Details

sample44.0ms

Algorithm

intervals

Results

25.0ms

716×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	4
1	41	4
2	102	4
3	224	4
4	401	4
5	758	4
6	2403	4
7	5002	4

prune2.0ms

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: 11.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ y x))
10.5b	(/ (* (cosh x) (/ y x)) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`add-exp-log` `add-cbrt-cube`
13×	`add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-r*`
5×	`pow1` `cbrt-undiv` `cosh-def` `div-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`associate-l` `associate-/r*` `associate-/l/` `add-log-exp`
2×	`frac-times` `associate-r/` `associate-l/` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

3 → 68

Calls

3 calls:

1.0ms	(cosh x)
7.0ms	(* (cosh x) (/ y x))
7.0ms	(/ (* (cosh x) (/ y x)) z)

series298.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(cosh x)
102.0ms	(* (cosh x) (/ y x))
133.0ms	(/ (* (cosh x) (/ y x)) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	372	414
1	1616	354
2	5001	354

prune212.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	68	9	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	10	78

Merged error: 0.0b

Counts

78 → 10

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ (exp x) (exp (- x))) y)
0.0b	(+ (exp x) (exp (- x)))
7.5b	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

8.0ms	(* (+ (exp x) (exp (- x))) y)
5.0ms	(+ (exp x) (exp (- x)))
13.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

series202.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* (+ (exp x) (exp (- x))) y)
25.0ms	(+ (exp x) (exp (- x)))
111.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

simplify72.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	421	641
1	2448	493
2	5003	493

prune195.0ms

Filtered

69 candidates to 46 candidates (66.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	5	3	8
Picked	1	0	1
Done	0	1	1
Total	69	10	79

Merged error: 0.0b

Counts

79 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (exp x) (exp (- x))) y) z)
0.0b	(* (+ (exp x) (exp (- x))) y)
0.0b	(+ (exp x) (exp (- x)))
6.4b	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
16×	`*-un-lft-identity` `times-frac`
14×	`add-sqr-sqrt`
12×	`cbrt-undiv` `add-cube-cbrt` `div-exp`
8×	`associate-/l*`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1` `add-log-exp`
4×	`associate-l` `associate-l/` `associate-/r` `div-inv`
3×	`flip3-+` `associate-r` `flip-+` `associate-/l/`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

9.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
8.0ms	(* (+ (exp x) (exp (- x))) y)
5.0ms	(+ (exp x) (exp (- x)))
12.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series295.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
72.0ms	(* (+ (exp x) (exp (- x))) y)
25.0ms	(+ (exp x) (exp (- x)))
110.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify80.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	490	963
1	2526	767
2	5002	766

prune265.0ms

Filtered

106 candidates to 74 candidates (69.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	108	8	116

Merged error: 0b

Counts

116 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (exp x) (exp (- x))) y) z)
0.0b	(* (+ (exp x) (exp (- x))) y)
0.0b	(+ (exp x) (exp (- x)))
6.4b	(* (/ (* (+ (exp x) (exp (- x))) y) z) (/ 1/2 x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

9.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
14.0ms	(* (+ (exp x) (exp (- x))) y)
6.0ms	(+ (exp x) (exp (- x)))
15.0ms	(* (/ (* (+ (exp x) (exp (- x))) y) z) (/ 1/2 x))

series299.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
77.0ms	(* (+ (exp x) (exp (- x))) y)
29.0ms	(+ (exp x) (exp (- x)))
115.0ms	(* (/ (* (+ (exp x) (exp (- x))) y) z) (/ 1/2 x))

simplify98.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	568	1039
1	2996	853
2	5001	852

prune277.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	114	8	122

Merged error: 0b

Counts

122 → 8

regimes289.0ms

Accuracy

95.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.1b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	27
1	36	27

end0.0ms

sample1.1s

Algorithm

intervals

Results

639.0ms

22213×

body

valid