Details

sample74.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
19.0ms	270×	body	80	nan

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	50	17
1	106	17
2	374	17
3	1652	17
4	5001	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (sqrt (+ t a)))
0.5b	(/ 2.0 (* t 3.0))
3.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.1b	(/ (* z (sqrt (+ t a))) t)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
16×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`associate-r`
6×	`pow1` `times-frac` `associate--r+` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `sqrt-div` `div-exp` `associate-/r` `associate-/l`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `associate-*l/` `associate--l+` `clear-num` `div-inv` `associate-/l/` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

11.0ms	(* z (sqrt (+ t a)))
3.0ms	(/ 2.0 (* t 3.0))
17.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms	(/ (* z (sqrt (+ t a))) t)

series327.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* z (sqrt (+ t a)))
15.0ms	(/ 2.0 (* t 3.0))
173.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
77.0ms	(/ (* z (sqrt (+ t a))) t)

simplify39.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1019	1262
1	5001	1200

prune579.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ t (sqrt (+ t a)))
0.5b	(/ 2.0 (* t 3.0))
1.3b	(/ z (/ t (sqrt (+ t a))))
3.1b	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

189×	`times-frac`
138×	`*-un-lft-identity`
106×	`add-sqr-sqrt` `add-cube-cbrt`
64×	`sqrt-prod`
35×	`associate-/r*`
20×	`frac-sub`
16×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
11×	`associate-/r/`
10×	`sqrt-div`
9×	`flip3--` `flip--` `associate-/l*`
8×	`frac-times` `flip3-+` `flip-+`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp` `associate--r+` `add-log-exp`
4×	`pow1` `associate-*r/`
3×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num`
2×	`associate-*l/` `associate--l+`
1×	`diff-log` `prod-exp` `cbrt-unprod`

Counts

4 → 224

Calls

4 calls:

6.0ms	(/ t (sqrt (+ t a)))
3.0ms	(/ 2.0 (* t 3.0))
11.0ms	(/ z (/ t (sqrt (+ t a))))
82.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series341.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ t (sqrt (+ t a)))
15.0ms	(/ 2.0 (* t 3.0))
77.0ms	(/ z (/ t (sqrt (+ t a))))
176.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1359	2598
1	5001	2465

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 2.0 (* t 3.0))
1.3b	(/ z (/ t (sqrt (+ t a))))
3.1b	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
40.5b	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
119×	`*-un-lft-identity`
95×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`sqrt-prod`
28×	`associate-/r*`
20×	`cbrt-prod` `frac-sub`
14×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-out`
9×	`flip3--` `associate-/r/` `flip--`
8×	`frac-times` `sqrt-div` `div-inv`
7×	`cube-div` `unpow-prod-down` `cbrt-div` `flip3-+` `cube-prod` `flip-+`
6×	`associate-/l*` `associate--r+` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-*r/`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`frac-2neg` `associate-*l/` `associate--l+` `clear-num`
1×	`cube-mult` `pow1/3` `diff-log` `unpow3` `prod-exp` `rem-cbrt-cube` `cbrt-unprod` `sqr-pow`

Counts

4 → 209

Calls

4 calls:

3.0ms	(/ 2.0 (* t 3.0))
11.0ms	(/ z (/ t (sqrt (+ t a))))
87.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
3.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series285.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 2.0 (* t 3.0))
77.0ms	(/ z (/ t (sqrt (+ t a))))
175.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- 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))

simplify64.0ms

Algorithm

egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1397	2510
1	5001	2396

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 2.0 (* t 3.0))
1.3b	(/ z (/ t (sqrt (+ t a))))
1.9b	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
40.5b	(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
120×	`*-un-lft-identity`
96×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`sqrt-prod`
28×	`associate-/r*`
27×	`unpow-prod-down`
21×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`distribute-lft-out`
9×	`associate-/r/`
8×	`sqrt-div` `pow-exp` `frac-sub` `div-inv`
7×	`flip3--` `cube-prod` `div-exp` `flip--`
6×	`associate-/l*` `associate--r+` `add-log-exp`
5×	`cbrt-undiv`
4×	`pow1` `frac-times` `flip3-+` `flip-+`
3×	`distribute-rgt-in` `sub-neg` `pow-unpow` `distribute-lft-in`
2×	`pow-to-exp` `frac-2neg` `associate-r/` `associate-l/` `prod-exp` `associate--l+` `clear-num` `sqr-pow`
1×	`cube-mult` `pow-pow` `unpow1/3` `diff-log` `unpow3` `cbrt-unprod`

Counts

4 → 212

Calls

4 calls:

3.0ms	(/ 2.0 (* t 3.0))
11.0ms	(/ z (/ t (sqrt (+ t a))))
86.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
7.0ms	(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

series524.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 2.0 (* t 3.0))
81.0ms	(/ z (/ t (sqrt (+ t a))))
189.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (pow (/ 2.0 (* t 3.0)) 3) 1/3))))
237.0ms	(pow (pow (/ 2.0 (* t 3.0)) 3) 1/3)

simplify56.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1367	2302
1	5001	2120

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes430.0ms

Accuracy

73.5% (4.2b remaining)

Error of 5.1b against oracle of 1.0b and baseline of 16.6b

bsearch470.0ms

Steps

Iters	Range		Point
8	3.919694934111244e-105	5.7444264257544215e-102	4.062741574579635e-103
12	-4.9258557020066e+89	-1.597925375452575e+48	-2.015984057668835e+48

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	66
1	92	66

end0.0ms

sample2.0s

Algorithm

intervals

Results

605.0ms	8000×	body	80	valid
572.0ms	8040×	body	80	nan