Details

sample6.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 18.75%

Guaranteed chance to sample good point: 11.944111%

Results

25.0ms	256×	body	80	valid
18.0ms	191×	body	80	nan

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune9.0ms

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: 2.7b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
1.6b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.8b	(/ (* z (sqrt (+ t a))) t)

rewrite36.0ms

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:

7.0ms	(* z (sqrt (+ t a)))
5.0ms	(/ 2.0 (* t 3.0))
13.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms	(/ (* z (sqrt (+ t a))) t)

series86.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* z (sqrt (+ t a)))
2.0ms	(/ 2.0 (* t 3.0))
53.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
17.0ms	(/ (* z (sqrt (+ t a))) t)

simplify40.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1012	1260
1	5001	1212

prune236.0ms

Filtered

88 candidates to 113 candidates (-28.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	3	114

Merged error: 0.5b

Counts

114 → 3

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
1.6b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.0b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
60×	`frac-sub`
58×	`times-frac`
47×	`*-un-lft-identity`
46×	`associate-r`
39×	`frac-times`
35×	`add-cube-cbrt`
31×	`cbrt-prod`
28×	`sqrt-prod`
27×	`associate-*r/`
25×	`add-exp-log` `flip3--` `flip--`
21×	`associate-*l/`
18×	`add-cbrt-cube`
10×	`unswap-sqr`
9×	`flip3-+` `flip-+`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out` `associate--r+` `add-log-exp`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`pow1/3` `associate--l+` `div-inv`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 169

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
21.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
23.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
21.0ms	(cbrt t)
61.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
21.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify70.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1754	3649
1	5001	3540

prune425.0ms

Filtered

144 candidates to 181 candidates (-25.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	181	3	184

Merged error: 0.5b

Counts

184 → 3

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
4.2b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.2b	(log (exp (cbrt t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-sub`
38×	`frac-times`
26×	`associate-*r/`
25×	`flip3--` `flip--`
20×	`associate-*l/`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
7×	`log-pow`
6×	`exp-prod` `associate--r+` `add-log-exp`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube`
3×	`distribute-rgt-in` `sub-neg` `log-prod` `distribute-lft-in`
2×	`pow1/3` `associate--l+`
1×	`diff-log` `rem-log-exp`

Counts

4 → 100

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
21.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.0ms	(log (exp (cbrt t)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt t)
23.0ms	(cbrt t)
58.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
25.0ms	(log (exp (cbrt t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1299	2729
1	5001	2661

prune305.0ms

Filtered

100 candidates to 112 candidates (-12.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0.5b

Counts

115 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
0.0b	(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
0.0b	(+ (* a c) (* 0.8333333333333334 c))
0.9b	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

10.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
4.0ms	(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
4.0ms	(+ (* a c) (* 0.8333333333333334 c))
6.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series79.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
38.0ms	(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
5.0ms	(+ (* a c) (* 0.8333333333333334 c))
8.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify48.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	370	925
1	1372	850
2	5001	836

prune135.0ms

Filtered

66 candidates to 91 candidates (-37.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	89	5	94

Merged error: 0.2b

Counts

94 → 5

regimes756.0ms

Accuracy

0% (2.5b remaining)

Error of 3.0b against oracle of 0.4b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	22
1	39	22

end0.0ms

sample8.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 18.75%

Guaranteed chance to sample good point: 11.944111%

Results

801.0ms	8000×	body	80	valid
492.0ms	5041×	body	80	nan

Details

sample6.3s

simplify35.0ms

prune9.0ms

localize24.0ms

rewrite36.0ms

series86.0ms

simplify40.0ms

prune236.0ms

localize28.0ms

rewrite56.0ms

series127.0ms

simplify70.0ms

prune425.0ms

localize30.0ms

rewrite31.0ms

series127.0ms

simplify54.0ms

prune305.0ms

localize17.0ms

rewrite26.0ms

series79.0ms

simplify48.0ms

prune135.0ms

regimes756.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.5s

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