Details

sample54.0ms

Algorithm

intervals

Results

15.0ms	345×	body	80	nan
13.0ms	284×	body	80	valid
0.0ms	1×	body	640	valid

simplify53.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

262.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
82.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series233.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
30.0ms	(* (- a 0.5) b)
37.0ms	(- (+ (+ x y) z) (* z (log t)))
37.0ms	(* z (log t))

simplify80.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5001	712

prune302.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

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

series734.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt t) (cbrt t))
186.0ms	(cbrt t)
175.0ms	(cbrt t)
178.0ms	(cbrt t)

simplify91.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune354.0ms

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

10.0ms	(* (- a 0.5) b)
36.0ms	(+ (+ x y) (+ (- z (* z (log t))) (* (- a 0.5) b)))
3.0ms	(- z (* z (log t)))
4.0ms	(* z (log t))

series239.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- a 0.5) b)
126.0ms	(+ (+ x y) (+ (- z (* z (log t))) (* (- a 0.5) b)))
49.0ms	(- z (* z (log t)))
36.0ms	(* z (log t))

simplify116.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	819	1183
1	4246	1134
2	5001	1132

prune375.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

10.0ms	(* (- a 0.5) b)
27.0ms	(+ (+ x y) (+ (* (- 1 (log t)) z) (* (- a 0.5) b)))
16.0ms	(* (- 1 (log t)) z)

series256.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (- a 0.5) b)
153.0ms	(+ (+ x y) (+ (* (- 1 (log t)) z) (* (- a 0.5) b)))
68.0ms	(* (- 1 (log t)) z)

simplify121.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	768	997
1	4209	964
2	5001	964

prune300.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes347.0ms

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	23	8
1	23	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

432.0ms	9177×	body	80	valid
337.0ms	9093×	body	80	nan
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid