Details

sample174.0ms

Algorithm

intervals

Results

82.0ms	894×	body	80	nan
32.0ms	289×	body	80	valid

simplify68.0ms

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) 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))

rewrite309.0ms

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:

276.0ms	(+ (+ (+ (+ (* 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))

series374.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
43.0ms	(+ (+ (* x (log y)) z) t)
58.0ms	(* (- b 0.5) (log c))
37.0ms	(* x (log y))

simplify75.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (67.0ms)

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

prune405.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)

series553.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (log (cbrt y)))
101.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
177.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify51.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (43.0ms)

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

prune594.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (* (cbrt y) (cbrt y)))

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:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
3.0ms	(cbrt (* (cbrt y) (cbrt y)))

series812.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
179.0ms	(cbrt y)
183.0ms	(cbrt y)
269.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 4 (82.0ms)

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

prune396.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
0.3b	(* (* x 1/3) (log y))
0.4b	(* x 1/3)
0.6b	(cbrt y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

13.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
7.0ms	(* (* x 1/3) (log y))
3.0ms	(* x 1/3)
1.0ms	(cbrt y)

series394.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
43.0ms	(* (* x 1/3) (log y))
19.0ms	(* x 1/3)
180.0ms	(cbrt y)

simplify68.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	421	677
1	1947	555
2	5001	453

prune519.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

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	45	25
1	45	25

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.6s	27665×	body	80	nan
1.0s	9189×	body	80	valid
1.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid