Details

sample120.0ms

Algorithm

intervals

Results

32.0ms	59×	body	10240	exit
29.0ms	47×	body	1280	valid
15.0ms	49×	body	640	valid
7.0ms	111×	body	80	valid
5.0ms	27×	body	320	valid
5.0ms	97×	body	80	nan
2.0ms	22×	body	160	valid
2.0ms	6×	body	1280	nan
1.0ms	5×	body	640	nan
1.0ms	6×	body	320	nan
1.0ms	8×	body	160	nan

simplify238.0ms

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	1240	7
11	1558	7
12	4191	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: 26.5b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.2b	(log (+ (- 1.0 y) (* y (exp z))))
3.8b	(+ (- 1.0 y) (* y (exp z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

6.0ms	(* y (exp z))
9.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
6.0ms	(log (+ (- 1.0 y) (* y (exp z))))
7.0ms	(+ (- 1.0 y) (* y (exp z)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* y (exp z))
182.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
90.0ms	(log (+ (- 1.0 y) (* y (exp z))))
49.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify68.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5001	726

prune305.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 3.6b

Counts

93 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

3.7b	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
3.8b	(/ (* z y) t)
6.3b	(/ (* (pow z 2) y) t)
7.1b	(* (pow z 2) y)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-log-exp`
8×	`associate-l`
7×	`prod-exp`
6×	`times-frac` `div-exp` `associate-/r*`
4×	`pow1` `cbrt-undiv` `unpow-prod-down` `associate-*r/` `frac-add` `unswap-sqr`
3×	`associate-r` `sum-log` `cbrt-unprod`
2×	`pow-to-exp` `frac-2neg` `flip3-+` `pow-exp` `clear-num` `flip-+` `div-inv` `associate-/l*` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `*-commutative`

Counts

4 → 87

Calls

4 calls:

14.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.0ms	(/ (* z y) t)
6.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series179.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
23.0ms	(/ (* z y) t)
27.0ms	(/ (* (pow z 2) y) t)
22.0ms	(* (pow z 2) y)

simplify84.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	492	659
1	2299	586
2	5001	586

prune570.0ms

Filtered

99 candidates to 66 candidates (66.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	95	10	105

Merged error: 3.3b

Counts

105 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

3.7b	(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
3.9b	(/ t (* z y))
6.3b	(/ (* (pow z 2) y) t)
7.1b	(* (pow z 2) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-log-exp`
8×	`associate-l` `frac-add`
7×	`prod-exp`
6×	`times-frac` `div-exp`
5×	`associate-*r/`
4×	`pow1` `cbrt-undiv` `unpow-prod-down` `associate-/r` `associate-/l` `unswap-sqr`
3×	`flip3-+` `associate-r` `sum-log` `un-div-inv` `cbrt-unprod` `flip-+`
2×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `*-commutative`

Counts

4 → 90

Calls

4 calls:

17.0ms	(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.0ms	(/ t (* z y))
6.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series226.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(+ (* 1.0 (/ 1 (/ t (* z y)))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
27.0ms	(/ t (* z y))
22.0ms	(/ (* (pow z 2) y) t)
22.0ms	(* (pow z 2) y)

simplify93.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	536	799
1	2526	716
2	5003	713

prune321.0ms

Filtered

102 candidates to 67 candidates (65.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	102	10	112

Merged error: 3.3b

Counts

112 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

3.7b	(+ (* 1.0 (* z (/ y t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.2b	(* z (/ y t))
6.3b	(/ (* (pow z 2) y) t)
7.1b	(* (pow z 2) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`add-exp-log`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r` `add-cbrt-cube`
13×	`times-frac`
11×	`associate-l`
9×	`add-log-exp`
8×	`associate-*r/` `prod-exp`
6×	`pow1` `unswap-sqr`
5×	`div-exp`
4×	`unpow-prod-down` `frac-add` `cbrt-unprod`
3×	`cbrt-undiv` `associate-/r*` `sum-log`
2×	`pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `flip-+` `div-inv` `unpow2` `sqr-pow`
1×	`+-commutative` `associate-+r+` `frac-2neg` `pow-prod-down` `clear-num` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

15.0ms	(+ (* 1.0 (* z (/ y t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
7.0ms	(* z (/ y t))
6.0ms	(/ (* (pow z 2) y) t)
6.0ms	(* (pow z 2) y)

series183.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ (* 1.0 (* z (/ y t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
23.0ms	(* z (/ y t))
27.0ms	(/ (* (pow z 2) y) t)
23.0ms	(* (pow z 2) y)

simplify105.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	558	708
1	2772	632
2	5001	632

prune316.0ms

Filtered

110 candidates to 75 candidates (68.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	8	8
Picked	1	0	1
Done	1	0	1
Total	110	10	120

Merged error: 3.3b

Counts

120 → 10

regimes626.0ms

Accuracy

73.8% (4.9b remaining)

Error of 8.6b against oracle of 3.7b and baseline of 22.6b

bsearch161.0ms

Steps

Iters	Range		Point
7	3.7466481221901036e-105	2.1581155054794972e-103	8.835033687084869e-104
7	-1.3488457936154646e-05	-1.1902930357079885e-07	-2.2289774717631446e-07

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	30
1	58	30

end0.0ms

sample3.4s

Algorithm

intervals

Results

849.0ms	1489×	body	1280	valid
817.0ms	1490×	body	10240	exit
486.0ms	1525×	body	640	valid
240.0ms	3565×	body	80	valid
181.0ms	903×	body	320	valid
110.0ms	2551×	body	80	nan
96.0ms	69×	body	2560	valid
61.0ms	264×	body	640	nan
57.0ms	473×	body	160	valid
48.0ms	134×	body	1280	nan
26.0ms	176×	body	320	nan
10.0ms	97×	body	160	nan