Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

sample93.0ms

Algorithm

intervals

Results

23.0ms	40×	body	1280	valid
20.0ms	48×	body	640	valid
9.0ms	6×	body	2560	valid
9.0ms	120×	body	80	valid
6.0ms	30×	body	320	valid
2.0ms	49×	body	80	nan
2.0ms	9×	body	640	nan
2.0ms	5×	body	1280	nan
2.0ms	12×	body	160	valid
2.0ms	31×	body	80	overflowed
1.0ms	8×	body	320	nan
0.0ms	1×	body	160	nan
0.0ms	2×	body	80	invalid

simplify225.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (224.0ms)

Iter	Nodes	Cost
0	3730	13
1	3730	13

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 14.2b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
1.2b	(log (+ 1.0 (- (* y (exp z)) y)))
2.9b	(- (* y (exp z)) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`log-pow`
4×	`log-div` `log-prod` `associate-/l*`
3×	`associate-r` `associate-l` `associate-/r*`
2×	`flip3-+` `div-sub` `flip-+`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

5.0ms	(* y (exp z))
8.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
6.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
5.0ms	(- (* y (exp z)) y)

series66.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
38.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
15.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
7.0ms	(- (* y (exp z)) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5135	1208

prune164.0ms

Filtered

69 candidates to 89 candidates (-29.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	8	90

Merged error: 2.2b

Counts

90 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t))
1.2b	(log (+ 1.0 (- (* y (exp z)) y)))
2.9b	(- (* y (exp z)) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
16×	`associate-r`
15×	`add-exp-log` `add-cube-cbrt`
11×	`times-frac` `add-cbrt-cube`
10×	`pow1`
7×	`associate-l`
6×	`add-log-exp`
5×	`prod-exp`
4×	`log-prod` `unswap-sqr`
3×	`cbrt-unprod`
2×	`log-div` `div-exp` `pow-prod-down` `log-pow` `*-commutative`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `flip3--` `flip3-+` `diff-log` `1-exp` `associate-*r/` `rem-log-exp` `un-div-inv` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 81

Calls

4 calls:

7.0ms	(* y (exp z))
7.0ms	(* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t))
6.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
5.0ms	(- (* y (exp z)) y)

series63.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
38.0ms	(* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t))
13.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
7.0ms	(- (* y (exp z)) y)

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5200	1128

prune150.0ms

Filtered

68 candidates to 93 candidates (-36.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	91	10	101

Merged error: 2.2b

Counts

101 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.9b	(log (+ 1.0 (- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)))
26.6b	(- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`add-sqr-sqrt`
6×	`cbrt-prod` `add-log-exp`
5×	`pow1` `add-exp-log`
4×	`log-prod` `add-cbrt-cube`
2×	`log-div` `pow1/3`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `rem-log-exp` `log-pow` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(log (+ 1.0 (- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)))
11.0ms	(- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)

series70.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
16.0ms	(log (+ 1.0 (- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)))
10.0ms	(- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4934	527
1	4934	527

prune104.0ms

Filtered

46 candidates to 61 candidates (-32.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	61	10	71

Merged error: 2.2b

Counts

71 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ z (/ t z))
3.7b	(* y (/ z t))
4.0b	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
5.5b	(* y (/ z (/ t z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

154×	`times-frac`
104×	`add-sqr-sqrt`
90×	`add-cube-cbrt` `*-un-lft-identity`
57×	`associate-r`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/r*`
10×	`associate-*r/` `div-inv`
9×	`add-log-exp`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`frac-add`
3×	`sum-log` `associate-/l*`
2×	`flip3-+` `pow-prod-down` `associate-/r/` `*-commutative` `flip-+`
1×	`+-commutative` `associate-+r+` `frac-2neg` `clear-num`

Counts

4 → 184

Calls

4 calls:

6.0ms	(/ z (/ t z))
6.0ms	(* y (/ z t))
14.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
16.0ms	(* y (/ z (/ t z)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ z (/ t z))
5.0ms	(* y (/ z t))
21.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
8.0ms	(* y (/ z (/ t z)))

simplify68.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4964	2144
1	4964	2144

prune240.0ms

Filtered

148 candidates to 196 candidates (-32.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	192	4	196
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	194	12	206

Merged error: 2.2b

Counts

206 → 12

regimes578.0ms

Accuracy

62% (4.0b remaining)

Error of 7.8b against oracle of 3.7b and baseline of 14.3b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	255	44
1	255	44

end0.0ms

sample2.6s

Algorithm

intervals

Results

834.0ms	1432×	body	1280	valid
516.0ms	1567×	body	640	valid
254.0ms	3537×	body	80	valid
194.0ms	861×	body	320	valid
121.0ms	90×	body	2560	valid
72.0ms	1519×	body	80	nan
68.0ms	513×	body	160	valid
63.0ms	264×	body	640	nan
51.0ms	895×	body	80	overflowed
35.0ms	104×	body	1280	nan
32.0ms	184×	body	320	nan
9.0ms	90×	body	160	nan
1.0ms	11×	body	80	invalid
0.0ms	1×	body	1280	invalid
0.0ms	1×	body	640	invalid

Details

analyze1.1s

sample93.0ms

simplify225.0ms

prune9.0ms

localize10.0ms

rewrite26.0ms

series66.0ms

simplify54.0ms

prune164.0ms

localize11.0ms

rewrite27.0ms

series63.0ms

simplify56.0ms

prune150.0ms

localize14.0ms

rewrite27.0ms

series70.0ms

simplify50.0ms

prune104.0ms

localize15.0ms

rewrite50.0ms

series41.0ms

simplify68.0ms

prune240.0ms

regimes578.0ms

bsearch2.0ms

simplify3.0ms

end0.0ms

sample2.6s

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