Details

sample110.0ms

Algorithm

intervals

Results

29.0ms	48×	body	1280	valid
22.0ms	45×	body	10240	exit
16.0ms	56×	body	640	valid
7.0ms	115×	body	80	valid
5.0ms	25×	body	320	valid
4.0ms	96×	body	80	nan
4.0ms	2×	body	2560	valid
2.0ms	9×	body	640	nan
1.0ms	4×	body	1280	nan
1.0ms	11×	body	160	valid
1.0ms	8×	body	320	nan
0.0ms	6×	body	160	nan

simplify199.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 23.9b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.3b	(log (+ (- 1.0 y) (* y (exp z))))
3.2b	(+ (- 1.0 y) (* y (exp z)))

rewrite27.0ms

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:

5.0ms	(* y (exp z))
8.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
148.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
73.0ms	(log (+ (- 1.0 y) (* y (exp z))))
39.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

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

prune243.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	10	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	10	93

Merged error: 4.6b

Counts

93 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
0.0b	(* 0.5 (pow z 2))
3.8b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.3b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`add-exp-log`
11×	`associate-r`
10×	`times-frac` `add-cbrt-cube`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unpow2` `difference-of-squares` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 93

Calls

4 calls:

10.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
5.0ms	(* 0.5 (pow z 2))
7.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series359.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
24.0ms	(* 0.5 (pow z 2))
85.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
126.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify65.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	460	952
1	1914	882
2	5002	882

prune300.0ms

Filtered

105 candidates to 72 candidates (68.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	100	15	115

Merged error: 4.5b

Counts

115 → 15

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
5.6b	(/ (* z y) t)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `diff-log` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

10.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.0ms	(/ (* z y) t)

series103.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify79.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	204	286
1	812	256
2	3760	256
3	5001	256

prune134.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	42	16	58

Merged error: 4.1b

Counts

58 → 16

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ z (/ t y))) (/ (log 1.0) t)))
4.6b	(/ z (/ t y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity`
44×	`add-cube-cbrt`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1` `diff-log`
1×	`sub-neg` `flip3--` `frac-2neg` `clear-num` `sum-log` `associate-/r/` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 86

Calls

2 calls:

16.0ms	(- x (+ (* 1.0 (/ z (/ t y))) (/ (log 1.0) t)))
6.0ms	(/ z (/ t y))

series134.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(- x (+ (* 1.0 (/ z (/ t y))) (/ (log 1.0) t)))
20.0ms	(/ z (/ t y))

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	431	653
1	1704	618
2	5001	617

prune225.0ms

Filtered

92 candidates to 74 candidates (80.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	92	16	108

Merged error: 4.1b

Counts

108 → 16

regimes721.0ms

Accuracy

66.1% (4.8b remaining)

Error of 8.7b against oracle of 3.9b and baseline of 18.0b

bsearch85.0ms

Steps

Iters	Range		Point
9	-0.007464634362544046	-2.8901423207748996e-08	-0.00035906880303470556

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	18
1	39	18

end0.0ms

sample3.2s

Algorithm

intervals

Results

796.0ms	1456×	body	1280	valid
757.0ms	1479×	body	10240	exit
470.0ms	1596×	body	640	valid
221.0ms	3539×	body	80	valid
180.0ms	917×	body	320	valid
104.0ms	80×	body	2560	valid
98.0ms	2503×	body	80	nan
52.0ms	242×	body	640	nan
51.0ms	439×	body	160	valid
33.0ms	105×	body	1280	nan
28.0ms	188×	body	320	nan
10.0ms	115×	body	160	nan