Details

sample50.0ms

Algorithm

intervals

Results

13.0ms	289×	body	80	valid
10.0ms	271×	body	80	nan

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize15.0ms

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))

rewrite363.0ms

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:

264.0ms	(+ (- (+ (+ 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))

series226.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
32.0ms	(* (- a 0.5) b)
33.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify69.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (61.0ms)

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

prune485.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite439.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
24×	`log-prod`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`diff-log`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log` `log-pow`
5×	`associate--l+`
3×	`sub-neg`
2×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 100

Calls

4 calls:

79.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
347.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
4.0ms	(* (log (sqrt t)) z)
5.0ms	(* z (log (sqrt t)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
53.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
115.0ms	(* (log (sqrt t)) z)
81.0ms	(* z (log (sqrt t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	425	907
1	1945	795
2	5002	766

prune354.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

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:

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

series710.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt t) (cbrt t))
165.0ms	(cbrt t)
168.0ms	(cbrt t)
183.0ms	(cbrt t)

simplify110.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (103.0ms)

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

prune417.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (pow t 1/3))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.0b	(pow t 1/3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-r`
6×	`associate-l` `unswap-sqr`
5×	`pow1` `pow1/3` `add-cbrt-cube`
4×	`add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `unpow1/3` `pow-exp` `cbrt-unprod`
1×	`pow-pow` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 75

Calls

4 calls:

7.0ms	(* (cbrt t) (pow t 1/3))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(pow t 1/3)

series718.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt t) (pow t 1/3))
176.0ms	(cbrt t)
172.0ms	(cbrt t)
170.0ms	(pow t 1/3)

simplify109.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	181	292
1	676	219
2	3869	204
3	5002	197

prune363.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes434.0ms

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	22	13
1	22	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

445.0ms	9175×	body	80	valid
367.0ms	9304×	body	80	nan
1.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid