Details

sample152.0ms

Algorithm

intervals

Results

49.0ms	960×	body	80	nan
19.0ms	295×	body	80	valid

simplify70.0ms

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

localize19.0ms

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) a) (* (- b 0.5) (log c)))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite3.0s

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
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--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

2.3s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
592.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
25.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series814.0ms

Counts

4 → 12

Calls

4 calls:

505.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
219.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
55.0ms	(* (- b 0.5) (log c))
35.0ms	(* x (log y))

simplify68.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	647	1027
1	2625	970
2	5001	954

prune436.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

10.0ms	(* x (log (cbrt y)))
26.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series531.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
91.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
172.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune637.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
40×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod` `unpow-prod-down`
12×	`associate-+r+`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-r` `sqr-pow`
3×	`pow-unpow` `associate-l`
2×	`pow1/3` `log-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

10.0ms	(* x (log (cbrt y)))
32.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series554.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* x (log (cbrt y)))
128.0ms	(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
175.0ms	(cbrt y)
171.0ms	(pow y 1/3)

simplify67.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	476	777
1	1845	675
2	5001	525

prune687.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

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:

41.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
9.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series550.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
41.0ms	(* x (log y))
173.0ms	(cbrt c)
174.0ms	(cbrt c)

simplify63.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	549	851
1	2155	729
2	5003	698

prune618.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes574.0ms

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	36	17
1	36	17

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.4s	27776×	body	80	nan
544.0ms	9252×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid