Details

sample69.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
16.0ms	247×	body	80	nan

simplify40.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.5b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.7b	(/ (* z (sqrt (+ t a))) t)

rewrite73.0ms

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:

12.0ms	(* z (sqrt (+ t a)))
3.0ms	(/ 2.0 (* t 3.0))
42.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms	(/ (* z (sqrt (+ t a))) t)

series336.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* z (sqrt (+ t a)))
16.0ms	(/ 2.0 (* t 3.0))
177.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
80.0ms	(/ (* z (sqrt (+ t a))) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1377	2637
1	5001	2324

prune891.0ms

Filtered

191 candidates to 137 candidates (71.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
27×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
13×	`associate-/l*`
5×	`cbrt-undiv` `div-exp` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`sqrt-div` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`flip3-+` `flip-+` `fma-udef`

Counts

4 → 103

Calls

4 calls:

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

series303.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (sqrt (+ t a)) t)
16.0ms	(/ 2.0 (* t 3.0))
15.0ms	(/ 2.0 (* t 3.0))
210.0ms	(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify37.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	378	688
1	1172	613
2	5001	603

prune603.0ms

Filtered

115 candidates to 83 candidates (72.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (/ 2.0 (* t 3.0)) 3)
2.5b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
5.7b	(/ (* z (sqrt (+ t a))) t)
37.3b	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

206×	`*-un-lft-identity`
191×	`prod-diff`
190×	`associate--r+`
180×	`cbrt-prod`
114×	`add-sqr-sqrt` `add-cube-cbrt`
95×	`distribute-rgt-in` `distribute-lft-in`
70×	`unpow-prod-down` `cube-prod`
69×	`times-frac`
46×	`distribute-lft-out`
23×	`div-inv`
20×	`frac-sub`
15×	`add-exp-log` `add-cbrt-cube`
10×	`cube-mult` `unpow3` `sqr-pow`
9×	`flip3--` `flip--`
8×	`cube-div` `frac-times`
7×	`cbrt-div` `fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `flip-+` `log1p-expm1-u`
3×	`sub-neg` `pow-unpow` `pow-exp` `associate-/r*` `rem-cube-cbrt`
2×	`sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `cbrt-unprod` `associate-/l/`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `rem-cbrt-cube` `associate-/l*`

Counts

4 → 327

Calls

4 calls:

4.0ms	(pow (/ 2.0 (* t 3.0)) 3)
65.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
6.0ms	(/ (* z (sqrt (+ t a))) t)
3.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series322.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow (/ 2.0 (* t 3.0)) 3)
182.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
81.0ms	(/ (* z (sqrt (+ t a))) t)
17.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify88.0ms

Algorithm

egg-herbie

Counts

339 → 339

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1670	5618
1	5001	5082

prune1.4s

Filtered

339 candidates to 174 candidates (51.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (/ 2.0 (* t 3.0)) 3)
2.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
5.7b	(/ (* z (sqrt (+ t a))) t)
37.5b	(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

250×	`unpow-prod-down`
213×	`*-un-lft-identity`
199×	`prod-diff`
198×	`associate--r+`
117×	`add-sqr-sqrt` `add-cube-cbrt`
99×	`distribute-rgt-in` `distribute-lft-in`
70×	`cube-prod`
69×	`times-frac`
48×	`distribute-lft-out`
23×	`div-inv`
22×	`add-exp-log`
19×	`sqr-pow`
15×	`add-cbrt-cube`
11×	`pow-exp`
10×	`cube-mult` `unpow3`
8×	`frac-sub`
7×	`flip3--` `fma-neg` `flip--`
6×	`pow-unpow` `div-exp` `add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `associate-*r/` `log1p-expm1-u`
3×	`pow-to-exp` `sub-neg` `prod-exp` `associate-/r*` `rem-cube-cbrt`
2×	`pow-pow` `sqrt-div` `associate-*l/` `associate--l+` `cbrt-unprod` `associate-/l/`
1×	`cube-div` `frac-2neg` `flip3-+` `unpow1/3` `diff-log` `clear-num` `flip-+` `associate-/l*`

Counts

4 → 338

Calls

4 calls:

4.0ms	(pow (/ 2.0 (* t 3.0)) 3)
72.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
6.0ms	(/ (* z (sqrt (+ t a))) t)
7.0ms	(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

series682.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(pow (/ 2.0 (* t 3.0)) 3)
236.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
122.0ms	(/ (* z (sqrt (+ t a))) t)
277.0ms	(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

simplify89.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1669	5878
1	5001	4990

prune1.5s

Filtered

350 candidates to 176 candidates (50.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes256.0ms

Accuracy

0% (1.8b remaining)

Error of 2.1b against oracle of 0.3b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	28
1	47	28
2	47	28

end0.0ms

sample1.8s

Algorithm

intervals

Results

597.0ms	8000×	body	80	valid
543.0ms	7886×	body	80	nan