Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

306×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	52	3
3	88	3
4	102	3
5	102	3

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: 2.6b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.5b	(* x (- 1.0 (* y z)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
3×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

5.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	151	195
1	598	171
2	2506	166
3	5003	160

prune62.0ms

Filtered

35 candidates to 20 candidates (57.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	6	36

Merged error: 2.5b

Counts

36 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

2.5b	(* x (- 1.0 (* y z)))
52.3b	(fma (- z) y (* z y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

5.0ms	(* x (- 1.0 (* y z)))
1.0ms	(fma (- z) y (* z y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* x (- 1.0 (* y z)))
29.0ms	(fma (- z) y (* z y))

simplify75.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	161	245
1	636	214
2	2643	209
3	5001	198

prune111.0ms

Filtered

48 candidates to 31 candidates (64.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 2.5b

Counts

54 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (- 1.0 (* y z))) (fma y z 1.0))
2.5b	(* x (- 1.0 (* y z)))
9.4b	(/ (* (* x (- 1.0 (* y z))) (fma y z 1.0)) (+ 1.0 (* y z)))
52.3b	(fma (- z) y (* z y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

7.0ms	(* (* x (- 1.0 (* y z))) (fma y z 1.0))
6.0ms	(* x (- 1.0 (* y z)))
10.0ms	(/ (* (* x (- 1.0 (* y z))) (fma y z 1.0)) (+ 1.0 (* y z)))
1.0ms	(fma (- z) y (* z y))

series279.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (* x (- 1.0 (* y z))) (fma y z 1.0))
50.0ms	(* x (- 1.0 (* y z)))
95.0ms	(/ (* (* x (- 1.0 (* y z))) (fma y z 1.0)) (+ 1.0 (* y z)))
25.0ms	(fma (- z) y (* z y))

simplify75.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	402	776
1	2503	535
2	5001	535

prune284.0ms

Filtered

107 candidates to 73 candidates (68.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	106	7	113

Merged error: 2.5b

Counts

113 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (* x (- 1.0 (* y z))))
0.2b	(/ 1 (/ 1 (* x (- 1.0 (* y z)))))
2.5b	(* x (- 1.0 (* y z)))
52.3b	(fma (- z) y (* z y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-exp-log`
42×	`times-frac`
30×	`add-sqr-sqrt` `div-exp`
28×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
15×	`rec-exp` `1-exp`
13×	`pow1` `prod-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
8×	`pow-flip`
7×	`cbrt-undiv`
6×	`flip3--` `prod-diff` `flip--` `div-inv` `associate-/l*`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `pow-prod-down` `cbrt-unprod` `inv-pow`
2×	`sub-neg` `frac-2neg` `clear-num`
1×	`*-commutative` `fma-udef` `remove-double-div` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

9.0ms	(/ 1 (* x (- 1.0 (* y z))))
15.0ms	(/ 1 (/ 1 (* x (- 1.0 (* y z)))))
10.0ms	(* x (- 1.0 (* y z)))
1.0ms	(fma (- z) y (* z y))

series193.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ 1 (* x (- 1.0 (* y z))))
53.0ms	(/ 1 (/ 1 (* x (- 1.0 (* y z)))))
49.0ms	(* x (- 1.0 (* y z)))
25.0ms	(fma (- z) y (* z y))

simplify100.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	477	993
1	2600	824
2	5001	758

prune344.0ms

Filtered

168 candidates to 81 candidates (48.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	168	7	175

Merged error: 2.4b

Counts

175 → 7

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.1b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample392.0ms

Algorithm

intervals

Results

197.0ms

9640×

body

valid