Details

sample203.0ms

Algorithm

intervals

Results

86.0ms	1546×	body	80	nan
34.0ms	529×	body	80	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	32	10
1	65	10
2	181	8
3	522	8
4	2203	8
5	5002	8

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.2b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `exp-sum` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 95

Calls

4 calls:

7.0ms	(* (- t 1.0) (log a))
5.0ms	(* y (log z))
11.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
7.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series475.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (- t 1.0) (log a))
49.0ms	(* y (log z))
206.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
147.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify69.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	493	869
1	2033	715
2	5001	683

prune345.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))
0.2b	(* y (log (/ 1 z)))
0.2b	(* (log (/ 1 a)) t)
0.8b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

134×	`times-frac`
86×	`add-sqr-sqrt`
82×	`add-cube-cbrt` `*-un-lft-identity`
65×	`unpow-prod-down`
37×	`add-exp-log`
26×	`log-prod`
24×	`div-exp`
19×	`add-cbrt-cube`
18×	`exp-sum` `associate-/l*`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1`
9×	`associate-r` `associate-l` `prod-exp` `div-inv`
8×	`pow-exp`
7×	`associate-/r*`
6×	`log-pow`
5×	`cbrt-undiv` `sqr-pow`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `log-rec` `pow-prod-down` `clear-num` `*-commutative` `inv-pow` `unswap-sqr`
1×	`distribute-lft-neg-out` `associate-*r/` `distribute-rgt-neg-out` `associate-/l/`

Counts

4 → 205

Calls

4 calls:

18.0ms	(/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))
11.0ms	(* y (log (/ 1 z)))
5.0ms	(* (log (/ 1 a)) t)
22.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series916.0ms

Counts

4 → 12

Calls

4 calls:

364.0ms	(/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))
55.0ms	(* y (log (/ 1 z)))
79.0ms	(* (log (/ 1 a)) t)
417.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify129.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	922	3387
1	3977	2970
2	5002	2953

prune741.0ms

Filtered

217 candidates to 142 candidates (65.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	216	6	222

Merged error: 0.0b

Counts

222 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (/ 1 a)) t)
0.2b	(* (log (/ 1 a)) t)
0.2b	(* (log (/ 1 a)) t)
0.8b	(/ (* x (* (* (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) y)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`add-sqr-sqrt` `associate-l`
16×	`pow1`
12×	`add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
10×	`associate-*r/`
9×	`associate-r` `prod-exp` `log-pow` `cbrt-unprod`
7×	`associate-/l/`
5×	`frac-times` `associate-*l/`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-neg-out` `pow-flip` `times-frac` `log-rec` `pow-prod-down` `associate-/r` `-commutative` `inv-pow` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

5.0ms	(* (log (/ 1 a)) t)
5.0ms	(* (log (/ 1 a)) t)
5.0ms	(* (log (/ 1 a)) t)
79.0ms	(/ (* x (* (* (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) y)

series670.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (log (/ 1 a)) t)
80.0ms	(* (log (/ 1 a)) t)
75.0ms	(* (log (/ 1 a)) t)
436.0ms	(/ (* x (* (* (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	421	1883
1	1750	1202
2	5001	1040

prune564.0ms

Filtered

110 candidates to 84 candidates (76.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	110	6	116

Merged error: 0.0b

Counts

116 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))
0.2b	(* y (log (/ 1 z)))
0.2b	(* (log (/ 1 a)) t)
6.5b	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

3180×	`times-frac`
1295×	`add-sqr-sqrt`
1291×	`add-cube-cbrt` `*-un-lft-identity`
793×	`unpow-prod-down`
256×	`exp-sum`
152×	`div-inv`
89×	`associate-/l*`
61×	`sqr-pow`
49×	`add-exp-log`
45×	`div-exp`
26×	`log-prod`
22×	`add-cbrt-cube`
17×	`associate-/r*`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1` `pow-exp`
9×	`cbrt-undiv` `associate-r` `associate-l`
6×	`log-pow`
4×	`add-log-exp`
3×	`pow-to-exp` `rec-exp` `1-exp`
2×	`pow-flip` `frac-2neg` `log-rec` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`
1×	`distribute-lft-neg-out` `associate-/r/` `distribute-rgt-neg-out` `associate-/l/`

Counts

4 → 1227

Calls

4 calls:

18.0ms	(/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))
7.0ms	(* y (log (/ 1 z)))
5.0ms	(* (log (/ 1 a)) t)
53.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

series1.2s

Counts

4 → 12

Calls

4 calls:

377.0ms	(/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))
57.0ms	(* y (log (/ 1 z)))
74.0ms	(* (log (/ 1 a)) t)
676.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

simplify364.0ms

Algorithm

egg-herbie

Counts

1239 → 1239

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5001	34598

prune6.0s

Filtered

1239 candidates to 954 candidates (77.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1238	1	1239
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	1239	6	1245

Merged error: 0b

Counts

1245 → 6

regimes341.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.5s	45587×	body	80	nan
995.0ms	15220×	body	80	valid