Details

sample275.0ms

Algorithm

intervals

Results

102.0ms	1529×	body	80	nan
41.0ms	520×	body	80	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune16.0ms

Filtered

1 candidates to 1 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: 0.2b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite31.0ms

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))
10.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
7.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series141.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
74.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
49.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify65.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	569	965
1	2353	793
2	5001	726

prune181.0ms

Filtered

107 candidates to 75 candidates (29.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	101	6	107
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	102	7	109

Merged error: 0.0b

Counts

109 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
0.3b	(* (log (/ 1 a)) t)
0.3b	(* (log (/ 1 z)) y)
0.7b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
82×	`add-sqr-sqrt` `associate-r`
62×	`*-un-lft-identity`
61×	`add-cube-cbrt`
55×	`unpow-prod-down`
45×	`add-exp-log`
24×	`div-exp`
22×	`add-cbrt-cube`
17×	`exp-sum`
16×	`prod-exp`
15×	`associate-l`
14×	`pow1`
8×	`distribute-lft-neg-out` `log-rec` `pow-exp` `unswap-sqr`
6×	`log-pow` `cbrt-unprod` `div-inv`
5×	`cbrt-undiv` `sqr-pow`
4×	`exp-diff` `associate-/r/` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `associate-+r-` `rec-exp` `distribute-neg-out` `pow-flip` `1-exp` `associate-*r/` `unsub-neg` `inv-pow`
1×	`frac-2neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

4 → 177

Calls

4 calls:

28.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
4.0ms	(* (log (/ 1 a)) t)
4.0ms	(* (log (/ 1 z)) y)
19.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

series307.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
11.0ms	(* (log (/ 1 a)) t)
11.0ms	(* (log (/ 1 z)) y)
145.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) y)

simplify120.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1050	2460
1	4978	2167
2	5002	2167

prune506.0ms

Filtered

189 candidates to 131 candidates (30.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	186	3	189
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	189	7	196

Merged error: 0b

Counts

196 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
0.3b	(* (log (/ 1 a)) t)
0.3b	(* (log (/ 1 z)) y)
0.7b	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) (/ 1 y))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-exp-log`
120×	`times-frac`
95×	`associate-r`
87×	`add-sqr-sqrt`
69×	`prod-exp`
67×	`*-un-lft-identity`
66×	`add-cube-cbrt`
56×	`div-exp`
55×	`unpow-prod-down`
34×	`add-cbrt-cube`
20×	`pow-exp`
19×	`pow1`
17×	`exp-sum`
16×	`associate-l`
14×	`cbrt-unprod`
13×	`rec-exp` `1-exp`
8×	`distribute-lft-neg-out` `log-rec` `unswap-sqr`
6×	`cbrt-undiv` `pow-prod-down` `log-pow` `div-inv`
5×	`pow-to-exp` `sqr-pow`
4×	`exp-diff` `associate-r/` `associate-/r/` `-commutative` `add-log-exp`
2×	`associate-+r-` `distribute-neg-out` `pow-flip` `unsub-neg` `inv-pow`
1×	`frac-times` `associate-*l/` `un-div-inv`

Counts

4 → 214

Calls

4 calls:

28.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
4.0ms	(* (log (/ 1 a)) t)
4.0ms	(* (log (/ 1 z)) y)
23.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) (/ 1 y))

series309.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))))
11.0ms	(* (log (/ 1 a)) t)
11.0ms	(* (log (/ 1 z)) y)
146.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t)))))) (/ 1 y))

simplify56.0ms

Algorithm

egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1264	3138
1	5001	2746

prune531.0ms

Filtered

226 candidates to 136 candidates (39.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	226	7	233

Merged error: 0b

Counts

233 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y)
0.3b	(* (log (/ 1 a)) t)
0.3b	(* (log (/ 1 z)) y)
2.6b	(* x (/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

1197×	`times-frac`
542×	`add-sqr-sqrt`
514×	`*-un-lft-identity`
513×	`add-cube-cbrt`
367×	`unpow-prod-down`
238×	`associate-r`
119×	`exp-sum`
76×	`associate-/l*`
45×	`add-exp-log`
44×	`distribute-lft-neg-out` `log-rec`
37×	`div-inv`
30×	`div-exp`
29×	`sqr-pow`
28×	`exp-diff` `associate-/r/`
22×	`add-cbrt-cube`
15×	`associate-l`
14×	`pow1` `associate-+r-` `distribute-neg-out` `unsub-neg`
10×	`prod-exp`
9×	`unswap-sqr`
8×	`pow-exp`
6×	`cbrt-undiv` `log-pow`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `inv-pow`
1×	`frac-2neg` `associate-*r/` `clear-num` `associate-/l/`

Counts

4 → 634

Calls

4 calls:

26.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y)
4.0ms	(* (log (/ 1 a)) t)
4.0ms	(* (log (/ 1 z)) y)
64.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y))

series305.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y)
11.0ms	(* (log (/ 1 a)) t)
11.0ms	(* (log (/ 1 z)) y)
152.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (exp (+ b (+ (* (log (/ 1 z)) y) (* (log (/ 1 a)) t))))) y))

simplify159.0ms

Algorithm

egg-herbie

Counts

646 → 646

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	2626	12259
1	5002	11830

prune3.6s

Filtered

646 candidates to 471 candidates (27.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	646	0	646
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	646	7	653

Merged error: 0b

Counts

653 → 7

regimes714.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.0s	46188×	body	80	nan
1.2s	15071×	body	80	valid

Details

sample275.0ms

simplify54.0ms

prune16.0ms

localize16.0ms

rewrite31.0ms

series141.0ms

simplify65.0ms

prune181.0ms

localize23.0ms

rewrite69.0ms

series307.0ms

simplify120.0ms

prune506.0ms

localize25.0ms

rewrite75.0ms

series309.0ms

simplify56.0ms

prune531.0ms

localize21.0ms

rewrite154.0ms

series305.0ms

simplify159.0ms

prune3.6s

regimes714.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.8s

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