Details

sample28.0ms

Algorithm

intervals

Results

10.0ms

352×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	45	4
3	84	4
4	125	4
5	149	4
6	170	4
7	284	4
8	491	4
9	824	4
10	1344	4
11	2128	4
12	3385	4
13	5002	4

prune3.0ms

Filtered

1 candidates to 0 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: 5.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
5.4b	(/ (* y (- z x)) t)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

6.0ms	(* y (- z x))
4.0ms	(+ x (/ (* y (- z x)) t))
7.0ms	(/ (* y (- z x)) t)

series33.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(* y (- z x))
11.0ms	(+ x (/ (* y (- z x)) t))
12.0ms	(/ (* y (- z x)) t)

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	290	325
1	1223	280
2	5001	280

prune92.0ms

Filtered

70 candidates to 45 candidates (35.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	60	10	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	10	71

Merged error: 0.0b

Counts

71 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
5.5b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
20.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt t)
23.0ms	(cbrt t)
22.0ms	(cbrt t)
18.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	500	954
1	2500	845
2	5001	783

prune125.0ms

Filtered

116 candidates to 85 candidates (26.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	116	10	126

Merged error: 0.0b

Counts

126 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.5b	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
1.7b	(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-sqr-sqrt`
94×	`times-frac`
85×	`add-exp-log`
77×	`cbrt-prod`
63×	`*-un-lft-identity`
51×	`add-cube-cbrt`
50×	`associate-l`
41×	`add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
35×	`associate-r`
26×	`cbrt-undiv` `div-exp`
15×	`unswap-sqr`
11×	`pow1`
6×	`frac-times` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `*-commutative`

Counts

4 → 189

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
18.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
32.0ms	(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
14.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))
62.0ms	(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))

simplify96.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	908	2304
1	3847	1944
2	5001	1806

prune185.0ms

Filtered

201 candidates to 138 candidates (31.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	200	1	201
Fresh	0	8	8
Picked	1	0	1
Done	1	0	1
Total	202	9	211

Merged error: 0b

Counts

211 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.5b	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (/ (* (cbrt y) (- z x)) (* (cbrt t) (cbrt t))))
2.2b	(/ (* (cbrt y) (- z x)) (* (cbrt t) (cbrt t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-exp-log`
41×	`add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
26×	`cbrt-undiv` `div-exp`
16×	`add-sqr-sqrt`
10×	`cbrt-prod` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-l*`
6×	`pow1`
5×	`associate-r`
4×	`add-log-exp`
3×	`associate-*r/` `div-inv` `unswap-sqr`
2×	`pow1/3` `associate-/l/`
1×	`frac-times` `flip3--` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `-commutative` `flip--` `associate-/l`

Counts

4 → 105

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
18.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (/ (* (cbrt y) (- z x)) (* (cbrt t) (cbrt t))))
10.0ms	(/ (* (cbrt y) (- z x)) (* (cbrt t) (cbrt t)))

series112.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
26.0ms	(cbrt y)
14.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (/ (* (cbrt y) (- z x)) (* (cbrt t) (cbrt t))))
51.0ms	(/ (* (cbrt y) (- z x)) (* (cbrt t) (cbrt t)))

simplify70.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	608	1444
1	2770	1081
2	5001	865

prune85.0ms

Filtered

117 candidates to 71 candidates (39.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	117	9	126

Merged error: 0b

Counts

126 → 9

regimes579.0ms

Accuracy

78.5% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	18
1	39	18
2	40	18
3	40	18

end0.0ms

sample771.0ms

Algorithm

intervals

Results

318.0ms

10681×

body

valid

Details

sample28.0ms

simplify103.0ms

prune3.0ms

localize6.0ms

rewrite18.0ms

series33.0ms

simplify38.0ms

prune92.0ms

localize10.0ms

rewrite27.0ms

series88.0ms

simplify58.0ms

prune125.0ms

localize15.0ms

rewrite62.0ms

series119.0ms

simplify96.0ms

prune185.0ms

localize15.0ms

rewrite34.0ms

series112.0ms

simplify70.0ms

prune85.0ms

regimes579.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample771.0ms

Profiling