Details

sample69.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
17.0ms	254×	body	80	nan

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
3.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.5b	(/ (* z (sqrt (+ t a))) t)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
63×	`prod-diff`
62×	`associate--r+`
49×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
36×	`times-frac`
31×	`distribute-rgt-in` `distribute-lft-in`
20×	`frac-sub`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out`
12×	`div-inv`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`fma-neg` `associate-r`
6×	`pow1` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `expm1-log1p-u` `sqrt-div` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l`
3×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `associate-*l/` `associate--l+` `clear-num` `associate-/l/` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 179

Calls

4 calls:

11.0ms	(* z (sqrt (+ t a)))
3.0ms	(/ 2.0 (* t 3.0))
41.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms	(/ (* z (sqrt (+ t a))) t)

series340.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* z (sqrt (+ t a)))
15.0ms	(/ 2.0 (* t 3.0))
178.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
81.0ms	(/ (* z (sqrt (+ t a))) t)

simplify53.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1377	2637
1	5001	2324

prune919.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.2b	(/ (sqrt (+ t a)) t)
0.3b	(/ 2.0 (* t 3.0))
3.2b	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
56×	`prod-diff`
54×	`add-cube-cbrt`
48×	`times-frac`
31×	`distribute-rgt-in` `distribute-lft-in`
19×	`distribute-lft-out`
16×	`sqrt-prod`
13×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv` `associate-/l*`
8×	`frac-times` `flip3--` `flip--`
6×	`pow1` `associate-r` `frac-sub`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `associate-r/` `associate-/r` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
2×	`sub-neg` `frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `associate-/l/` `difference-of-squares`
1×	`pow-prod-down` `*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 181

Calls

4 calls:

138.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
8.0ms	(/ (sqrt (+ t a)) t)
3.0ms	(/ 2.0 (* t 3.0))
0.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
58.0ms	(/ (sqrt (+ t a)) t)
16.0ms	(/ 2.0 (* t 3.0))
215.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify107.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	894	2691
1	4023	2163
2	5002	2158

prune744.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.7b	(log1p (expm1 (/ 2.0 (* t 3.0))))
3.5b	(/ (* z (sqrt (+ t a))) t)
4.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log1p (expm1 (/ 2.0 (* t 3.0)))))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
31×	`prod-diff`
30×	`associate--r+`
26×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-exp-log` `add-cbrt-cube`
12×	`times-frac`
8×	`frac-sub`
7×	`flip3--` `fma-neg` `flip--`
6×	`distribute-lft-out` `add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-times` `associate-r/` `div-exp` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l*`
3×	`sub-neg`
2×	`frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`log1p-udef` `flip3-+` `diff-log` `log1p-expm1` `flip-+`

Counts

4 → 125

Calls

4 calls:

3.0ms	(/ 2.0 (* t 3.0))
0.0ms	(log1p (expm1 (/ 2.0 (* t 3.0))))
6.0ms	(/ (* z (sqrt (+ t a))) t)
35.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log1p (expm1 (/ 2.0 (* t 3.0)))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ 2.0 (* t 3.0))
701.0ms	(log1p (expm1 (/ 2.0 (* t 3.0))))
79.0ms	(/ (* z (sqrt (+ t a))) t)
271.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log1p (expm1 (/ 2.0 (* t 3.0)))))))

simplify109.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	956	1905
1	4496	1574
2	5001	1521

prune700.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.3b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.4b	(fma (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))) (- (- b c)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
58×	`times-frac`
47×	`*-un-lft-identity`
46×	`associate-r`
35×	`add-cube-cbrt`
31×	`cbrt-prod`
28×	`sqrt-prod`
25×	`add-exp-log`
18×	`add-cbrt-cube`
10×	`unswap-sqr`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `fma-udef`

Counts

4 → 125

Calls

4 calls:

0.0ms	(cbrt t)
1.0ms	(cbrt t)
41.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.0ms	(fma (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))) (- (- b c)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

series660.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt t)
181.0ms	(cbrt t)
105.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
196.0ms	(fma (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))) (- (- b c)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

simplify83.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	694	1460
1	3391	1214
2	5002	1146

prune749.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes208.0ms

Accuracy

0% (1.0b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	33
1	44	33

end0.0ms

sample1.7s

Algorithm

intervals

Results

570.0ms	8000×	body	80	valid
529.0ms	8148×	body	80	nan