Details

sample52.0ms

Algorithm

intervals

Results

14.0ms	293×	body	80	valid
12.0ms	317×	body	80	nan
0.0ms	1×	body	160	valid

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

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

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

series73.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- (+ (+ x y) z) (* z (log t)))
39.0ms	(* z (log t))

simplify45.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	268	391
1	1227	340
2	5002	323

prune205.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

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

series169.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(- 1 (log t))
47.0ms	(fma z (- 1 (log t)) (+ x y))

simplify110.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	209	361
1	731	229
2	3621	181
3	5001	180

prune159.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite10.0ms

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:

6.0ms	(* (cbrt t) (cbrt t))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series735.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt t) (cbrt t))
179.0ms	(cbrt t)
174.0ms	(cbrt t)
177.0ms	(cbrt t)

simplify89.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

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

prune397.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt t))
0.1b	(fma z (- 1 (log (sqrt t))) (+ x y))
0.1b	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
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))
0.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
2.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
4.0ms	(* (log (sqrt t)) z)

series421.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(log (sqrt t))
100.0ms	(fma z (- 1 (log (sqrt t))) (+ x y))
136.0ms	(- (fma z (- 1 (log (sqrt t))) (+ x y)) (* (log (sqrt t)) z))
119.0ms	(* (log (sqrt t)) z)

simplify123.0ms

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

prune342.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes299.0ms

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	24	11
1	24	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

455.0ms	9136×	body	80	valid
374.0ms	9349×	body	80	nan
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid