Details

sample71.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
17.0ms	256×	body	80	nan

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	50	17
1	108	17
2	389	17
3	1761	17
4	5002	17

prune5.0ms

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: 5.0b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))
0.2b	(/ 2.0 (* t 3.0))
3.3b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.3b	(/ (* z (sqrt (+ t a))) t)

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

5600×	`frac-sub`
4095×	`add-sqr-sqrt`
3202×	`*-un-lft-identity`
2445×	`associate-/l*`
2274×	`add-cube-cbrt`
2234×	`associate-r`
2168×	`associate-/r*`
1900×	`frac-times`
1526×	`times-frac`
1468×	`flip3-+` `flip-+`
1365×	`prod-diff`
1355×	`associate-l`
1184×	`associate-*r/`
1051×	`flip3--` `flip--`
902×	`sqrt-prod`
656×	`unswap-sqr`
413×	`*-commutative`
328×	`associate--r+`
323×	`distribute-lft-out`
269×	`frac-2neg` `clear-num`
234×	`sqrt-div` `associate-/l/`
228×	`difference-of-squares`
169×	`distribute-lft-out--`
164×	`distribute-rgt-in` `distribute-lft-in`
55×	`fma-neg`
50×	`associate-*l/`
31×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `associate--l+` `log1p-expm1-u`
3×	`sub-neg`
2×	`+-commutative` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`diff-log`

Counts

4 → 4548

Calls

4 calls:

859.0ms	(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))
7.0ms	(/ 2.0 (* t 3.0))
270.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
12.0ms	(/ (* z (sqrt (+ t a))) t)

series572.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))
16.0ms	(/ 2.0 (* t 3.0))
173.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
83.0ms	(/ (* z (sqrt (+ t a))) t)

simplify2.2s

Algorithm

egg-herbie

Counts

4560 → 4560

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	9358	222820

prune29.4s

Filtered

4560 candidates to 3186 candidates (69.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4557	3	4560
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	4558	3	4561

Merged error: 0.7b

Counts

4561 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (+ x (* y (exp (* 2.0 (fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))))))
0.2b	(/ 2.0 (* t 3.0))
0.3b	(/ (sqrt (+ t a)) t)
2.5b	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
72×	`times-frac`
63×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
20×	`associate-/r*`
16×	`associate-l` `sqrt-prod`
13×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
12×	`associate-r` `distribute-lft-out`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`flip3-+` `sqrt-div` `associate-/r/` `flip-+` `associate-/l/`
1×	`prod-exp` `cbrt-unprod` `fma-udef`

Counts

4 → 163

Calls

4 calls:

10.0ms	(/ x (+ x (* y (exp (* 2.0 (fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))))))
7.0ms	(/ 2.0 (* t 3.0))
6.0ms	(/ (sqrt (+ t a)) t)
1.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series609.0ms

Counts

4 → 12

Calls

4 calls:

313.0ms	(/ x (+ x (* y (exp (* 2.0 (fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))))))
22.0ms	(/ 2.0 (* t 3.0))
58.0ms	(/ (sqrt (+ t a)) t)
216.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify74.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	654	1875
1	2494	1731
2	5001	1700

prune858.0ms

Filtered

175 candidates to 125 candidates (71.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	175	3	178

Merged error: 0.5b

Counts

178 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.8333333333333334 c) (* a b))
0.0b	(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
0.2b	(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
0.8b	(fma c a (- (* 0.8333333333333334 c) (* a b)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

156×	`add-sqr-sqrt`
144×	`prod-diff`
116×	`*-un-lft-identity`
92×	`add-cube-cbrt`
86×	`associate-l`
78×	`associate-r`
30×	`unswap-sqr`
26×	`*-commutative`
15×	`times-frac`
12×	`exp-prod` `fma-neg`
8×	`distribute-lft-out` `add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-udef` `associate-/l*`
2×	`exp-sum` `associate-/r/`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `exp-to-pow` `frac-2neg` `distribute-lft-in` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `rem-exp-log`

Counts

4 → 252

Calls

4 calls:

17.0ms	(- (* 0.8333333333333334 c) (* a b))
4.0ms	(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
10.0ms	(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
1.0ms	(fma c a (- (* 0.8333333333333334 c) (* a b)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* 0.8333333333333334 c) (* a b))
39.0ms	(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
105.0ms	(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
40.0ms	(fma c a (- (* 0.8333333333333334 c) (* a b)))

simplify98.0ms

Algorithm

egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	755	3277
1	2282	2362
2	5002	2208

prune449.0ms

Filtered

264 candidates to 97 candidates (36.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	264	3	267

Merged error: 0.5b

Counts

267 → 3

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0.5b

Counts

3 → 3

regimes202.0ms

Accuracy

0% (1.6b remaining)

Error of 2.3b against oracle of 0.7b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	18
1	45	18
2	45	18

end0.0ms

sample1.8s

Algorithm

intervals

Results

564.0ms	8000×	body	80	valid
556.0ms	8211×	body	80	nan