Details

sample39.0ms

Algorithm

intervals

Results

17.0ms

428×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

4.0ms	(+ (* x y) (* z t))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series85.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* x y) (* z t))
50.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify76.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177

prune91.0ms

Filtered

30 candidates to 24 candidates (80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.8b	(cbrt (+ (* x y) (* z t)))
1.8b	(cbrt (+ (* x y) (* z t)))
1.8b	(cbrt (+ (* x y) (* z t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

11.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
4.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
98.0ms	(cbrt (+ (* x y) (* z t)))
97.0ms	(cbrt (+ (* x y) (* z t)))
98.0ms	(cbrt (+ (* x y) (* z t)))

simplify95.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	314	1055
1	1035	988
2	3734	912
3	5002	903

prune360.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	100	3	103

Merged error: 0.0b

Counts

103 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
11.1b	(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
25.2b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
25.2b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`add-exp-log`
15×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod`
3×	`difference-of-squares`
2×	`pow1/3`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 78

Calls

4 calls:

9.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
27.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
7.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
7.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series477.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
161.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
107.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
108.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify64.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	465	1844
1	1761	1514
2	5002	1464

prune458.0ms

Filtered

90 candidates to 74 candidates (82.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Merged error: 0.0b

Counts

93 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.3b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.3b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

6.0ms	(+ (+ (* x y) (* z t)) (* a b))
15.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
8.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

series917.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (+ (* x y) (* z t)) (* a b))
55.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
411.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
401.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

simplify48.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	292	1141
1	1289	1043
2	5001	1013

prune294.0ms

Filtered

112 candidates to 66 candidates (58.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	112	3	115

Merged error: 0.0b

Counts

115 → 3

regimes390.0ms

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	22	7
1	22	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

582.0ms

13847×

body

valid