Details

analyze1.2s

Algorithm: search

sample84.0ms

Algorithm

intervals

Results

23.0ms	39×	body	1280	valid
17.0ms	51×	body	640	valid
8.0ms	120×	body	80	valid
7.0ms	31×	body	320	valid
3.0ms	2×	body	2560	valid
3.0ms	56×	body	80	nan
2.0ms	8×	body	640	nan
2.0ms	13×	body	160	valid
1.0ms	26×	body	80	overflowed
1.0ms	3×	body	1280	nan
1.0ms	6×	body	320	nan
0.0ms	3×	body	160	nan

simplify218.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	628	7
9	935	7
10	1028	7
11	1354	7
12	3968	7
13	5002	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: 23.2b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.0b	(log (+ (- 1.0 y) (* y (exp z))))
3.0b	(+ (- 1.0 y) (* y (exp z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

5.0ms	(* y (exp z))
10.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
5.0ms	(log (+ (- 1.0 y) (* y (exp z))))
6.0ms	(+ (- 1.0 y) (* y (exp z)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
40.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
14.0ms	(log (+ (- 1.0 y) (* y (exp z))))
7.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5002	726

prune158.0ms

Filtered

68 candidates to 92 candidates (-35.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 4.1b

Counts

93 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.2b	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
12.8b	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
8.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

series74.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt y)
22.0ms	(cbrt y)
17.0ms	(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
11.0ms	(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

simplify37.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	301	626
1	1026	546
2	5001	493

prune99.0ms

Filtered

48 candidates to 63 candidates (-31.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	63	6	69

Merged error: 4.1b

Counts

69 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
0.0b	(* 0.5 (pow z 2))
2.4b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.4b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`add-exp-log`
11×	`associate-r`
10×	`times-frac` `add-cbrt-cube`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unpow2` `difference-of-squares` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 93

Calls

4 calls:

8.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
5.0ms	(* 0.5 (pow z 2))
6.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series75.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
3.0ms	(* 0.5 (pow z 2))
14.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
22.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify59.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	460	952
1	1914	882
2	5001	882

prune224.0ms

Filtered

73 candidates to 105 candidates (-43.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	99	12	111

Merged error: 4.0b

Counts

111 → 12

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.7b	(/ (* z y) t)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

10.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.0ms	(/ (* z y) t)

series22.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
5.0ms	(/ (* z y) t)

simplify80.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	204	286
1	812	256
2	3760	256
3	5001	256

prune60.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	35	8	43
Fresh	5	5	10
Picked	1	0	1
Done	0	1	1
Total	41	14	55

Merged error: 4.0b

Counts

55 → 14

regimes955.0ms

Accuracy

62.1% (5.1b remaining)

Error of 8.9b against oracle of 3.8b and baseline of 17.3b

bsearch2.5s

Steps

Iters	Range		Point
8	-7.209389838383232e-176	-1.1681841944177717e-179	-6.742007362467265e-176
9	-1210650.7959246219	-0.09719819024291125	-0.09863858303626596

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	28
1	53	28

end0.0ms

analyze1.2s

Algorithm: search

sample2.6s

Algorithm

intervals

Results

871.0ms	1473×	body	1280	valid
539.0ms	1565×	body	640	valid
260.0ms	3503×	body	80	valid
199.0ms	887×	body	320	valid
110.0ms	80×	body	2560	valid
74.0ms	1533×	body	80	nan
67.0ms	492×	body	160	valid
59.0ms	240×	body	640	nan
44.0ms	813×	body	80	overflowed
37.0ms	106×	body	1280	nan
36.0ms	205×	body	320	nan
12.0ms	109×	body	160	nan
1.0ms	20×	body	80	invalid
0.0ms	1×	body	320	invalid

Details

analyze1.2s

sample84.0ms

simplify218.0ms

prune4.0ms

localize10.0ms

rewrite29.0ms

series66.0ms

simplify51.0ms

prune158.0ms

localize17.0ms

rewrite18.0ms

series74.0ms

simplify37.0ms

prune99.0ms

localize15.0ms

rewrite28.0ms

series75.0ms

simplify59.0ms

prune224.0ms

localize9.0ms

rewrite16.0ms

series22.0ms

simplify80.0ms

prune60.0ms

regimes955.0ms

bsearch2.5s

simplify2.0ms

end0.0ms

analyze1.2s

sample2.6s

Profiling