Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

264×

body

valid

simplify17.0ms

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: 16.2b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
5.3b	(/ (* y b) t)
6.7b	(/ (* y z) t)
10.6b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

5.0ms	(+ x (/ (* y z) t))
5.0ms	(/ (* y b) t)
5.0ms	(/ (* y z) t)
15.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ x (/ (* y z) t))
21.0ms	(/ (* y b) t)
24.0ms	(/ (* y z) t)
127.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify67.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	472	881
1	2005	817
2	5001	797

prune386.0ms

Filtered

124 candidates to 86 candidates (69.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	115	9	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	9	125

Merged error: 11.5b

Counts

125 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
4.2b	(* y (/ z t))
5.3b	(/ (* y b) t)
10.6b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

4.0ms	(+ x (* y (/ z t)))
7.0ms	(* y (/ z t))
5.0ms	(/ (* y b) t)
12.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ x (* y (/ z t)))
19.0ms	(* y (/ z t))
26.0ms	(/ (* y b) t)
109.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify74.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	535	858
1	2301	772
2	5001	762

prune374.0ms

Filtered

128 candidates to 90 candidates (70.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	127	10	137

Merged error: 10.0b

Counts

137 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ z t)))
4.2b	(* y (/ z t))
4.7b	(* y (/ b t))
10.6b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* y (/ b t))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
26×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `flip3-+` `associate-*r/` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `log1p-expm1-u` `unswap-sqr`
3×	`cbrt-undiv` `fma-def` `div-exp` `associate-/r` `div-inv` `associate-/l`
2×	`pow-prod-down` `frac-add` `*-commutative` `associate-/l/`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 119

Calls

4 calls:

3.0ms	(+ x (* y (/ z t)))
7.0ms	(* y (/ z t))
7.0ms	(* y (/ b t))
10.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* y (/ b t))))

series185.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ x (* y (/ z t)))
19.0ms	(* y (/ z t))
21.0ms	(* y (/ b t))
111.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* y (/ b t))))

simplify76.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	571	822
1	2412	735
2	5002	725

prune413.0ms

Filtered

131 candidates to 99 candidates (75.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	131	10	141

Merged error: 10.0b

Counts

141 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (+ (+ a 1.0) (* y (/ b t))))
4.2b	(* y (/ z t))
4.7b	(* y (/ b t))
10.7b	(* (+ x (* y (/ z t))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
43×	`associate-r`
40×	`times-frac`
37×	`*-un-lft-identity`
36×	`add-cube-cbrt`
27×	`add-exp-log`
21×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
8×	`prod-exp` `associate-/r/`
7×	`associate-*r/` `unswap-sqr`
6×	`flip3-+` `div-exp` `cbrt-unprod` `flip-+`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-add` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`frac-times` `rec-exp` `1-exp` `associate-*l/`
1×	`pow-flip` `frac-2neg` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 151

Calls

4 calls:

7.0ms	(/ 1 (+ (+ a 1.0) (* y (/ b t))))
7.0ms	(* y (/ z t))
7.0ms	(* y (/ b t))
15.0ms	(* (+ x (* y (/ z t))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

series210.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ 1 (+ (+ a 1.0) (* y (/ b t))))
23.0ms	(* y (/ z t))
20.0ms	(* y (/ b t))
110.0ms	(* (+ x (* y (/ z t))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

simplify96.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	692	1147
1	3314	971
2	5001	934

prune438.0ms

Filtered

163 candidates to 113 candidates (69.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	163	10	173

Merged error: 10.0b

Counts

173 → 10

regimes405.0ms

Accuracy

67.9% (1.9b remaining)

Error of 12.6b against oracle of 10.7b and baseline of 16.5b

bsearch137.0ms

Steps

Iters	Range		Point
8	866212454015819.8	1.7090275017158058e+19	944905759679005.8
8	-8486977129831877.0	-20812249791647.117	-1139782057002262.2

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	18
1	46	18

end0.0ms

sample921.0ms

Algorithm

intervals

Results

639.0ms

8277×

body

valid