 1 (log t))
0.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
0.0ms	(fma z (- 1 (log t)) (+ x y))

series291.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(- 1 (log t))
119.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
49.0ms	(fma z (- 1 (log t)) (+ x y))

simplify126.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (25.0ms)

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

prune178.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b (- a 0.5) (- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t)))))
0.1b	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
0.1b	(fma z (- 1 (log (sqrt t))) (+ x y))
0.3b	(* z (log (sqrt t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

0.0ms	(fma b (- a 0.5) (- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t)))))
11.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
0.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
11.0ms	(* z (log (sqrt t)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(fma b (- a 0.5) (- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t)))))
126.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
89.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
82.0ms	(* z (log (sqrt t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	376	896
1	1296	819
2	5002	792

prune348.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes228.0ms

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	25	13
1	25	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

399.0ms	9215×	body	80	valid
324.0ms	9262×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid