Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

306×

body

valid

simplify101.0ms

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: 11.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
10.3b	(/ (* x (+ (- y z) 1.0)) z)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
42×	`times-frac`
25×	`associate-r`
22×	`associate-+l+`
18×	`prod-diff`
15×	`associate-l`
14×	`associate-/l*`
13×	`distribute-rgt-in` `distribute-lft-in`
10×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
5×	`*-commutative` `distribute-lft-out--` `unswap-sqr`
4×	`pow1` `associate-*r/`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `expm1-log1p-u` `sub-neg` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 127

Calls

2 calls:

11.0ms	(* x (+ (- y z) 1.0))
17.0ms	(/ (* x (+ (- y z) 1.0)) z)

series82.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (+ (- y z) 1.0))
43.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify84.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	489	1015
1	2472	838
2	5001	838

prune239.0ms

Filtered

133 candidates to 78 candidates (58.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	5	134

Merged error: 0b

Counts

134 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.9b	(/ (* x 1) (/ z (+ (- y z) 1.0)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

498×	`times-frac`
463×	`*-un-lft-identity`
272×	`add-sqr-sqrt`
206×	`add-cube-cbrt`
94×	`distribute-lft-out`
66×	`associate-r` `associate-l`
47×	`distribute-lft-out--`
44×	`unswap-sqr`
41×	`associate-/r/`
31×	`associate-/r*`
22×	`*-commutative`
21×	`add-exp-log`
19×	`associate-/l*`
16×	`add-cbrt-cube` `div-inv`
15×	`flip3-+` `flip-+`
10×	`div-exp`
7×	`cbrt-undiv`
4×	`prod-exp`
3×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `1-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

2 → 379

Calls

2 calls:

8.0ms	(/ z (+ (- y z) 1.0))
23.0ms	(/ (* x 1) (/ z (+ (- y z) 1.0)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ z (+ (- y z) 1.0))
45.0ms	(/ (* x 1) (/ z (+ (- y z) 1.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

385 → 385

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1175	3796
1	5001	3500

prune430.0ms

Filtered

385 candidates to 134 candidates (34.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	384	1	385
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	385	5	390

Merged error: 0b

Counts

390 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
4.4b	(* (* x 1) (/ (+ (- y z) 1.0) z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
33×	`times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
21×	`add-exp-log`
18×	`distribute-lft-out`
16×	`associate-l` `add-cbrt-cube`
13×	`associate-r/` `associate-/l`
12×	`unswap-sqr`
10×	`prod-exp`
9×	`distribute-lft-out--`
7×	`pow1`
6×	`associate-/r*` `cbrt-unprod`
4×	`div-exp` `un-div-inv` `associate-/l/`
3×	`cbrt-undiv` `pow-prod-down` `clear-num`
2×	`expm1-log1p-u` `frac-2neg` `flip3-+` `1-exp` `*-commutative` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`associate-+l-` `div-sub`

Counts

2 → 117

Calls

2 calls:

11.0ms	(/ (+ (- y z) 1.0) z)
25.0ms	(* (* x 1) (/ (+ (- y z) 1.0) z))

series70.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (+ (- y z) 1.0) z)
44.0ms	(* (* x 1) (/ (+ (- y z) 1.0) z))

simplify71.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	478	712
1	1950	634
2	5002	629

prune216.0ms

Filtered

123 candidates to 71 candidates (57.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	123	5	128

Merged error: 0b

Counts

128 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

9.6b	(* (+ (- y z) 1.0) (/ x z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 66

Calls

1 calls:

15.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	352	523
1	1856	488
2	5001	488

prune148.0ms

Filtered

69 candidates to 48 candidates (69.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	69	5	74

Merged error: 0b

Counts

74 → 5

regimes121.0ms

Accuracy

97.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.2b

bsearch93.0ms

Steps

Iters	Range		Point
9	0.3235305135594418	10451050.785873119	154467.80216557847
10	-5.407097880009371e+18	-85019.06990604498	-13140418048897928.0

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	9
1	28	9
2	28	9

end0.0ms

sample458.0ms

Algorithm

intervals

Results

251.0ms

10135×

body

valid