Details

analyze850.0ms

Algorithm: search

sample27.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	87×	body	80	invalid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	69	4
3	148	4
4	238	4
5	364	4
6	518	4
7	638	4
8	740	4
9	813	4
10	842	4
11	842	4

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: 5.5b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
5.5b	(/ (* y (- z t)) a)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-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×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

4.0ms	(- x (/ (* y (- z t)) a))
10.0ms	(* y (- z t))
6.0ms	(/ (* y (- z t)) a)

series34.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- x (/ (* y (- z t)) a))
7.0ms	(* y (- z t))
12.0ms	(/ (* y (- z t)) a)

simplify36.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	291	345
1	1204	306
2	5001	306

prune99.0ms

Filtered

47 candidates to 72 candidates (-53.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	64	8	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
2.9b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite26.0ms

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

series84.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt a)
21.0ms	(cbrt a)
22.0ms	(cbrt a)
20.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify57.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (47.0ms)

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

prune129.0ms

Filtered

85 candidates to 116 candidates (-36.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	115	9	124

Merged error: 0.0b

Counts

124 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.6b	(cbrt (cbrt a))
4.1b	(* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

130×	`add-sqr-sqrt`
124×	`times-frac`
90×	`cbrt-prod`
67×	`*-un-lft-identity`
49×	`add-cube-cbrt` `associate-r`
36×	`add-exp-log`
32×	`associate-l`
22×	`add-cbrt-cube`
20×	`unswap-sqr`
14×	`cbrt-undiv` `div-exp`
10×	`prod-exp` `cbrt-unprod`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `div-inv`
4×	`add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 165

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
2.0ms	(cbrt (cbrt a))
40.0ms	(* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a))))

series93.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt a)
24.0ms	(cbrt a)
29.0ms	(cbrt (cbrt a))
19.0ms	(* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a))))

simplify90.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	927	2586
1	4176	2413
2	5001	2384

prune203.0ms

Filtered

141 candidates to 177 candidates (-25.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	176	10	186

Merged error: 0b

Counts

186 → 10

localize32.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a))))
6.0b	(cbrt (* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a)))))
6.0b	(cbrt (* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a)))))
6.0b	(cbrt (* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a)))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
124×	`times-frac`
78×	`cbrt-prod`
63×	`*-un-lft-identity`
49×	`associate-r`
45×	`add-cube-cbrt`
36×	`add-exp-log`
32×	`associate-l`
22×	`add-cbrt-cube`
20×	`unswap-sqr`
14×	`cbrt-undiv` `div-exp`
10×	`prod-exp` `cbrt-unprod`
9×	`cbrt-div` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `div-inv`
4×	`frac-times` `associate-r/` `associate-l/` `add-log-exp`
3×	`pow1/3`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 165

Calls

4 calls:

36.0ms	(* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a))))
16.0ms	(cbrt (* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a)))))
15.0ms	(cbrt (* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a)))))
15.0ms	(cbrt (* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a)))))

series124.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a))))
35.0ms	(cbrt (* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a)))))
32.0ms	(cbrt (* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a)))))
37.0ms	(cbrt (* (/ (/ y (* (cbrt a) (cbrt a))) (cbrt (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt (cbrt a)))))

simplify98.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	940	3157
1	4308	2905
2	5001	2891

prune214.0ms

Filtered

146 candidates to 177 candidates (-21.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	177	10	187

Merged error: 0b

Counts

187 → 10

regimes1.0s

Accuracy

69.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.3b

bsearch1.8s

Steps

Iters	Range		Point
8	1.7313318074958344e-62	1.1225200987645629e-57	6.650508751649707e-58
9	-6.395610455609899e-100	-7.202977986279675e-109	-6.262973777203392e-100

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	9
1	27	9

end0.0ms

analyze845.0ms

Algorithm: search

sample701.0ms

Algorithm

intervals

Results

285.0ms	8000×	body	80	valid
87.0ms	2551×	body	80	invalid

Details

analyze850.0ms

sample27.0ms

simplify39.0ms

prune4.0ms

localize7.0ms

rewrite22.0ms

series34.0ms

simplify36.0ms

prune99.0ms

localize12.0ms

rewrite26.0ms

series84.0ms

simplify57.0ms

prune129.0ms

localize15.0ms

rewrite53.0ms

series93.0ms

simplify90.0ms

prune203.0ms

localize32.0ms

rewrite91.0ms

series124.0ms

simplify98.0ms

prune214.0ms

regimes1.0s

bsearch1.8s

simplify2.0ms

end0.0ms

analyze845.0ms

sample701.0ms

Profiling