Details

sample67.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
16.0ms	244×	body	80	nan

simplify36.0ms

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

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: 5.3b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2.0 (* t 3.0))
0.2b	(* z (sqrt (+ t a)))
3.9b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.3b	(/ (* 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:

5.0ms	(/ 2.0 (* t 3.0))
7.0ms	(* z (sqrt (+ t a)))
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)

series338.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 2.0 (* t 3.0))
64.0ms	(* z (sqrt (+ t a)))
177.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
80.0ms	(/ (* z (sqrt (+ t a))) t)

simplify41.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1019	1262
1	5001	1200

prune517.0ms

Filtered

113 candidates to 88 candidates (77.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	4	114

Merged error: 1.2b

Counts

114 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.8b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.9b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite58.0ms

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

series681.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt t)
176.0ms	(cbrt t)
112.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
217.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify96.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	1739	3626
1	5001	3513

prune1.0s

Filtered

181 candidates to 144 candidates (79.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	181	4	185

Merged error: 1.0b

Counts

185 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
4.6b	(log (exp (/ 2.0 (* t 3.0))))
5.3b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
6.3b	(/ (* z (sqrt (+ t a))) t)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

7.0ms	(* z (sqrt (+ t a)))
4.0ms	(log (exp (/ 2.0 (* t 3.0))))
16.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
8.0ms	(/ (* z (sqrt (+ t a))) t)

series342.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* z (sqrt (+ t a)))
16.0ms	(log (exp (/ 2.0 (* t 3.0))))
180.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
81.0ms	(/ (* z (sqrt (+ t a))) t)

simplify108.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	795	1091
1	3885	987
2	5001	982

prune513.0ms

Filtered

105 candidates to 82 candidates (78.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	105	4	109

Merged error: 1.0b

Counts

109 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
8.6b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
10.0b	(log (exp (cbrt t)))

rewrite33.0ms

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)
22.0ms	(- (* (/ 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)))

series780.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt t)
193.0ms	(cbrt t)
224.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
182.0ms	(log (exp (cbrt t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1281	2693
1	5001	2579

prune854.0ms

Filtered

112 candidates to 102 candidates (91.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	112	4	116

Merged error: 1.0b

Counts

116 → 4

regimes330.0ms

Accuracy

-25% (2.6b remaining)

Error of 3.3b against oracle of 0.7b and baseline of 2.8b

bsearch464.0ms

Steps

Iters	Range		Point
7	1.0194911374297609e-286	1.6367437277993015e-285	1.228900649199322e-285
12	-7.730380871953199e+77	-6.830237599105435e+36	-6.918756133546808e+36

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	80
1	90	80

end0.0ms

sample1.8s

Algorithm

intervals

Results

578.0ms	8000×	body	80	valid
528.0ms	7808×	body	80	nan