Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

325×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	4
1	46	4
2	121	4
3	258	4
4	434	4
5	687	4
6	1957	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: 11.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
11.2b	(/ (* x (+ (- y z) 1.0)) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `associate-/l/` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

9.0ms	(* x (+ (- y z) 1.0))
10.0ms	(/ (* x (+ (- y z) 1.0)) z)

series80.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (+ (- y z) 1.0))
47.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	262	303
1	1268	253
2	5002	253

prune110.0ms

Filtered

57 candidates to 39 candidates (68.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	6	58

Merged error: 0b

Counts

58 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.0b	(/ x (/ z (+ (- y z) 1.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 143

Calls

2 calls:

8.0ms	(/ z (+ (- y z) 1.0))
12.0ms	(/ x (/ z (+ (- y z) 1.0)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ z (+ (- y z) 1.0))
49.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify73.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	463	1195
1	2143	1142
2	5001	1140

prune262.0ms

Filtered

149 candidates to 98 candidates (65.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	150	5	155

Merged error: 0b

Counts

155 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
3.1b	(* x (/ (+ (- y z) 1.0) z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
31×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
19×	`associate-r`
14×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`associate-+l-` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

2 → 80

Calls

2 calls:

9.0ms	(/ (+ (- y z) 1.0) z)
13.0ms	(* x (/ (+ (- y z) 1.0) z))

series75.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (+ (- y z) 1.0) z)
48.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify49.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	274	497
1	1191	450
2	5001	447

prune130.0ms

Filtered

86 candidates to 54 candidates (62.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

9.7b	(* (/ x z) (+ (- y z) 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`associate-l`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow1`
2×	`frac-times` `flip3-+` `associate-*r/` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`cbrt-undiv` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `distribute-lft-out--` `add-log-exp`

Counts

1 → 42

Calls

1 calls:

13.0ms

(* (/ x z) (+ (- y z) 1.0))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* (/ x z) (+ (- y z) 1.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	339	277
1	1381	249
2	5002	243

prune78.0ms

Filtered

45 candidates to 32 candidates (71.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	46	4	50

Merged error: 0b

Counts

50 → 4

regimes66.0ms

Accuracy

15.9% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.6b

bsearch77.0ms

Steps

Iters	Range		Point
8	1.6950301408918293e-267	4.713144350555264e-265	4.5156620335976036e-265
8	-1.2174579594918508e-195	-5.080174011508833e-200	-1.193248155890783e-195

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

sample523.0ms

Algorithm

intervals

Results

306.0ms

10120×

body

valid