Details

sample44.0ms

Algorithm

intervals

Results

13.0ms	302×	body	80	valid
9.0ms	334×	body	80	nan

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

30.0ms	(+ (- 1.0 z) (log z))
21.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
79.0ms	(* y (+ (- 1.0 z) (log z)))

series289.0ms

Counts

3 → 9

Calls

3 calls:

160.0ms	(+ (- 1.0 z) (log z))
54.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
74.0ms	(* y (+ (- 1.0 z) (log z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5002	370

prune147.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt z))
0.0b	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
0.0b	(+ (- 1.0 z) (log (sqrt z)))
0.1b	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

rewrite480.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
22×	`distribute-lft-out`
19×	`pow1`
14×	`log-pow`
13×	`associate-r`
12×	`add-sqr-sqrt` `log-prod`
10×	`add-cube-cbrt`
9×	`add-log-exp`
8×	`associate-+r+`
7×	`add-exp-log`
6×	`sqrt-prod` `add-cbrt-cube` `distribute-lft-out--`
3×	`flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

2.0ms	(log (sqrt z))
91.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
32.0ms	(+ (- 1.0 z) (log (sqrt z)))
352.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(log (sqrt z))
87.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
54.0ms	(+ (- 1.0 z) (log (sqrt z)))
100.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	469	752
1	1852	686
2	5001	669

prune255.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (+ (- (+ (* 2 (log (cbrt (sqrt z)))) 1.0) z) (log (cbrt (sqrt z)))) (log (sqrt z))))
0.2b	(+ (- (+ (* 2 (log (cbrt (sqrt z)))) 1.0) z) (log (cbrt (sqrt z))))
0.6b	(cbrt (sqrt z))
0.6b	(cbrt (sqrt z))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
22×	`distribute-lft-out`
18×	`cbrt-prod`
17×	`pow1`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `associate-r`
11×	`log-pow`
10×	`add-log-exp`
9×	`associate-+r+` `log-prod` `sqrt-prod`
6×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
4×	`sum-log`
3×	`associate-+l+` `associate-l`
2×	`flip3-+` `pow1/3` `diff-log` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

1.8s	(* y (+ (+ (- (+ (* 2 (log (cbrt (sqrt z)))) 1.0) z) (log (cbrt (sqrt z)))) (log (sqrt z))))
174.0ms	(+ (- (+ (* 2 (log (cbrt (sqrt z)))) 1.0) z) (log (cbrt (sqrt z))))
2.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))

series718.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* y (+ (+ (- (+ (* 2 (log (cbrt (sqrt z)))) 1.0) z) (log (cbrt (sqrt z)))) (log (sqrt z))))
253.0ms	(+ (- (+ (* 2 (log (cbrt (sqrt z)))) 1.0) z) (log (cbrt (sqrt z))))
145.0ms	(cbrt (sqrt z))
141.0ms	(cbrt (sqrt z))

simplify58.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	483	1000
1	1920	910
2	5002	888

prune355.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 z) (log (sqrt z)))
0.1b	(+ (+ (* x 0.5) (* (+ (- 1.0 z) (log (sqrt z))) y)) (* (log (sqrt z)) y))
0.2b	(* (+ (- 1.0 z) (log (sqrt z))) y)
0.3b	(* (log (sqrt z)) y)

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
14×	`pow1` `add-sqr-sqrt`
13×	`associate-l`
12×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
7×	`log-pow`
6×	`associate-+r+` `log-prod` `associate-r`
5×	`sum-log`
4×	`distribute-lft-out--`
3×	`associate-+l+` `flip3-+` `sqrt-prod` `flip-+`
2×	`+-commutative` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`associate-+l-` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 83

Calls

4 calls:

30.0ms	(+ (- 1.0 z) (log (sqrt z)))
43.0ms	(+ (+ (* x 0.5) (* (+ (- 1.0 z) (log (sqrt z))) y)) (* (log (sqrt z)) y))
93.0ms	(* (+ (- 1.0 z) (log (sqrt z))) y)
10.0ms	(* (log (sqrt z)) y)

series387.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (- 1.0 z) (log (sqrt z)))
100.0ms	(+ (+ (* x 0.5) (* (+ (- 1.0 z) (log (sqrt z))) y)) (* (log (sqrt z)) y))
122.0ms	(* (+ (- 1.0 z) (log (sqrt z))) y)
113.0ms	(* (log (sqrt z)) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	456	750
1	1751	670
2	5001	662

prune238.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes95.0ms

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	25	16
1	25	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

322.0ms	9145×	body	80	valid
237.0ms	9091×	body	80	nan