Details

sample66.0ms

Algorithm

intervals

Results

27.0ms

389×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	8
1	69	8
2	134	8
3	225	8
4	378	8
5	598	8
6	815	8
7	1035	8
8	1143	8
9	1211	8
10	1211	8

prune7.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* z t) 16.0)
0.0b	(/ (* a b) 4.0)
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-log-exp`
15×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`times-frac` `associate-/r*`
5×	`sum-log`
4×	`pow1` `cbrt-undiv` `diff-log` `div-exp`
3×	`associate-+l+`
2×	`sub-neg` `frac-2neg` `flip3-+` `prod-exp` `associate--l+` `clear-num` `frac-sub` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3--` `flip--` `difference-of-squares`

Counts

4 → 79

Calls

4 calls:

4.0ms	(/ (* z t) 16.0)
5.0ms	(/ (* a b) 4.0)
9.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
12.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

series286.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (* z t) 16.0)
20.0ms	(/ (* a b) 4.0)
89.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
159.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify53.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	457	624
1	1901	583
2	5002	583

prune482.0ms

Filtered

91 candidates to 65 candidates (71.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	4	92

Merged error: 0.0b

Counts

92 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
7.4b	(cbrt (/ (* a b) 4.0))
7.4b	(cbrt (/ (* a b) 4.0))
7.4b	(cbrt (/ (* a b) 4.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

9.0ms	(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
3.0ms	(cbrt (/ (* a b) 4.0))
3.0ms	(cbrt (/ (* a b) 4.0))
3.0ms	(cbrt (/ (* a b) 4.0))

series490.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
117.0ms	(cbrt (/ (* a b) 4.0))
112.0ms	(cbrt (/ (* a b) 4.0))
107.0ms	(cbrt (/ (* a b) 4.0))

simplify146.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	253	843
1	865	792
2	4388	709
3	5001	697

prune763.0ms

Filtered

115 candidates to 89 candidates (77.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	115	4	119

Merged error: 0.0b

Counts

119 → 4

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ a (* (cbrt 4.0) (cbrt 4.0))))
1.0b	(* (cbrt 4.0) (cbrt 4.0))
1.0b	(* (cbrt 4.0) (cbrt 4.0))
7.4b	(cbrt (/ (* a b) 4.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

46×	`cbrt-prod`
40×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
6×	`times-frac`
4×	`pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow2` `cbrt-div` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 112

Calls

4 calls:

5.0ms	(cbrt (/ a (* (cbrt 4.0) (cbrt 4.0))))
6.0ms	(* (cbrt 4.0) (cbrt 4.0))
7.0ms	(* (cbrt 4.0) (cbrt 4.0))
3.0ms	(cbrt (/ (* a b) 4.0))

series576.0ms

Counts

4 → 8

Calls

4 calls:

469.0ms	(cbrt (/ a (* (cbrt 4.0) (cbrt 4.0))))
0.0ms	(* (cbrt 4.0) (cbrt 4.0))
0.0ms	(* (cbrt 4.0) (cbrt 4.0))
106.0ms	(cbrt (/ (* a b) 4.0))

simplify118.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	238	638
1	722	595
2	3389	548
3	5002	530

prune886.0ms

Filtered

120 candidates to 83 candidates (69.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	120	4	124

Merged error: 0.0b

Counts

124 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b	(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.0b	(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.3b	(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

13.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
12.0ms	(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
12.0ms	(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
29.0ms	(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

series5.5s

Counts

4 → 12

Calls

4 calls:

157.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
2.6s	(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
2.6s	(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
164.0ms	(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

simplify64.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	336	1827
1	1389	1689
2	5001	1648

prune623.0ms

Filtered

134 candidates to 72 candidates (53.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	134	4	138

Merged error: 0.0b

Counts

138 → 4

regimes1.5s

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

638.0ms

11865×

body

valid

Details

sample66.0ms

simplify70.0ms

prune7.0ms

localize15.0ms

rewrite32.0ms

series286.0ms

simplify53.0ms

prune482.0ms

localize19.0ms

rewrite21.0ms

series490.0ms

simplify146.0ms

prune763.0ms

localize31.0ms

rewrite29.0ms

series576.0ms

simplify118.0ms

prune886.0ms

localize22.0ms

rewrite71.0ms

series5.5s

simplify64.0ms

prune623.0ms

regimes1.5s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

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