Details

sample30.0ms

Algorithm

intervals

Results

16.0ms

332×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

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

prune8.0ms

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: 9.6b

Counts

2 → 2

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`fma-def` `*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `frac-add` `prod-exp` `clear-num` `associate-/r*` `sum-log` `cbrt-unprod` `distribute-lft-out`

Counts

2 → 53

Calls

2 calls:

12.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series108.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
62.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify36.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	295	439
1	1099	387
2	5002	384

prune164.0ms

Filtered

59 candidates to 49 candidates (83.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	54	7	61

Merged error: 0b

Counts

61 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
18×	`prod-diff`
15×	`add-exp-log`
13×	`fma-def`
12×	`associate-+r+` `times-frac`
11×	`add-log-exp`
9×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`fma-neg` `prod-exp` `fma-udef` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `rec-exp` `flip3--` `pow-flip` `diff-log` `1-exp` `frac-add` `associate--l+` `sum-log` `flip--` `div-inv` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `inv-pow` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

4.0ms	(- (fma 2.0 (/ 1 (* t z)) (/ 2.0 t)) 2.0)
11.0ms	(+ (/ x y) (- (fma 2.0 (/ 1 (* t z)) (/ 2.0 t)) 2.0))
1.0ms	(fma 2.0 (/ 1 (* t z)) (/ 2.0 t))
5.0ms	(/ 1 (* t z))

series144.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (fma 2.0 (/ 1 (* t z)) (/ 2.0 t)) 2.0)
56.0ms	(+ (/ x y) (- (fma 2.0 (/ 1 (* t z)) (/ 2.0 t)) 2.0))
46.0ms	(fma 2.0 (/ 1 (* t z)) (/ 2.0 t))
12.0ms	(/ 1 (* t z))

simplify49.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	393	915
1	1512	761
2	5001	750

prune252.0ms

Filtered

125 candidates to 85 candidates (68.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	121	4	125
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	125	7	132

Merged error: 0b

Counts

132 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
73×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
18×	`prod-diff`
13×	`add-exp-log` `fma-def` `associate-/l*`
12×	`associate-+r+`
11×	`add-log-exp`
9×	`add-cbrt-cube`
6×	`div-exp` `div-inv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-neg` `associate-/r*` `fma-udef`
2×	`sub-neg` `flip3--` `diff-log` `frac-add` `associate--l+` `sum-log` `flip--` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/` `difference-of-squares`

Counts

4 → 157

Calls

4 calls:

4.0ms	(- (fma 2.0 (/ (/ 1 t) z) (/ 2.0 t)) 2.0)
11.0ms	(+ (/ x y) (- (fma 2.0 (/ (/ 1 t) z) (/ 2.0 t)) 2.0))
1.0ms	(fma 2.0 (/ (/ 1 t) z) (/ 2.0 t))
6.0ms	(/ (/ 1 t) z)

series145.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (fma 2.0 (/ (/ 1 t) z) (/ 2.0 t)) 2.0)
52.0ms	(+ (/ x y) (- (fma 2.0 (/ (/ 1 t) z) (/ 2.0 t)) 2.0))
47.0ms	(fma 2.0 (/ (/ 1 t) z) (/ 2.0 t))
12.0ms	(/ (/ 1 t) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	600	1276
1	2201	1092
2	5001	1047

prune324.0ms

Filtered

169 candidates to 109 candidates (64.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	170	6	176

Merged error: 0b

Counts

176 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
0.6b	(cbrt (/ 1 t))
0.6b	(cbrt (/ 1 t))
0.6b	(cbrt (/ 1 t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

17.0ms	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
3.0ms	(cbrt (/ 1 t))
3.0ms	(cbrt (/ 1 t))
3.0ms	(cbrt (/ 1 t))

series721.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt (/ 1 t)) (cbrt (/ 1 t)))
173.0ms	(cbrt (/ 1 t))
170.0ms	(cbrt (/ 1 t))
181.0ms	(cbrt (/ 1 t))

simplify58.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	223	1172
1	902	1064
2	5001	904

prune373.0ms

Filtered

173 candidates to 104 candidates (60.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	173	6	179

Merged error: 0b

Counts

179 → 6

regimes138.0ms

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	17	7
1	17	7

end0.0ms

sample795.0ms

Algorithm

intervals

Results

521.0ms

10342×

body

valid