Details

sample138.0ms

Algorithm

intervals

Results

56.0ms	1034×	body	80	nan
18.0ms	300×	body	80	valid

simplify81.0ms

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

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b	(+ (+ (* x (log y)) z) t)
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

1.1s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
14.0ms	(+ (+ (* x (log y)) z) t)
11.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series676.0ms

Counts

4 → 12

Calls

4 calls:

532.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
47.0ms	(+ (+ (* x (log y)) z) t)
56.0ms	(* (- b 0.5) (log c))
41.0ms	(* x (log y))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	501	698
1	1904	622
2	5003	603

prune357.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite26.0ms

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)

series565.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* x (log y))
168.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
180.0ms	(cbrt c)
181.0ms	(cbrt c)

simplify61.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (53.0ms)

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

prune641.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

10.0ms	(* x (* 2 (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series560.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* x (* 2 (log (cbrt y))))
95.0ms	(* x (log (cbrt y)))
185.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify41.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	291	642
1	1173	565
2	5001	541

prune490.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
4.0b	(exp (log (pow y 1/3)))
4.9b	(pow y 1/3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
0.0ms	(cbrt y)
2.0ms	(exp (log (pow y 1/3)))
1.0ms	(pow y 1/3)

series633.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* x (log (cbrt y)))
187.0ms	(cbrt y)
174.0ms	(exp (log (pow y 1/3)))
178.0ms	(pow y 1/3)

simplify108.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	234	354
1	829	299
2	3380	259
3	5001	237

prune393.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes716.0ms

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	19
1	41	19

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27889×	body	80	nan
580.0ms	9250×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid