Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

340×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (13.0ms)

Iter	Nodes	Cost
0	25	8
1	50	8
2	106	8
3	208	8
4	322	6
5	520	6
6	1439	6
7	5002	6

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 8.3b

Counts

2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

316×	`*-un-lft-identity`
207×	`frac-add`
189×	`associate-/r*`
183×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
139×	`associate-l`
129×	`associate-/l*`
97×	`times-frac`
81×	`distribute-lft-out`
56×	`associate-r`
33×	`frac-2neg` `clear-num`
20×	`associate-/l/` `unswap-sqr`
18×	`prod-diff` `*-commutative`
13×	`add-exp-log` `fma-def` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
8×	`pow1`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `associate-*r/` `div-exp` `div-inv`
1×	`+-commutative` `flip3--` `sum-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 409

Calls

3 calls:

11.0ms	(* (* z 2.0) (- 1.0 t))
65.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
22.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series171.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (* z 2.0) (- 1.0 t))
51.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
69.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify109.0ms

Algorithm

egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 1 (55.0ms)

Iter	Nodes	Cost
0	2499	5690
1	5002	5322

prune918.0ms

Filtered

418 candidates to 226 candidates (54.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	414	4	418
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	415	5	420

Merged error: 0b

Counts

420 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.0b	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.6b	(/ 1 (* t z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
43×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
35×	`add-cube-cbrt`
14×	`add-exp-log`
13×	`fma-def`
12×	`associate-r` `associate-l` `associate-/r*`
8×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `*-commutative` `unswap-sqr`
3×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp` `fma-udef` `div-inv`
1×	`+-commutative` `associate-+r+` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out` `inv-pow`

Counts

3 → 112

Calls

3 calls:

1.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
8.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
8.0ms	(/ 1 (* t z))

series109.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
62.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
12.0ms	(/ 1 (* t z))

simplify56.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	359	653
1	1407	593
2	5001	535

prune271.0ms

Filtered

121 candidates to 72 candidates (59.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	121	5	126

Merged error: 0b

Counts

126 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0))
0.0b	(+ (/ x y) (fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0)))
0.2b	(/ (/ 1 z) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
56×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/l*`
13×	`fma-def`
12×	`add-exp-log`
9×	`associate-/l/`
8×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*` `div-inv`
5×	`add-log-exp`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `fma-udef`
1×	`+-commutative` `rec-exp` `associate-+r+` `flip3-+` `1-exp` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 120

Calls

3 calls:

1.0ms	(fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0))
8.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0)))
7.0ms	(/ (/ 1 z) t)

series93.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0))
54.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0)))
9.0ms	(/ (/ 1 z) t)

simplify46.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	452	763
1	1670	693
2	5001	643

prune320.0ms

Filtered

129 candidates to 83 candidates (64.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	129	5	134

Merged error: 0b

Counts

134 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0))
0.0b	(+ (/ x y) (fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.3b	(* (/ 1 t) (/ 1 z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-sqr-sqrt`
81×	`frac-times`
73×	`*-un-lft-identity`
64×	`add-cube-cbrt`
61×	`associate-/l*`
60×	`associate-/r*`
43×	`add-exp-log`
39×	`times-frac`
21×	`clear-num`
20×	`frac-2neg`
16×	`div-exp` `prod-exp`
15×	`add-cbrt-cube`
13×	`fma-def` `associate-r` `associate-l`
9×	`associate-r/` `associate-l/` `unswap-sqr`
8×	`rec-exp` `1-exp`
7×	`pow1`
5×	`add-log-exp`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `un-div-inv` `log1p-expm1-u` `div-inv`
2×	`pow-flip` `fma-udef` `inv-pow`
1×	`+-commutative` `associate-+r+` `flip3-+` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

3 → 208

Calls

3 calls:

1.0ms	(fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0))
8.0ms	(+ (/ x y) (fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0)))
19.0ms	(* (/ 1 t) (/ 1 z))

series107.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0))
61.0ms	(+ (/ x y) (fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0)))
12.0ms	(* (/ 1 t) (/ 1 z))

simplify91.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	795	1125
1	3621	948
2	5001	832

prune393.0ms

Filtered

217 candidates to 106 candidates (48.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	217	5	222

Merged error: 0b

Counts

222 → 5

regimes128.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample720.0ms

Algorithm

intervals

Results

426.0ms

10577×

body

valid