Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

278×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

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: 0.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.2b	(* y (/ (- z t) (- a t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
8.0ms	(/ (- z t) (- a t))
13.0ms	(* y (/ (- z t) (- a t)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (* y (/ (- z t) (- a t))))
47.0ms	(/ (- z t) (- a t))
60.0ms	(* y (/ (- z t) (- a t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	421	747
1	1657	704
2	5001	704

prune235.0ms

Filtered

122 candidates to 83 candidates (68.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 0.0b

Counts

123 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
2.7b	(cbrt (/ (- z t) (- a t)))
2.7b	(cbrt (/ (- z t) (- a t)))
2.7b	(cbrt (/ (- z t) (- a t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

20.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
10.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))

series1.1s

Counts

4 → 12

Calls

4 calls:

157.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
295.0ms	(cbrt (/ (- z t) (- a t)))
301.0ms	(cbrt (/ (- z t) (- a t)))
298.0ms	(cbrt (/ (- z t) (- a t)))

simplify107.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	449	1623
1	1091	1553
2	3959	1540
3	5003	1510

prune429.0ms

Filtered

154 candidates to 110 candidates (71.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	153	8	161

Merged error: 0b

Counts

161 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.7b	(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))
2.7b	(cbrt (/ (- z t) (- a t)))
2.7b	(cbrt (/ (- z t) (- a t)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-prod`
70×	`add-sqr-sqrt` `*-un-lft-identity`
51×	`times-frac`
28×	`add-cube-cbrt`
21×	`distribute-lft-out--` `difference-of-squares`
17×	`cbrt-div`
12×	`associate-/r/`
9×	`flip3--` `flip--`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`div-inv`
2×	`associate-r/` `associate-l/`

Counts

4 → 117

Calls

4 calls:

3.0ms	(cbrt (- z t))
16.0ms	(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))
7.0ms	(cbrt (/ (- z t) (- a t)))
11.0ms	(cbrt (/ (- z t) (- a t)))

series1.0s

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (- z t))
257.0ms	(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))
299.0ms	(cbrt (/ (- z t) (- a t)))
297.0ms	(cbrt (/ (- z t) (- a t)))

simplify113.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	557	1452
1	1255	1401
2	4223	1377
3	5001	1349

prune552.0ms

Filtered

129 candidates to 98 candidates (76.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	129	8	137

Merged error: 0b

Counts

137 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
14.6b	(/ (* y (- z t)) (- a t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

7.0ms	(+ x (/ (* y (- z t)) (- a t)))
6.0ms	(* y (- z t))
13.0ms	(/ (* y (- z t)) (- a t))

series173.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ x (/ (* y (- z t)) (- a t)))
38.0ms	(* y (- z t))
60.0ms	(/ (* y (- z t)) (- a t))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	334	381
1	1437	342
2	5001	342

prune116.0ms

Filtered

76 candidates to 49 candidates (64.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	76	8	84

Merged error: 0b

Counts

84 → 8

regimes270.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample574.0ms

Algorithm

intervals

Results

322.0ms	8701×	body	80	valid
0.0ms	1×	body	1280	valid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Details

sample21.0ms

simplify46.0ms

prune2.0ms

localize8.0ms

rewrite31.0ms

series180.0ms

simplify49.0ms

prune235.0ms

localize12.0ms

rewrite50.0ms

series1.1s

simplify107.0ms

prune429.0ms

localize24.0ms

rewrite42.0ms

series1.0s

simplify113.0ms

prune552.0ms

localize8.0ms

rewrite27.0ms

series173.0ms

simplify40.0ms

prune116.0ms

regimes270.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample574.0ms

Profiling

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5