Details

sample98.0ms

Algorithm

intervals

Results

24.0ms	38×	body	1280	valid
16.0ms	48×	body	640	valid
8.0ms	117×	body	80	valid
8.0ms	37×	body	320	valid
5.0ms	3×	body	2560	valid
4.0ms	91×	body	80	nan
3.0ms	60×	body	80	overflowed
2.0ms	5×	body	1280	nan
2.0ms	13×	body	160	valid
2.0ms	7×	body	640	nan
1.0ms	5×	body	160	nan
0.0ms	3×	body	320	nan

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	147	13
1	147	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: 18.0b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
1.5b	(log (+ 1.0 (- (* y (exp z)) y)))
2.7b	(- (* y (exp z)) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

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)

series58.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5026	1095

prune120.0ms

Filtered

55 candidates to 69 candidates (-25.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Merged error: 6.5b

Counts

70 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ z (/ t z))
4.4b	(* y (/ z t))
4.5b	(* y (/ z (/ t z)))
7.9b	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))

rewrite49.0ms

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:

5.0ms	(/ z (/ t z))
6.0ms	(* y (/ z t))
13.0ms	(* y (/ z (/ t z)))
13.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ z (/ t z))
4.0ms	(* y (/ z t))
8.0ms	(* y (/ z (/ t z)))
21.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))

simplify57.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4982	2144
1	4982	2144

prune272.0ms

Filtered

148 candidates to 196 candidates (-32.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	191	5	196
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	193	9	202

Merged error: 6.5b

Counts

202 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y (+ (* (/ z t) 1.0) (* (* z (/ z t)) 0.5))))
0.1b	(* z (/ z t))
5.0b	(* y (+ (* (/ z t) 1.0) (* (* z (/ z t)) 0.5)))
7.1b	(+ (* (/ z t) 1.0) (* (* z (/ z t)) 0.5))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`associate-r`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`times-frac`
8×	`pow1` `add-log-exp`
6×	`associate-r/` `associate-l*`
4×	`associate-*l/`
3×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `associate--r+`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `diff-log` `div-exp` `sum-log` `flip--` `div-inv`

Counts

4 → 81

Calls

4 calls:

2.0ms	(- x (* y (+ (* (/ z t) 1.0) (* (* z (/ z t)) 0.5))))
6.0ms	(* z (/ z t))
8.0ms	(* y (+ (* (/ z t) 1.0) (* (* z (/ z t)) 0.5)))
6.0ms	(+ (* (/ z t) 1.0) (* (* z (/ z t)) 0.5))

series54.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- x (* y (+ (* (/ z t) 1.0) (* (* z (/ z t)) 0.5))))
3.0ms	(* z (/ z t))
19.0ms	(* y (+ (* (/ z t) 1.0) (* (* z (/ z t)) 0.5)))
6.0ms	(+ (* (/ z t) 1.0) (* (* z (/ z t)) 0.5))

simplify45.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5050	1063

prune128.0ms

Filtered

67 candidates to 93 candidates (-38.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	93	9	102

Merged error: 6.5b

Counts

102 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

2.7b	(- (* y (exp z)) y)
2.9b	(- (* y (exp z)) (+ y 1.0))
5.6b	(log (+ (pow (- (* y (exp z)) y) 3) (pow 1.0 3)))
6.1b	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ y 1.0)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`log-prod`
11×	`add-log-exp`
6×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`unpow-prod-down` `log-div` `cube-prod` `add-cbrt-cube`
3×	`diff-log`
2×	`sub-neg` `flip3--` `flip3-+` `rem-log-exp` `log-pow` `flip--` `flip-+`
1×	`sum-log` `sum-cubes` `associate--r+`

Counts

4 → 60

Calls

4 calls:

5.0ms	(- (* y (exp z)) y)
6.0ms	(- (* y (exp z)) (+ y 1.0))
15.0ms	(log (+ (pow (- (* y (exp z)) y) 3) (pow 1.0 3)))
3.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ y 1.0)))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* y (exp z)) y)
8.0ms	(- (* y (exp z)) (+ y 1.0))
61.0ms	(log (+ (pow (- (* y (exp z)) y) 3) (pow 1.0 3)))
62.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ y 1.0)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4992	1427
1	4992	1427

prune159.0ms

Filtered

55 candidates to 72 candidates (-30.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	71	10	81

Merged error: 6.5b

Counts

81 → 10

regimes571.0ms

Accuracy

60.8% (4.3b remaining)

Error of 8.1b against oracle of 3.8b and baseline of 14.8b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	35
1	30	35

end0.0ms

sample3.0s

Algorithm

intervals

Results

857.0ms	1465×	body	1280	valid
536.0ms	1587×	body	640	valid
252.0ms	3527×	body	80	valid
192.0ms	891×	body	320	valid
115.0ms	2504×	body	80	nan
112.0ms	82×	body	2560	valid
86.0ms	1593×	body	80	overflowed
68.0ms	474×	body	160	valid
65.0ms	273×	body	640	nan
42.0ms	120×	body	1280	nan
30.0ms	182×	body	320	nan
10.0ms	92×	body	160	nan

Details

sample98.0ms

simplify5.0ms

prune9.0ms

localize14.0ms

rewrite20.0ms

series58.0ms

simplify53.0ms

prune120.0ms

localize15.0ms

rewrite49.0ms

series37.0ms

simplify57.0ms

prune272.0ms

localize10.0ms

rewrite25.0ms

series54.0ms

simplify45.0ms

prune128.0ms

localize22.0ms

rewrite31.0ms

series139.0ms

simplify55.0ms

prune159.0ms

regimes571.0ms

bsearch2.0ms

simplify1.0ms

end0.0ms

sample3.0s

Profiling