Details

analyze981.0ms

Algorithm: search

sample29.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
5.0ms	101×	body	80	invalid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

prune4.0ms

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: 4.2b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(* (* z 3.0) y)
0.3b	(/ y (* z 3.0))
7.7b	(/ t (* (* z 3.0) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down`
2×	`associate-+l+` `frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

9.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
4.0ms	(* (* z 3.0) y)
4.0ms	(/ y (* z 3.0))
5.0ms	(/ t (* (* z 3.0) y))

series32.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
3.0ms	(* (* z 3.0) y)
6.0ms	(/ y (* z 3.0))
6.0ms	(/ t (* (* z 3.0) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	405	532
1	2039	469
2	5001	469

prune147.0ms

Filtered

62 candidates to 93 candidates (-50.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	11	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Merged error: 0.0b

Counts

94 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
3.1b	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
32×	`add-cbrt-cube`
29×	`add-sqr-sqrt`
22×	`associate-r`
21×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
19×	`cbrt-prod`
18×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3` `unswap-sqr`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
14.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series76.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
21.0ms	(cbrt t)
24.0ms	(cbrt t)
9.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify75.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	519	882
1	2979	728
2	5001	657

prune145.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	107	11	118

Merged error: 0.0b

Counts

118 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (* (cbrt (/ (cbrt t) y)) (cbrt (/ (cbrt t) y))))
3.2b	(cbrt (/ (cbrt t) y))
3.2b	(cbrt (/ (cbrt t) y))
3.2b	(cbrt (/ (cbrt t) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
55×	`times-frac`
45×	`add-exp-log` `add-sqr-sqrt`
44×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-cbrt-cube`
23×	`prod-exp` `cbrt-unprod`
11×	`cbrt-div`
9×	`pow1`
8×	`cbrt-undiv` `div-exp`
5×	`frac-times` `associate-r/` `associate-l*`
4×	`div-inv` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

17.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (* (cbrt (/ (cbrt t) y)) (cbrt (/ (cbrt t) y))))
5.0ms	(cbrt (/ (cbrt t) y))
3.0ms	(cbrt (/ (cbrt t) y))
3.0ms	(cbrt (/ (cbrt t) y))

series149.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (* (cbrt (/ (cbrt t) y)) (cbrt (/ (cbrt t) y))))
31.0ms	(cbrt (/ (cbrt t) y))
34.0ms	(cbrt (/ (cbrt t) y))
31.0ms	(cbrt (/ (cbrt t) y))

simplify77.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	634	1646
1	2594	1421
2	5001	1387

prune207.0ms

Filtered

114 candidates to 149 candidates (-30.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	149	11	160

Merged error: 0.0b

Counts

160 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t y) (* z 3.0)))
0.3b	(/ y (* z 3.0))
3.6b	(/ (/ t y) (* z 3.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

34×	`times-frac`
24×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/l*`
8×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`div-inv`
3×	`pow1` `prod-exp` `cbrt-unprod`
2×	`associate-+l+` `frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

3 → 86

Calls

3 calls:

13.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t y) (* z 3.0)))
4.0ms	(/ y (* z 3.0))
6.0ms	(/ (/ t y) (* z 3.0))

series25.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t y) (* z 3.0)))
3.0ms	(/ y (* z 3.0))
6.0ms	(/ (/ t y) (* z 3.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	478	593
1	1777	535
2	5002	530

prune92.0ms

Filtered

67 candidates to 95 candidates (-41.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	96	10	106

Merged error: 0b

Counts

106 → 10

regimes578.0ms

Accuracy

63.4% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.7b

bsearch1.4s

Steps

Iters	Range		Point
8	6.88291197936544e-78	1.6356225908156506e-73	3.4334795866523095e-75
8	-9.324319354701323e+76	-1.857444043785163e+74	-2.2090085955504648e+76

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	14
1	33	14

end0.0ms

analyze781.0ms

Algorithm: search

sample772.0ms

Algorithm

intervals

Results

362.0ms	8000×	body	80	valid
137.0ms	3154×	body	80	invalid

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Details

analyze981.0ms

sample29.0ms

simplify36.0ms

prune4.0ms

localize9.0ms

rewrite25.0ms

series32.0ms

simplify52.0ms

prune147.0ms

localize13.0ms

rewrite20.0ms

series76.0ms

simplify75.0ms

prune145.0ms

localize18.0ms

rewrite33.0ms

series149.0ms

simplify77.0ms

prune207.0ms

localize9.0ms

rewrite25.0ms

series25.0ms

simplify48.0ms

prune92.0ms

regimes578.0ms

bsearch1.4s

simplify2.0ms

end0.0ms

analyze781.0ms

sample772.0ms

Profiling

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7