Details

sample36.0ms

Algorithm

intervals

Results

10.0ms	294×	body	80	valid
7.0ms	263×	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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

21.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
7.0ms	(+ (- 1.0 z) (log z))
10.0ms	(* y (+ (- 1.0 z) (log z)))

series313.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
170.0ms	(+ (- 1.0 z) (log z))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	401	588
1	1687	536
2	5002	529

prune142.0ms

Filtered

100 candidates to 58 candidates (42.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	94	6	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	6	101

Merged error: 0b

Counts

101 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (+ (* 2 (log (cbrt z))) 1.0) z) y)
0.3b	(* y (log (cbrt z)))
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

14.0ms	(* (- (+ (* 2 (log (cbrt z))) 1.0) z) y)
5.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series616.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (- (+ (* 2 (log (cbrt z))) 1.0) z) y)
97.0ms	(* y (log (cbrt z)))
184.0ms	(cbrt z)
188.0ms	(cbrt z)

simplify40.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	262	513
1	1131	454
2	5001	434

prune254.0ms

Filtered

90 candidates to 71 candidates (21.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	90	6	96

Merged error: 0b

Counts

96 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (* (cbrt z) (cbrt z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt z)
6.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt (cbrt z))
7.0ms	(cbrt (* (cbrt z) (cbrt z)))

series931.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt z)
213.0ms	(* (cbrt z) (cbrt z))
251.0ms	(cbrt (cbrt z))
285.0ms	(cbrt (* (cbrt z) (cbrt z)))

simplify103.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	196	602
1	691	550
2	3688	497
3	5002	494

prune407.0ms

Filtered

115 candidates to 80 candidates (30.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	115	6	121

Merged error: 0b

Counts

121 → 6

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)) (* y (log (sqrt z))))
0.1b	(* (+ (- 1.0 z) (log (sqrt z))) y)
0.3b	(* y (log (sqrt z)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

8.0ms	(+ (- 1.0 z) (log (sqrt z)))
40.0ms	(+ (+ (* x 0.5) (* (+ (- 1.0 z) (log (sqrt z))) y)) (* y (log (sqrt z))))
10.0ms	(* (+ (- 1.0 z) (log (sqrt z))) y)
5.0ms	(* y (log (sqrt z)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (- 1.0 z) (log (sqrt z)))
117.0ms	(+ (+ (* x 0.5) (* (+ (- 1.0 z) (log (sqrt z))) y)) (* y (log (sqrt z))))
134.0ms	(* (+ (- 1.0 z) (log (sqrt z))) y)
93.0ms	(* y (log (sqrt z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	521	1294
1	1974	1162
2	5003	1141

prune224.0ms

Filtered

148 candidates to 75 candidates (49.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	148	6	154

Merged error: 0b

Counts

154 → 6

regimes165.0ms

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	23	12
1	23	12

end0.0ms

sample980.0ms

Algorithm

intervals

Results

336.0ms	9171×	body	80	valid
257.0ms	8995×	body	80	nan