Details

sample100.0ms

Algorithm

intervals

Results

26.0ms	46×	body	1280	valid
20.0ms	35×	body	10240	exit
12.0ms	42×	body	640	valid
7.0ms	114×	body	80	valid
7.0ms	37×	body	320	valid
3.0ms	2×	body	2560	valid
3.0ms	76×	body	80	nan
3.0ms	14×	body	640	nan
2.0ms	16×	body	160	valid
1.0ms	4×	body	1280	nan
0.0ms	6×	body	160	nan
0.0ms	3×	body	320	nan

simplify210.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	710	7
9	1092	7
10	1238	7
11	1552	7
12	4056	7
13	5001	7

prune3.0ms

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: 23.5b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.6b	(log (+ (- 1.0 y) (* y (exp z))))
2.7b	(+ (- 1.0 y) (* y (exp z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
10×	`add-exp-log`
9×	`add-log-exp`
8×	`add-cbrt-cube` `distribute-lft-out`
7×	`log-prod` `associate-l`
5×	`log-pow`
4×	`log-div` `associate-/l*` `distribute-lft-out--`
3×	`flip3-+` `associate-r` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `prod-exp` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

5.0ms	(* y (exp z))
12.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
10.0ms	(log (+ (- 1.0 y) (* y (exp z))))
10.0ms	(+ (- 1.0 y) (* y (exp z)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* y (exp z))
156.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
76.0ms	(log (+ (- 1.0 y) (* y (exp z))))
39.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	449	836
1	1739	771
2	5001	764

prune201.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	95	6	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	6	102

Merged error: 4.3b

Counts

102 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
3.3b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.8b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
24×	`distribute-lft-out`
23×	`associate-r`
22×	`associate-l`
21×	`add-cube-cbrt` `times-frac`
16×	`pow1`
13×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`log-pow`
7×	`associate-/l*`
6×	`unpow2` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `distribute-rgt-out` `prod-exp`
3×	`+-commutative` `flip3-+` `associate-/r*` `flip-+`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `pow-prod-down` `-commutative` `cbrt-unprod` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 120

Calls

4 calls:

6.0ms	(* 0.5 (pow z 2))
21.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
23.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
30.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series307.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* 0.5 (pow z 2))
69.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
89.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
123.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify63.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	414	994
1	1848	915
2	5002	905

prune247.0ms

Filtered

132 candidates to 75 candidates (56.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	126	6	132
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	127	11	138

Merged error: 4.2b

Counts

138 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
3.3b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.8b	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`associate-r`
23×	`add-cube-cbrt` `associate-l`
20×	`add-exp-log`
18×	`frac-times`
13×	`add-cbrt-cube`
12×	`pow1` `flip3-+` `flip-+` `distribute-lft-out`
11×	`times-frac` `associate-*r/`
10×	`associate-/l*`
9×	`associate-/r*`
8×	`prod-exp` `unswap-sqr`
6×	`unpow2` `add-log-exp`
4×	`unpow-prod-down` `distribute-rgt-out` `clear-num` `cbrt-unprod`
3×	`+-commutative` `frac-2neg` `pow-prod-down` `un-div-inv` `*-commutative`
2×	`distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-*l/` `log-pow` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `rec-exp` `1-exp` `pow-exp` `sum-log` `div-inv`

Counts

4 → 145

Calls

4 calls:

6.0ms	(* 0.5 (pow z 2))
19.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
23.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
36.0ms	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

series330.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 0.5 (pow z 2))
87.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
89.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
127.0ms	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

simplify103.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	601	1484
1	3202	1372
2	5001	1344

prune321.0ms

Filtered

157 candidates to 89 candidates (56.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	157	11	168

Merged error: 4.2b

Counts

168 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
3.3b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.8b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ t (cbrt 1)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

298×	`times-frac`
295×	`*-un-lft-identity`
147×	`add-sqr-sqrt`
139×	`add-cube-cbrt`
100×	`distribute-lft-out`
75×	`cbrt-prod`
60×	`associate-l`
54×	`pow1`
46×	`log-pow`
28×	`associate-/r*`
23×	`associate-r`
16×	`add-exp-log`
15×	`add-cbrt-cube`
12×	`associate-/r/`
10×	`associate-/l*`
9×	`div-inv`
6×	`unpow2` `add-log-exp`
5×	`cbrt-undiv` `unswap-sqr`
4×	`unpow-prod-down` `distribute-rgt-out` `prod-exp`
3×	`+-commutative` `flip3-+` `div-exp` `flip-+`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `cbrt-unprod` `associate-/l/` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `sum-log`

Counts

4 → 287

Calls

4 calls:

7.0ms	(* 0.5 (pow z 2))
22.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
23.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
39.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ t (cbrt 1)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* 0.5 (pow z 2))
76.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
98.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
139.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ t (cbrt 1)))

simplify139.0ms

Algorithm

egg-herbie

Counts

299 → 299

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	792	4188
1	3865	3967
2	5001	3142

prune334.0ms

Filtered

299 candidates to 97 candidates (32.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	297	2	299
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	299	11	310

Merged error: 4.2b

Counts

310 → 11

regimes630.0ms

Accuracy

73.9% (4.4b remaining)

Error of 9.0b against oracle of 4.6b and baseline of 21.3b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	26
1	40	26

end0.0ms

sample3.1s

Algorithm

intervals

Results

760.0ms	1431×	body	1280	valid
736.0ms	1472×	body	10240	exit
460.0ms	1570×	body	640	valid
213.0ms	3577×	body	80	valid
169.0ms	906×	body	320	valid
115.0ms	91×	body	2560	valid
92.0ms	2518×	body	80	nan
57.0ms	274×	body	640	nan
50.0ms	449×	body	160	valid
31.0ms	108×	body	1280	nan
26.0ms	198×	body	320	nan
11.0ms	128×	body	160	nan