Details

sample78.0ms

Algorithm

intervals

Results

28.0ms	292×	body	80	valid
22.0ms	306×	body	80	nan

simplify68.0ms

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

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))

rewrite368.0ms

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:

267.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
83.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series292.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
34.0ms	(* (- a 0.5) b)
49.0ms	(- (+ (+ x y) z) (* z (log t)))
46.0ms	(* z (log t))

simplify96.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (80.0ms)

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

prune354.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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)

rewrite14.0ms

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:

10.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series774.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt t) (cbrt t))
192.0ms	(cbrt t)
186.0ms	(cbrt t)
189.0ms	(cbrt t)

simplify95.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (90.0ms)

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

prune392.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.1b	(pow t 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
0.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(pow t 1/3)

series856.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt t) (cbrt t))
205.0ms	(cbrt t)
215.0ms	(cbrt t)
203.0ms	(pow t 1/3)

simplify164.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	173	288
1	778	209
2	4921	194
3	5002	194

prune439.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (exp (* 2/3 (log t)))) z)
0.4b	(* 2/3 (log t))
5.1b	(pow t 1/3)
5.2b	(exp (* 2/3 (log t)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`log-prod`
11×	`pow1`
9×	`add-exp-log` `associate-l`
8×	`add-cbrt-cube`
7×	`associate-r` `add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
4×	`log-pow`
3×	`unpow-prod-down` `pow-unpow`
2×	`exp-prod` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `rem-exp-log` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* (log (exp (* 2/3 (log t)))) z)
4.0ms	(* 2/3 (log t))
1.0ms	(pow t 1/3)
2.0ms	(exp (* 2/3 (log t)))

series697.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (log (exp (* 2/3 (log t)))) z)
156.0ms	(* 2/3 (log t))
207.0ms	(pow t 1/3)
195.0ms	(exp (* 2/3 (log t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	275	363
1	1158	291
2	5001	265

prune414.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes468.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	15
1	31	15

end0.0ms

sample2.1s

Algorithm

intervals

Results

811.0ms	9196×	body	80	valid
661.0ms	9279×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid