Details

sample212.0ms

Algorithm

intervals

Results

108.0ms	873×	body	80	nan
45.0ms	289×	body	80	valid

simplify69.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite286.0ms

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:

4.0ms	(+ (* x (log y)) z)
265.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
10.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series378.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* x (log y)) z)
230.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
58.0ms	(* (- b 0.5) (log c))
38.0ms	(* x (log y))

simplify62.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (53.0ms)

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

prune414.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (log (sqrt c)) (- b 0.5)))
0.2b	(* (log (sqrt c)) (- b 0.5))
0.2b	(* (log (sqrt c)) (- b 0.5))
0.3b	(* x (log y))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

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

series474.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (log (sqrt c)) (- b 0.5)))
66.0ms	(* (log (sqrt c)) (- b 0.5))
68.0ms	(* (log (sqrt c)) (- b 0.5))
38.0ms	(* x (log y))

simplify111.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	875	1799
1	4185	1680
2	5001	1674

prune532.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series729.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt y) (cbrt y))
182.0ms	(cbrt y)
175.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune432.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(* x (log (pow y 2/3)))
0.7b	(cbrt y)
5.9b	(pow y 2/3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`log-prod`
10×	`pow1`
9×	`add-exp-log` `unpow-prod-down`
8×	`associate-l` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`add-log-exp`
3×	`cbrt-prod` `pow-unpow` `log-pow` `sqr-pow`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 81

Calls

4 calls:

4.0ms	(* (log (cbrt y)) x)
5.0ms	(* x (log (pow y 2/3)))
0.0ms	(cbrt y)
1.0ms	(pow y 2/3)

series538.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (log (cbrt y)) x)
79.0ms	(* x (log (pow y 2/3)))
173.0ms	(cbrt y)
170.0ms	(pow y 2/3)

simplify41.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	274	413
1	1159	357
2	5001	322

prune399.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes583.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	16
1	36	16

end0.0ms

sample6.6s

Algorithm

intervals

Results

3.5s	28234×	body	80	nan
1.4s	9237×	body	80	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid