Details

sample80.0ms

Algorithm

intervals

Results

24.0ms	281×	body	80	nan
23.0ms	256×	body	80	valid

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

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: 3.0b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))
0.3b	(/ 2.0 (* t 3.0))
2.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.4b	(/ (* z (sqrt (+ t a))) t)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

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

series528.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))
16.0ms	(/ 2.0 (* t 3.0))
179.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
79.0ms	(/ (* z (sqrt (+ t a))) t)

simplify42.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1031	1551
1	5001	1426

prune524.0ms

Filtered

110 candidates to 85 candidates (77.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	105	5	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	5	111

Merged error: 0.5b

Counts

111 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
2.0b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.3b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

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)
20.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
26.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series687.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt t)
176.0ms	(cbrt t)
221.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
107.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify67.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1739	3626
1	5001	3513

prune1.1s

Filtered

181 candidates to 145 candidates (80.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	181	5	186

Merged error: 0.5b

Counts

186 → 5

localize33.0ms

Local error

Found 4 expressions with local error:

2.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.4b	(/ (* z (sqrt (+ t a))) t)
4.4b	(/ (* z (sqrt (+ t a))) t)
4.4b	(/ (* z (sqrt (+ t a))) t)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
19×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`flip3--` `times-frac` `associate-/r*` `flip--`
8×	`frac-times`
6×	`cbrt-undiv` `flip3-+` `sqrt-div` `div-exp` `flip-+` `associate-/l/` `associate--r+` `add-log-exp`
4×	`pow1`
3×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`
2×	`associate-*l/` `associate--l+`
1×	`diff-log`

Counts

4 → 101

Calls

4 calls:

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)
8.0ms	(/ (* z (sqrt (+ t a))) t)
8.0ms	(/ (* z (sqrt (+ t a))) t)

series414.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
78.0ms	(/ (* z (sqrt (+ t a))) t)
79.0ms	(/ (* z (sqrt (+ t a))) t)
81.0ms	(/ (* z (sqrt (+ t a))) t)

simplify102.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	840	1360
1	4301	1271
2	5001	1271

prune970.0ms

Filtered

113 candidates to 93 candidates (82.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0.5b

Counts

118 → 5

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
2.0b	(log (exp (/ 2.0 (* t 3.0))))
3.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.4b	(/ (* z (sqrt (+ t a))) t)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

5.0ms	(/ 2.0 (* t 3.0))
4.0ms	(log (exp (/ 2.0 (* t 3.0))))
12.0ms	(- (/ (* 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)

series288.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 2.0 (* t 3.0))
16.0ms	(log (exp (/ 2.0 (* t 3.0))))
176.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
80.0ms	(/ (* z (sqrt (+ t a))) t)

simplify84.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	768	1017
1	3739	918
2	5001	917

prune451.0ms

Filtered

101 candidates to 80 candidates (79.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	101	5	106

Merged error: 0.5b

Counts

106 → 5

regimes584.0ms

Accuracy

0% (2.2b remaining)

Error of 2.8b against oracle of 0.6b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	22
1	39	22

end0.0ms

sample2.1s

Algorithm

intervals

Results

748.0ms	8000×	body	80	valid
732.0ms	8107×	body	80	nan