Details

sample71.0ms

Algorithm

intervals

Results

25.0ms	298×	body	80	valid
20.0ms	292×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite103.0ms

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))))
97.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series365.0ms

Counts

3 → 9

Calls

3 calls:

292.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
33.0ms	(- (+ (+ x y) z) (* z (log t)))
40.0ms	(* z (log t))

simplify46.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (40.0ms)

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

prune244.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

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))

rewrite6.0ms

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))

series305.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
120.0ms	(- 1 (log t))
51.0ms	(fma z (- 1 (log t)) (+ x y))

simplify123.0ms

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

prune185.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series727.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt t) (cbrt t))
176.0ms	(cbrt t)
178.0ms	(cbrt t)
175.0ms	(cbrt t)

simplify86.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune386.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
30×	`log-prod`
28×	`add-cube-cbrt`
21×	`prod-diff`
18×	`associate--r+`
15×	`pow1` `sqrt-prod`
13×	`log-pow`
12×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-log-exp`
6×	`add-exp-log` `fma-neg` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `log1p-expm1-u`
3×	`associate-l`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

6.0ms	(- 1 (log (sqrt t)))
0.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
4.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
5.0ms	(* z (log (sqrt t)))

series425.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- 1 (log (sqrt t)))
128.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
131.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* z (log (sqrt t))))
84.0ms	(* z (log (sqrt t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	519	1196
1	1911	958
2	5003	944

prune437.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes293.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample2.1s

Algorithm

intervals

Results

782.0ms	9186×	body	80	valid
648.0ms	9306×	body	80	nan
1.0ms	3×	body	640	valid