Details

sample79.0ms

Algorithm

intervals

Results

26.0ms	823×	body	80	nan
10.0ms	260×	body	80	valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	48	6
2	118	6
3	247	6
4	525	6
5	732	6
6	937	6
7	1108	6
8	1128	6
9	1128	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (- (* x (log y)) y) z)
0.3b	(* x (log y))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate--l+`
22×	`*-un-lft-identity`
21×	`log-prod`
16×	`add-sqr-sqrt`
14×	`add-log-exp`
12×	`add-cube-cbrt`
10×	`associate-+l+`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
6×	`diff-log`
5×	`add-exp-log` `add-cbrt-cube`
4×	`sub-neg` `associate-r` `distribute-lft-out`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

153.0ms	(+ (- (- (* x (log y)) y) z) (log t))
49.0ms	(- (- (* x (log y)) y) z)
9.0ms	(* x (log y))

series109.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (- (- (* x (log y)) y) z) (log t))
29.0ms	(- (- (* x (log y)) y) z)
37.0ms	(* x (log y))

simplify135.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	332	521
1	1115	483
2	4121	455
3	5002	455

prune224.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.2b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite43.0ms

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)

series539.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* x (log (cbrt y)))
95.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
177.0ms	(cbrt y)
180.0ms	(cbrt y)

simplify53.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

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

prune457.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

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)))

rewrite9.0ms

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

series809.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
179.0ms	(cbrt y)
185.0ms	(cbrt y)
270.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 4 (77.0ms)

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

prune292.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (+ (* 2/3 (log y)) (log (cbrt (sqrt y)))))
0.3b	(* 2/3 (log y))
0.5b	(cbrt (sqrt y))
0.5b	(cbrt (sqrt y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod`
9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`log-prod` `associate-l` `sqrt-prod`
4×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
2×	`pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `log-pow` `flip-+`

Counts

4 → 75

Calls

4 calls:

30.0ms	(* x (+ (* 2/3 (log y)) (log (cbrt (sqrt y)))))
9.0ms	(* 2/3 (log y))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series591.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* x (+ (* 2/3 (log y)) (log (cbrt (sqrt y)))))
141.0ms	(* 2/3 (log y))
148.0ms	(cbrt (sqrt y))
149.0ms	(cbrt (sqrt y))

simplify51.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	347	524
1	1386	463
2	5001	441

prune334.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes207.0ms

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	12	6
1	12	6

end0.0ms

sample2.3s

Algorithm

intervals

Results

759.0ms	24362×	body	80	nan
312.0ms	8029×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid