Details

sample76.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
21.0ms	228×	body	80	nan

simplify47.0ms

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: 4.7b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.5b	(/ 2.0 (* t 3.0))
3.3b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.7b	(/ (* z (sqrt (+ t a))) t)

rewrite44.0ms

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:

8.0ms	(* z (sqrt (+ t a)))
5.0ms	(/ 2.0 (* t 3.0))
18.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms	(/ (* z (sqrt (+ t a))) t)

series415.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* z (sqrt (+ t a)))
19.0ms	(/ 2.0 (* t 3.0))
219.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
99.0ms	(/ (* z (sqrt (+ t a))) t)

simplify48.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1019	1262
1	5001	1200

prune594.0ms

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

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.4b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.3b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite61.0ms

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:

2.0ms	(cbrt t)
2.0ms	(cbrt t)
26.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
22.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series810.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt t)
201.0ms	(cbrt t)
134.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
272.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1739	3626
1	5001	3513

prune1.1s

Filtered

181 candidates to 144 candidates (79.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Merged error: 1.2b

Counts

185 → 4

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 2.0 (* t 3.0))
2.5b	(log (exp (/ 2.0 (* t 3.0))))
3.6b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
5.7b	(/ (* z (sqrt (+ t a))) t)

rewrite36.0ms

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:

6.0ms	(/ 2.0 (* t 3.0))
5.0ms	(log (exp (/ 2.0 (* t 3.0))))
14.0ms	(- (/ (* 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)

series357.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ 2.0 (* t 3.0))
19.0ms	(log (exp (/ 2.0 (* t 3.0))))
217.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
101.0ms	(/ (* z (sqrt (+ t a))) t)

simplify109.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (92.0ms)

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

prune525.0ms

Filtered

101 candidates to 79 candidates (78.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	100	5	105

Merged error: 1.0b

Counts

105 → 5

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a c) (* 0.8333333333333334 c))
0.0b	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
1.4b	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`associate-r`
7×	`add-sqr-sqrt`
6×	`exp-sum`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-exp-log`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `associate--l+`
2×	`diff-log` `sum-log`
1×	`+-commutative` `distribute-rgt-out` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

4.0ms	(+ (* a c) (* 0.8333333333333334 c))
15.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
7.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series158.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (* a c) (* 0.8333333333333334 c))
78.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
40.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify131.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	259	448
1	966	398
2	3737	386
3	5001	385

prune179.0ms

Filtered

59 candidates to 41 candidates (69.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	58	6	64

Merged error: 0.5b

Counts

64 → 6

regimes421.0ms

Accuracy

0% (2.3b remaining)

Error of 2.6b against oracle of 0.3b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	22
1	39	22

end0.0ms

sample2.0s

Algorithm

intervals

Results

668.0ms	8000×	body	80	valid
648.0ms	8174×	body	80	nan