Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

400×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	10
1	112	10
2	384	10
3	1568	10
4	5001	10

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
0.0b	(* (- y 1.0) z)
0.0b	(* (- (+ y t) 2.0) b)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
16×	`associate-l`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-*l/` `add-cbrt-cube`
9×	`associate-r` `add-log-exp`
8×	`flip3--` `flip--`
4×	`frac-sub` `distribute-lft-out--`
3×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate--l+`
1×	`associate--l-` `distribute-lft-out`

Counts

4 → 87

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
9.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
6.0ms	(* (- y 1.0) z)
8.0ms	(* (- (+ y t) 2.0) b)

series175.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- t 1.0) a)
91.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
27.0ms	(* (- y 1.0) z)
26.0ms	(* (- (+ y t) 2.0) b)

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	520	593
1	2119	539
2	5002	539

prune263.0ms

Filtered

99 candidates to 66 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* (- y 1.0) z)) (cbrt (* (- y 1.0) z)))
0.6b	(cbrt (* (- y 1.0) z))
0.6b	(cbrt (* (- y 1.0) z))
0.6b	(cbrt (* (- y 1.0) z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (- y 1.0) z)) (cbrt (* (- y 1.0) z)))
7.0ms	(cbrt (* (- y 1.0) z))
5.0ms	(cbrt (* (- y 1.0) z))
5.0ms	(cbrt (* (- y 1.0) z))

series343.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (cbrt (* (- y 1.0) z)) (cbrt (* (- y 1.0) z)))
80.0ms	(cbrt (* (- y 1.0) z))
83.0ms	(cbrt (* (- y 1.0) z))
83.0ms	(cbrt (* (- y 1.0) z))

simplify170.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (162.0ms)

Iter	Nodes	Cost
0	353	839
1	1061	784
2	4734	705
3	5001	698

prune347.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (+ y t) 2.0) b)
0.0b	(sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
0.0b	(sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
0.2b	(* (sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))) (sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-div`
81×	`flip3--` `flip--`
72×	`associate-*l/`
64×	`frac-sub`
36×	`frac-times`
34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
21×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
6×	`associate-*r/`
5×	`pow-prod-up` `unswap-sqr`
4×	`pow-prod-down` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out` `difference-of-squares`

Counts

4 → 158

Calls

4 calls:

8.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
6.0ms	(sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
16.0ms	(* (sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))) (sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))))

series663.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (- (+ y t) 2.0) b)
209.0ms	(sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
211.0ms	(sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)))
217.0ms	(* (sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))) (sqrt (- (- x (* (- y 1.0) z)) (* (- t 1.0) a))))

simplify100.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	664	3907
1	2619	3748
2	5003	3716

prune566.0ms

Filtered

170 candidates to 102 candidates (60.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes178.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

562.0ms	12452×	body	80	valid
1.0ms	4×	body	320	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid