Details

sample123.0ms

Algorithm

intervals

Results

48.0ms	865×	body	80	nan
19.0ms	301×	body	80	valid

simplify71.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (* x (log y)) z) t) a)
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))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
60×	`associate-+l+`
51×	`distribute-lft-out`
30×	`log-prod`
27×	`add-log-exp`
24×	`add-sqr-sqrt`
22×	`associate-l`
18×	`add-cube-cbrt`
16×	`sum-log`
15×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`+-commutative`
6×	`associate-+r+` `associate-*l/` `distribute-lft-out--`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 132

Calls

4 calls:

17.0ms	(+ (+ (+ (* x (log y)) z) t) a)
34.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series439.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (+ (+ (* x (log y)) z) t) a)
247.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
66.0ms	(* (- b 0.5) (log c))
42.0ms	(* x (log y))

simplify68.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	637	1167
1	2595	1107
2	5003	1093

prune386.0ms

Filtered

144 candidates to 96 candidates (66.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	136	8	144
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	8	145

Merged error: 0.0b

Counts

145 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 196

Calls

4 calls:

55.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
8.0ms	(* (log (sqrt c)) (- b 0.5))
8.0ms	(* (- b 0.5) (log (sqrt c)))
7.0ms	(* x (log y))

series509.0ms

Counts

4 → 12

Calls

4 calls:

334.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
71.0ms	(* (log (sqrt c)) (- b 0.5))
64.0ms	(* (- b 0.5) (log (sqrt c)))
40.0ms	(* x (log y))

simplify53.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1106	2971
1	5001	2599

prune585.0ms

Filtered

208 candidates to 116 candidates (55.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	209	7	216

Merged error: 0.0b

Counts

216 → 7

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt c) (cbrt c))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt c) (cbrt c))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series772.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt c) (cbrt c))
184.0ms	(cbrt c)
191.0ms	(cbrt c)
186.0ms	(cbrt c)

simplify94.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune456.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	88	7	95

Merged error: 0.0b

Counts

95 → 7

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt c) (cbrt c))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt c) (cbrt c))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series776.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt c) (cbrt c))
185.0ms	(cbrt c)
194.0ms	(cbrt c)
187.0ms	(cbrt c)

simplify91.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune325.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	88	7	95

Merged error: 0.0b

Counts

95 → 7

regimes807.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	24
1	41	24

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.5s	27318×	body	80	nan
582.0ms	9221×	body	80	valid
0.0ms	1×	body	640	valid