Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

367×

body

valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`add-exp-log` `times-frac` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--`
3×	`add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

10.0ms

(/ (- (+ x y) z) (* t 2.0))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	207
1	763	178
2	3630	178
3	5002	178

prune69.0ms

Filtered

35 candidates to 25 candidates (71.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	3	36

Merged error: 0.0b

Counts

36 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (/ y t) (/ x t)) (/ z t))
0.0b	(+ (/ y t) (/ x t))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

246×	`*-un-lft-identity`
181×	`times-frac`
117×	`add-sqr-sqrt`
112×	`add-cube-cbrt`
104×	`prod-diff`
64×	`distribute-lft-out`
39×	`div-inv`
15×	`distribute-rgt-out`
13×	`fma-def`
9×	`add-log-exp`
8×	`fma-neg`
5×	`distribute-lft-out--`
3×	`frac-sub`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `diff-log` `frac-add` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

2 → 170

Calls

2 calls:

26.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
13.0ms	(+ (/ y t) (/ x t))

series36.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
16.0ms	(+ (/ y t) (/ x t))

simplify67.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	614	3133
1	1852	2255
2	5001	2011

prune234.0ms

Filtered

176 candidates to 73 candidates (41.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	173	3	176
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	176	3	179

Merged error: 0b

Counts

179 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma y (/ 1 t) (/ x t)) (/ z t))
0.1b	(fma y (/ 1 t) (/ x t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
39×	`*-un-lft-identity` `prod-diff`
37×	`add-cube-cbrt`
28×	`times-frac`
4×	`add-log-exp`
3×	`fma-neg` `div-inv`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--`

Counts

2 → 70

Calls

2 calls:

10.0ms	(- (fma y (/ 1 t) (/ x t)) (/ z t))
1.0ms	(fma y (/ 1 t) (/ x t))

series53.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(- (fma y (/ 1 t) (/ x t)) (/ z t))
23.0ms	(fma y (/ 1 t) (/ x t))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	384	1344
1	1187	961
2	5001	879

prune120.0ms

Filtered

76 candidates to 34 candidates (44.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	76	3	79

Merged error: 0b

Counts

79 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.7b	(pow (/ (cbrt z) (cbrt t)) 3)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
72×	`times-frac`
58×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
40×	`unpow-prod-down` `cube-prod`
7×	`add-exp-log`
5×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`pow-exp` `div-inv` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-div` `cube-mult` `pow-to-exp` `pow-pow` `unpow3` `div-exp` `sqr-pow`

Counts

4 → 141

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
9.0ms	(pow (/ (cbrt z) (cbrt t)) 3)

series604.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt t)
181.0ms	(cbrt t)
171.0ms	(cbrt t)
79.0ms	(pow (/ (cbrt z) (cbrt t)) 3)

simplify63.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	614	1129
1	2860	799
2	5001	762

prune369.0ms

Filtered

153 candidates to 70 candidates (45.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	153	3	156

Merged error: 0b

Counts

156 → 3

regimes86.0ms

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	15	6
1	15	6

end0.0ms

sample584.0ms

Algorithm

intervals

Results

303.0ms

10915×

body

valid

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4