Details

sample120.0ms

Algorithm

intervals

Results

42.0ms	814×	body	80	nan
21.0ms	299×	body	80	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

278.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
15.0ms	(+ (+ (* x (log y)) z) t)
11.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series387.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
43.0ms	(+ (+ (* x (log y)) z) t)
61.0ms	(* (- b 0.5) (log c))
41.0ms	(* x (log y))

simplify65.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	617	865
1	2560	804
2	5003	793

prune441.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `add-sqr-sqrt` `associate-+l+`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
8×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

4.0ms	(* x (log y))
17.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series575.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x (log y))
171.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
179.0ms	(cbrt c)
182.0ms	(cbrt c)

simplify64.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	549	851
1	2155	729
2	5001	698

prune684.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (exp (log (pow c 1/3))))))
0.6b	(cbrt c)
4.1b	(exp (log (pow c 1/3)))
4.9b	(pow c 1/3)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
34×	`distribute-rgt-in` `distribute-lft-in`
24×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
21×	`exp-sum`
20×	`associate-+r+`
15×	`cbrt-prod`
12×	`unpow-prod-down`
8×	`associate-*l/`
6×	`add-log-exp`
5×	`pow1` `add-exp-log`
4×	`exp-prod` `flip3--` `frac-add` `add-cbrt-cube` `flip--` `sqr-pow`
3×	`pow-unpow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-exp` `sum-log` `log-pow` `flip-+` `rem-exp-log` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

21.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (exp (log (pow c 1/3))))))
0.0ms	(cbrt c)
2.0ms	(exp (log (pow c 1/3)))
1.0ms	(pow c 1/3)

series776.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (exp (log (pow c 1/3))))))
180.0ms	(cbrt c)
183.0ms	(exp (log (pow c 1/3)))
179.0ms	(pow c 1/3)

simplify77.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	634	929
1	2382	777
2	5001	713

prune788.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0ms	(cbrt c)
0.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series713.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt c)
178.0ms	(cbrt c)
176.0ms	(cbrt c)
186.0ms	(cbrt c)

simplify122.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune412.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes827.0ms

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	41	20
1	41	20

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27925×	body	80	nan
562.0ms	9147×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid