Details

sample260.0ms

Algorithm

intervals

Results

92.0ms	1471×	body	80	nan
37.0ms	486×	body	80	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune19.0ms

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:

0.1b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite35.0ms

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:

13.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
7.0ms	(* (- t 1.0) (log a))
5.0ms	(* y (log z))
7.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series361.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
56.0ms	(* (- t 1.0) (log a))
35.0ms	(* y (log z))
109.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	492	869
1	2033	708
2	5002	676

prune550.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
0.2b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
96×	`add-sqr-sqrt`
81×	`associate-r`
76×	`*-un-lft-identity`
75×	`add-cube-cbrt`
55×	`unpow-prod-down`
45×	`add-exp-log`
26×	`log-prod`
24×	`div-exp`
22×	`add-cbrt-cube`
17×	`exp-sum`
16×	`prod-exp`
14×	`pow1`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-l`
8×	`pow-exp` `div-inv` `unswap-sqr`
6×	`log-pow` `cbrt-unprod`
5×	`cbrt-undiv` `sqr-pow`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `associate-*r/` `log-rec` `inv-pow`
1×	`distribute-lft-neg-out` `frac-2neg` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l*`

Counts

4 → 199

Calls

4 calls:

30.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
20.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
7.0ms	(* y (log (/ 1 z)))
5.0ms	(* (log (/ 1 a)) t)

series733.0ms

Counts

4 → 12

Calls

4 calls:

320.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
312.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
42.0ms	(* y (log (/ 1 z)))
58.0ms	(* (log (/ 1 a)) t)

simplify50.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1077	2667
1	5001	2317

prune1.1s

Filtered

211 candidates to 145 candidates (68.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	208	3	211
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	211	5	216

Merged error: 0.0b

Counts

216 → 5

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log (/ 1 z)))
0.3b	(* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))
0.3b	(* (log (/ 1 a)) t)
0.3b	(* (log (/ 1 a)) t)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

129×	`times-frac`
101×	`add-sqr-sqrt`
87×	`associate-r`
78×	`sqrt-prod`
77×	`*-un-lft-identity`
76×	`add-cube-cbrt`
55×	`unpow-prod-down`
26×	`log-prod`
18×	`pow1` `associate-l`
17×	`exp-sum`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-exp-log` `add-cbrt-cube`
10×	`unswap-sqr`
9×	`log-pow`
7×	`div-inv`
5×	`sqr-pow`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
3×	`pow-flip` `log-rec` `inv-pow`
2×	`distribute-lft-neg-out`
1×	`sqrt-div` `associate-*r/` `distribute-rgt-neg-out`

Counts

4 → 189

Calls

4 calls:

7.0ms	(* y (log (/ 1 z)))
31.0ms	(* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))
5.0ms	(* (log (/ 1 a)) t)
5.0ms	(* (log (/ 1 a)) t)

series733.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* y (log (/ 1 z)))
571.0ms	(* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))
59.0ms	(* (log (/ 1 a)) t)
57.0ms	(* (log (/ 1 a)) t)

simplify79.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	815	2206
1	2933	2050
2	5002	2042

prune1.3s

Filtered

201 candidates to 143 candidates (71.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	201	5	206

Merged error: 0.0b

Counts

206 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (pow (/ 1 a) 1.0))
0.2b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
5.0b	(* (* x (pow (/ 1 a) 1.0)) (/ 1 (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-exp-log`
60×	`prod-exp`
53×	`add-sqr-sqrt`
42×	`associate-r`
41×	`times-frac`
40×	`*-un-lft-identity`
39×	`add-cube-cbrt`
26×	`log-prod`
24×	`div-exp`
22×	`add-cbrt-cube`
20×	`pow-exp`
16×	`unpow-prod-down`
14×	`pow1`
13×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
12×	`rec-exp` `1-exp`
9×	`cbrt-unprod`
7×	`unswap-sqr`
6×	`log-pow`
5×	`pow-to-exp`
4×	`*-commutative` `div-inv` `add-log-exp`
3×	`exp-sum` `pow-prod-down`
2×	`cbrt-undiv` `pow-flip` `log-rec` `inv-pow` `sqr-pow`
1×	`distribute-lft-neg-out` `associate-*r/` `un-div-inv` `distribute-rgt-neg-out`

Counts

4 → 170

Calls

4 calls:

9.0ms	(* x (pow (/ 1 a) 1.0))
7.0ms	(* y (log (/ 1 z)))
4.0ms	(* (log (/ 1 a)) t)
21.0ms	(* (* x (pow (/ 1 a) 1.0)) (/ 1 (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))

series560.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* x (pow (/ 1 a) 1.0))
42.0ms	(* y (log (/ 1 z)))
58.0ms	(* (log (/ 1 a)) t)
327.0ms	(* (* x (pow (/ 1 a) 1.0)) (/ 1 (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))

simplify92.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	873	1689
1	3925	1415
2	5001	1353

prune717.0ms

Filtered

182 candidates to 99 candidates (54.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	182	5	187

Merged error: 0.0b

Counts

187 → 5

regimes683.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	29
1	31	29

end0.0ms

sample7.5s

Algorithm

intervals

Results

2.8s	45105×	body	80	nan
1.1s	15084×	body	80	valid

Details

sample260.0ms

simplify51.0ms

prune19.0ms

localize16.0ms

rewrite35.0ms

series361.0ms

simplify52.0ms

prune550.0ms

localize21.0ms

rewrite74.0ms

series733.0ms

simplify50.0ms

prune1.1s

localize28.0ms

rewrite62.0ms

series733.0ms

simplify79.0ms

prune1.3s

localize22.0ms

rewrite48.0ms

series560.0ms

simplify92.0ms

prune717.0ms

regimes683.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.5s

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