Details

sample59.0ms

Algorithm

intervals

Results

15.0ms	301×	body	80	valid
10.0ms	297×	body	80	nan

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

prune3.0ms

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	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`log-prod` `add-log-exp`
11×	`add-cube-cbrt`
8×	`pow1` `associate-l`
7×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
3×	`diff-log` `sum-log`
2×	`flip3--` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `associate--l+` `log-pow` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 68

Calls

3 calls:

20.0ms	(* (- a 0.5) b)
152.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series108.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- a 0.5) b)
40.0ms	(- (+ (+ x y) z) (* z (log t)))
40.0ms	(* z (log t))

simplify52.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	342	380
1	1497	335
2	5002	330

prune249.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (+ x y) (- z (* z (log t))))
0.3b	(- z (* z (log t)))
0.3b	(* z (log t))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-log-exp`
12×	`add-cube-cbrt` `log-prod`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `sum-log` `associate--r+`
4×	`flip3--` `frac-add` `flip--`
3×	`flip3-+` `diff-log` `flip-+` `distribute-lft-out`
2×	`sub-neg` `associate-+r+` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `associate-+l+` `log-pow` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 89

Calls

4 calls:

22.0ms	(* (- a 0.5) b)
33.0ms	(+ (+ x y) (- z (* z (log t))))
6.0ms	(- z (* z (log t)))
13.0ms	(* z (log t))

series153.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- a 0.5) b)
36.0ms	(+ (+ x y) (- z (* z (log t))))
50.0ms	(- z (* z (log t)))
39.0ms	(* z (log t))

simplify71.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	518	585
1	2153	538
2	5001	529

prune319.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
12×	`associate-l`
10×	`pow1` `add-log-exp`
9×	`add-cube-cbrt`
8×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
6×	`associate-r`
5×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
4×	`frac-add`
3×	`log-prod` `flip3-+` `sum-log` `flip-+` `associate--r+`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sub-neg` `associate-+l+` `diff-log`

Counts

4 → 82

Calls

4 calls:

30.0ms	(+ (+ x y) (* (- 1 (log t)) z))
23.0ms	(* (- a 0.5) b)
7.0ms	(- 1 (log t))
27.0ms	(* (- 1 (log t)) z)

series279.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (+ x y) (* (- 1 (log t)) z))
29.0ms	(* (- a 0.5) b)
138.0ms	(- 1 (log t))
73.0ms	(* (- 1 (log t)) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	500	527
1	2117	486
2	5001	485

prune324.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) (* (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) z))
0.2b	(* (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) z)
0.4b	(/ (- 1 (* (log t) (log t))) (+ 1 (log t)))
0.5b	(* (log t) (log t))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
51×	`times-frac`
35×	`associate-l`
34×	`add-cube-cbrt`
30×	`pow1`
22×	`distribute-lft-out` `difference-of-squares`
17×	`log-pow`
13×	`add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
7×	`associate-r`
6×	`log-prod` `swap-sqr`
5×	`associate-/r` `associate-/l`
4×	`flip3-+` `associate-/r/` `flip-+`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `pow2` `associate-+l+` `flip3--` `frac-2neg` `pow-plus` `div-sub` `clear-num` `pow-sqr` `pow-prod-up` `flip--`

Counts

4 → 153

Calls

4 calls:

29.0ms	(+ (+ x y) (* (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) z))
47.0ms	(* (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) z)
22.0ms	(/ (- 1 (* (log t) (log t))) (+ 1 (log t)))
10.0ms	(* (log t) (log t))

series904.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(+ (+ x y) (* (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) z))
239.0ms	(* (/ (- 1 (* (log t) (log t))) (+ 1 (log t))) z)
352.0ms	(/ (- 1 (* (log t) (log t))) (+ 1 (log t)))
163.0ms	(* (log t) (log t))

simplify107.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	722	1575
1	3337	1412
2	5002	1400

prune763.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes345.0ms

Accuracy

0% (0.0b 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	23	8
1	23	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

384.0ms	9131×	body	80	valid
324.0ms	9010×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid