Details

sample44.0ms

Algorithm

intervals

Results

24.0ms

765×

body

valid

simplify59.0ms

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: 7.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
6.6b	(/ (* (cosh x) (/ y x)) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

6.0ms	(* (cosh x) (/ y x))
6.0ms	(/ (* (cosh x) (/ y x)) z)

series196.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(* (cosh x) (/ y x))
115.0ms	(/ (* (cosh x) (/ y x)) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	345	374
1	1456	317
2	5001	317

prune145.0ms

Filtered

66 candidates to 49 candidates (74.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.2b	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y))
6.6b	(/ (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y)) z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac`
70×	`*-un-lft-identity`
68×	`add-sqr-sqrt` `add-cube-cbrt`
33×	`add-exp-log` `add-cbrt-cube`
19×	`associate-/l*`
17×	`cbrt-undiv` `div-exp`
16×	`associate-/r*`
12×	`div-inv`
5×	`associate-/r/` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`pow1` `associate-/l/`
2×	`frac-2neg` `flip3-+` `associate-*r/` `clear-num` `flip-+`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

3 → 156

Calls

3 calls:

4.0ms	(+ (exp (* -1 x)) (exp x))
10.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y))
12.0ms	(/ (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y)) z)

series176.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (exp (* -1 x)) (exp x))
64.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y))
90.0ms	(/ (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y)) z)

simplify108.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	856	1876
1	4026	1689
2	5003	1689

prune433.0ms

Filtered

165 candidates to 130 candidates (78.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	165	9	174

Merged error: 0b

Counts

174 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) y)
0.3b	(* (* (cosh x) y) (/ 1 x))
6.6b	(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
35×	`add-cbrt-cube`
25×	`prod-exp`
17×	`div-exp`
16×	`add-sqr-sqrt` `associate-r`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`cbrt-unprod`
12×	`times-frac`
10×	`pow1`
9×	`cbrt-undiv`
7×	`associate-*l/`
5×	`cosh-def`
4×	`rec-exp` `1-exp` `associate-l` `pow-prod-down` `associate-/l/`
3×	`associate-/r*` `add-log-exp`
2×	`frac-times` `associate-r/` `un-div-inv` `-commutative` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/l*` `unswap-sqr`

Counts

3 → 94

Calls

3 calls:

4.0ms	(* (cosh x) y)
8.0ms	(* (* (cosh x) y) (/ 1 x))
9.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)

series272.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (cosh x) y)
76.0ms	(* (* (cosh x) y) (/ 1 x))
123.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	522	611
1	2707	476
2	5001	462

prune151.0ms

Filtered

103 candidates to 60 candidates (58.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	5	2	7
Picked	0	1	1
Done	0	1	1
Total	106	6	112

Merged error: 0b

Counts

112 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.6b	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
6.8b	(/ (* z x) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

4.0ms	(+ (exp (* -1 x)) (exp x))
10.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
4.0ms	(/ (* z x) y)

series150.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (exp (* -1 x)) (exp x))
105.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
18.0ms	(/ (* z x) y)

simplify61.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	441	684
1	2493	546
2	5001	546

prune159.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	82	6	88

Merged error: 0b

Counts

88 → 6

regimes119.0ms

Accuracy

94.3% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 7.5b

bsearch84.0ms

Steps

Iters	Range		Point
7	1.1950280286036892e+19	1.9597593930175026e+21	1.8720211855765746e+19
6	-5.939714187939173e-22	-7.949661431150896e-23	-5.459812654664449e-22

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	21
1	37	21

end0.0ms

sample1.2s

Algorithm

intervals

Results

735.0ms

22825×

body

valid