Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

263×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	51	8
3	61	8
4	65	8
5	65	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 14.3b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.4b	(/ (* y b) t)
5.0b	(/ (* y z) t)
10.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
26×	`times-frac`
25×	`distribute-lft-out`
20×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `expm1-log1p-u` `fma-def` `frac-add` `associate-/r/` `log1p-expm1-u`
3×	`frac-2neg` `clear-num` `sum-log` `div-inv`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 118

Calls

4 calls:

7.0ms	(+ (+ a 1.0) (/ (* y b) t))
4.0ms	(/ (* y b) t)
5.0ms	(/ (* y z) t)
13.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series153.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (+ a 1.0) (/ (* y b) t))
18.0ms	(/ (* y b) t)
17.0ms	(/ (* y z) t)
90.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	488	947
1	2162	873
2	5003	850

prune314.0ms

Filtered

130 candidates to 90 candidates (69.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	119	11	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	11	131

Merged error: 10.3b

Counts

131 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
4.4b	(* (* y b) (/ 1 t))
5.0b	(/ (* y z) t)
10.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log` `*-un-lft-identity`
24×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
13×	`associate-r` `prod-exp`
9×	`pow1` `add-log-exp`
8×	`frac-add`
7×	`flip3-+` `div-exp` `cbrt-unprod` `flip-+`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `associate-r/` `un-div-inv` `distribute-lft-out` `associate-/l`
4×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
3×	`pow-prod-down` `sum-log` `div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-+l+` `associate-l` `*-commutative`

Counts

4 → 127

Calls

4 calls:

7.0ms	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
8.0ms	(* (* y b) (/ 1 t))
5.0ms	(/ (* y z) t)
11.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

series162.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (+ a 1.0) (* (* y b) (/ 1 t)))
23.0ms	(* (* y b) (/ 1 t))
17.0ms	(/ (* y z) t)
94.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

simplify79.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	645	1063
1	3134	935
2	5001	896

prune293.0ms

Filtered

139 candidates to 92 candidates (66.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	139	11	150

Merged error: 10.3b

Counts

150 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
1.8b	(fma (/ y t) b 1.0)
5.0b	(/ (* y z) t)
10.5b	(/ (+ x (/ (* y z) t)) (+ a (fma (/ y t) b 1.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
19×	`times-frac`
17×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
7×	`associate-/r*`
6×	`add-log-exp`
5×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-def` `flip3-+` `div-exp` `flip-+`
2×	`frac-2neg` `clear-num` `associate-/r/` `div-inv` `associate-/l/`
1×	`+-commutative` `prod-exp` `sum-log` `cbrt-unprod` `fma-udef`

Counts

4 → 92

Calls

4 calls:

4.0ms	(+ x (/ (* y z) t))
1.0ms	(fma (/ y t) b 1.0)
8.0ms	(/ (* y z) t)
9.0ms	(/ (+ x (/ (* y z) t)) (+ a (fma (/ y t) b 1.0)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ x (/ (* y z) t))
20.0ms	(fma (/ y t) b 1.0)
16.0ms	(/ (* y z) t)
92.0ms	(/ (+ x (/ (* y z) t)) (+ a (fma (/ y t) b 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	343	697
1	1371	649
2	5002	637

prune339.0ms

Filtered

104 candidates to 74 candidates (71.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	104	11	115

Merged error: 9.6b

Counts

115 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
1.8b	(fma (/ y t) b 1.0)
3.8b	(* y (/ z t))
10.5b	(/ (+ x (* y (/ z t))) (+ a (fma (/ y t) b 1.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-def` `flip3-+` `associate-l` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `fma-udef`

Counts

4 → 97

Calls

4 calls:

3.0ms	(+ x (* y (/ z t)))
1.0ms	(fma (/ y t) b 1.0)
6.0ms	(* y (/ z t))
7.0ms	(/ (+ x (* y (/ z t))) (+ a (fma (/ y t) b 1.0)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ x (* y (/ z t)))
20.0ms	(fma (/ y t) b 1.0)
20.0ms	(* y (/ z t))
91.0ms	(/ (+ x (* y (/ z t))) (+ a (fma (/ y t) b 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	396	690
1	1602	624
2	5001	619

prune243.0ms

Filtered

109 candidates to 80 candidates (73.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	109	11	120

Merged error: 9.6b

Counts

120 → 11

regimes382.0ms

Accuracy

62% (2.1b remaining)

Error of 12.8b against oracle of 10.7b and baseline of 16.2b

bsearch73.0ms

Steps

Iters	Range		Point
5	3.278345425089741e+27	1.0028925967356206e+28	7.222674056391265e+27
6	-7.319229531657907e+51	-1.1428045533580199e+51	-1.4106828041523268e+51

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	28
1	50	28

end0.0ms

sample767.0ms

Algorithm

intervals

Results

466.0ms

8266×

body

valid