Details

sample130.0ms

Algorithm

intervals

Results

52.0ms	256×	body	80	valid
43.0ms	268×	body	80	nan

simplify39.0ms

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: 3.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.5b	(/ 2.0 (* t 3.0))
1.8b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.6b	(/ (* z (sqrt (+ t a))) t)

rewrite76.0ms

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))
43.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms	(/ (* z (sqrt (+ t a))) t)

series346.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* z (sqrt (+ t a)))
16.0ms	(/ 2.0 (* t 3.0))
185.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
80.0ms	(/ (* z (sqrt (+ t a))) t)

simplify54.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1377	2637
1	5001	2324

prune970.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.2b	(/ (sqrt (+ t a)) t)
0.5b	(/ 2.0 (* t 3.0))
1.9b	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite170.0ms

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:

149.0ms	(* (- 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))))))

series535.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
62.0ms	(/ (sqrt (+ t a)) t)
16.0ms	(/ 2.0 (* t 3.0))
394.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify109.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (86.0ms)

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

prune739.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.2b	(* z (sqrt (+ t a)))
0.5b	(/ 2.0 (* t 3.0))
4.8b	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 161

Calls

4 calls:

151.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
13.0ms	(* z (sqrt (+ t a)))
4.0ms	(/ 2.0 (* t 3.0))
1.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series342.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
60.0ms	(* z (sqrt (+ t a)))
18.0ms	(/ 2.0 (* t 3.0))
200.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify107.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	900	2516
1	4225	1991
2	5001	1986

prune664.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ 2.0 (* t 3.0)) 3)
0.5b	(/ 2.0 (* t 3.0))
1.9b	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))))))
43.2b	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log` `times-frac` `add-cbrt-cube`
14×	`unpow-prod-down` `cube-prod`
5×	`pow1` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-exp` `associate-/l*` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `unpow3` `prod-exp` `cbrt-unprod` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `associate-/r*` `rem-cbrt-cube` `fma-udef`

Counts

4 → 103

Calls

4 calls:

5.0ms	(pow (/ 2.0 (* t 3.0)) 3)
3.0ms	(/ 2.0 (* t 3.0))
0.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))))))
4.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series307.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(pow (/ 2.0 (* t 3.0)) 3)
16.0ms	(/ 2.0 (* t 3.0))
227.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))))))
17.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	361	603
1	1563	546
2	5002	537

prune512.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes275.0ms

Accuracy

20.5% (1.8b remaining)

Error of 2.2b against oracle of 0.4b and baseline of 2.7b

bsearch39.0ms

Steps

Iters	Range		Point
2	8.722941502898344e+213	9.753425872856592e+213	8.851752049143124e+213

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	33
1	69	33
2	69	33

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.6s	8000×	body	80	valid
1.4s	8127×	body	80	nan