Details

sample74.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
17.0ms	254×	body	80	nan

simplify38.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize28.0ms

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)

rewrite74.0ms

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))
40.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms	(/ (* z (sqrt (+ t a))) t)

series352.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* z (sqrt (+ t a)))
22.0ms	(/ 2.0 (* t 3.0))
189.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
79.0ms	(/ (* z (sqrt (+ t a))) t)

simplify60.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1377	2637
1	5001	2324

prune966.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

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))))))

rewrite168.0ms

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:

147.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
9.0ms	(/ (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))))))

series369.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
65.0ms	(/ (sqrt (+ t a)) t)
16.0ms	(/ 2.0 (* t 3.0))
221.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify112.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (87.0ms)

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

prune784.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
3.5b	(/ (* z (sqrt (+ t a))) t)
3.7b	(log (exp (/ 2.0 (* t 3.0))))
4.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
95×	`prod-diff`
94×	`associate--r+`
72×	`log-pow`
63×	`exp-prod`
61×	`add-sqr-sqrt` `add-cube-cbrt`
47×	`distribute-rgt-in` `distribute-lft-in`
39×	`times-frac`
22×	`distribute-lft-out`
14×	`add-exp-log` `add-cbrt-cube`
13×	`pow1` `div-inv`
8×	`frac-sub`
7×	`flip3--` `fma-neg` `flip--`
6×	`add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `associate-r/` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l*`
3×	`sub-neg` `log-prod`
2×	`frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`flip3-+` `diff-log` `rem-log-exp` `flip-+`

Counts

4 → 199

Calls

4 calls:

3.0ms	(/ 2.0 (* t 3.0))
6.0ms	(/ (* z (sqrt (+ t a))) t)
4.0ms	(log (exp (/ 2.0 (* t 3.0))))
47.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))

series312.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 2.0 (* t 3.0))
84.0ms	(/ (* z (sqrt (+ t a))) t)
22.0ms	(log (exp (/ 2.0 (* t 3.0))))
189.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))

simplify57.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1214	3242
1	5001	2728

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ t a))
0.2b	(/ (sqrt (+ t a)) t)
1.3b	(fma a b (- (fma a c (* 0.8333333333333334 c))))
2.0b	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma a b (- (fma a c (* 0.8333333333333334 c))))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `times-frac`
20×	`sqrt-prod`
7×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `distribute-lft-out`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`flip3-+` `flip-+` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `hypot-def` `div-inv`

Counts

4 → 86

Calls

4 calls:

4.0ms	(sqrt (+ t a))
8.0ms	(/ (sqrt (+ t a)) t)
0.0ms	(fma a b (- (fma a c (* 0.8333333333333334 c))))
0.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma a b (- (fma a c (* 0.8333333333333334 c))))))

series317.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sqrt (+ t a))
61.0ms	(/ (sqrt (+ t a)) t)
42.0ms	(fma a b (- (fma a c (* 0.8333333333333334 c))))
171.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma a b (- (fma a c (* 0.8333333333333334 c))))))

simplify131.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	327	656
1	963	595
2	4377	581
3	5001	578

prune476.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes284.0ms

Accuracy

0% (1.9b remaining)

Error of 2.3b against oracle of 0.4b 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

sample1.9s

Algorithm

intervals

Results

600.0ms	8000×	body	80	valid
562.0ms	8148×	body	80	nan