Details

sample121.0ms

Algorithm

intervals

Results

47.0ms	807×	body	80	nan
18.0ms	284×	body	80	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize19.0ms

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)
0.1b	(* (- b 0.5) (log c))
0.3b	(* 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:

279.0ms	(+ (+ (+ (+ (* 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))

series380.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
42.0ms	(+ (+ (* x (log y)) z) t)
58.0ms	(* (- b 0.5) (log c))
38.0ms	(* x (log y))

simplify66.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (57.0ms)

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

prune418.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 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)

rewrite28.0ms

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))
18.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series593.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* x (log y))
185.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
182.0ms	(cbrt c)
187.0ms	(cbrt c)

simplify66.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (57.0ms)

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

prune635.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (* (cbrt 1) (pow c 1/3)))))
0.6b	(cbrt c)
5.0b	(pow c 1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

32×	`log-prod`
28×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-+l+`
21×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
8×	`pow1` `associate-*l/`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`unpow-prod-down` `pow-unpow` `associate-l`
2×	`associate-+r+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 96

Calls

4 calls:

4.0ms	(* x (log y))
18.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (* (cbrt 1) (pow c 1/3)))))
1.0ms	(cbrt c)
1.0ms	(pow c 1/3)

series646.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* x (log y))
236.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (* (cbrt 1) (pow c 1/3)))))
188.0ms	(cbrt c)
177.0ms	(pow c 1/3)

simplify77.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	602	874
1	2420	766
2	5002	734

prune689.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)
3.0ms	(cbrt (* (cbrt c) (cbrt c)))

series823.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt c)
180.0ms	(cbrt c)
192.0ms	(cbrt c)
274.0ms	(cbrt (* (cbrt c) (cbrt c)))

simplify83.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 4 (80.0ms)

Iter	Nodes	Cost
0	78	180
1	168	162
2	559	152
3	2334	152
4	5003	149

prune395.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes554.0ms

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	45	20
1	45	20

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	27585×	body	80	nan
590.0ms	9170×	body	80	valid
1.0ms	2×	body	640	valid