Details

sample128.0ms

Algorithm

intervals

Results

48.0ms	918×	body	80	nan
20.0ms	286×	body	80	valid
0.0ms	1×	body	640	valid

simplify72.0ms

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

localize18.0ms

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

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

271.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
4.0ms	(+ (* x (log y)) z)
13.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series585.0ms

Counts

4 → 12

Calls

4 calls:

433.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
55.0ms	(+ (* x (log y)) z)
58.0ms	(* (- b 0.5) (log c))
38.0ms	(* x (log y))

simplify64.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	619	860
1	2417	804
2	5001	793

prune420.0ms

Pruning

6 alts after pruning (6 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)

rewrite29.0ms

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))
19.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series555.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x (log y))
167.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
173.0ms	(cbrt c)
173.0ms	(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

prune609.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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)
4.2b	(exp (log (pow c 1/3)))
5.1b	(pow c 1/3)

rewrite34.0ms

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:

24.0ms	(+ (* (- 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)

series751.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (exp (log (pow c 1/3))))))
179.0ms	(cbrt c)
171.0ms	(exp (log (pow c 1/3)))
177.0ms	(pow c 1/3)

simplify76.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	634	926
1	2383	771
2	5001	707

prune713.0ms

Pruning

5 alts after pruning (4 fresh and 1 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)

rewrite23.0ms

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:

5.0ms	(* x (log (cbrt y)))
13.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series565.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* x (log (cbrt y)))
104.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
187.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify55.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (47.0ms)

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

prune587.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes557.0ms

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	27556×	body	80	nan
568.0ms	9195×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid