Details

sample127.0ms

Algorithm

intervals

Results

43.0ms	716×	body	80	nan
13.0ms	191×	body	80	valid
9.0ms	25×	body	640	valid
6.0ms	8×	body	1280	valid
5.0ms	23×	body	320	valid
2.0ms	11×	body	160	valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5210	17

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 6.7b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.1b	(* (- x 1.0) (log y))
5.5b	(log (- 1.0 y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-*l/`
11×	`pow1`
10×	`associate-+r+` `associate-l`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
7×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`associate-+l+` `add-log-exp`
4×	`frac-add`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 109

Calls

4 calls:

9.0ms	(* (- z 1.0) (log (- 1.0 y)))
12.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
9.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series46.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (- z 1.0) (log (- 1.0 y)))
26.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
10.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

simplify45.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5053	1652

prune236.0ms

Filtered

92 candidates to 121 candidates (-31.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	114	7	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	7	122

Merged error: 0.0b

Counts

122 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* y (/ y (* 1.0 1.0))) -1/2)
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
0.0b	(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
0.1b	(* (- x 1.0) (log y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

25×	`associate-*l/`
22×	`add-exp-log` `add-cbrt-cube`
21×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`flip3--` `flip--`
16×	`frac-add`
15×	`pow1`
13×	`add-cube-cbrt`
12×	`frac-times` `log-prod` `associate-r`
11×	`associate-l`
10×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-*r/`
6×	`associate-+l+` `add-log-exp`
5×	`pow-prod-down`
3×	`*-commutative`
2×	`cbrt-undiv` `associate-+r+` `div-exp` `log-pow` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

4 → 119

Calls

4 calls:

8.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
10.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
15.0ms	(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
7.0ms	(* (- x 1.0) (log y))

series61.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
34.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
14.0ms	(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
10.0ms	(* (- x 1.0) (log y))

simplify47.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5025	3613

prune362.0ms

Filtered

99 candidates to 131 candidates (-32.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	130	8	138

Merged error: 0.0b

Counts

138 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log y))
3.9b	(+ (+ (* (- x 1.0) (log y)) (* (log (+ (sqrt 1.0) (sqrt y))) (- z 1.0))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
9.1b	(log (- (sqrt 1.0) (sqrt y)))
9.1b	(log (+ (sqrt 1.0) (sqrt y)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
38×	`log-prod`
30×	`*-un-lft-identity`
22×	`associate-*l/`
20×	`frac-add` `sqrt-prod`
18×	`associate-+r+`
16×	`flip3--` `flip--`
13×	`difference-of-squares`
12×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
9×	`pow1` `add-log-exp`
8×	`add-exp-log` `associate-*r/`
7×	`distribute-lft-out--`
6×	`add-cbrt-cube`
5×	`associate-l`
4×	`log-div` `flip3-+` `associate-r` `flip-+`
3×	`sum-log` `log-pow`
2×	`rem-log-exp` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

7.0ms	(* (- x 1.0) (log y))
18.0ms	(+ (+ (* (- x 1.0) (log y)) (* (log (+ (sqrt 1.0) (sqrt y))) (- z 1.0))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
6.0ms	(log (- (sqrt 1.0) (sqrt y)))
6.0ms	(log (+ (sqrt 1.0) (sqrt y)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (- x 1.0) (log y))
64.0ms	(+ (+ (* (- x 1.0) (log y)) (* (log (+ (sqrt 1.0) (sqrt y))) (- z 1.0))) (* (- z 1.0) (log (- (sqrt 1.0) (sqrt y)))))
8.0ms	(log (- (sqrt 1.0) (sqrt y)))
7.0ms	(log (+ (sqrt 1.0) (sqrt y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5597	3048

prune337.0ms

Filtered

85 candidates to 120 candidates (-41.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	120	8	128

Merged error: 0.0b

Counts

128 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (- 1.0 y)) 3)
0.1b	(cbrt (pow (log (- 1.0 y)) 3))
0.1b	(* (- x 1.0) (log y))
5.5b	(log (- 1.0 y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`cbrt-prod`
13×	`pow1`
11×	`log-prod`
8×	`add-exp-log` `unpow-prod-down` `cube-prod`
7×	`add-cbrt-cube`
6×	`log-pow`
5×	`associate-l`
4×	`associate-r` `add-log-exp`
3×	`distribute-rgt-in` `pow-unpow` `distribute-lft-in`
2×	`cube-mult` `log-div` `flip3--` `unpow3` `associate-*l/` `flip--` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `rem-log-exp` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

3.0ms	(pow (log (- 1.0 y)) 3)
2.0ms	(cbrt (pow (log (- 1.0 y)) 3))
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series25.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(pow (log (- 1.0 y)) 3)
3.0ms	(cbrt (pow (log (- 1.0 y)) 3))
9.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

simplify30.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5248	1103

prune159.0ms

Filtered

64 candidates to 105 candidates (-64.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

regimes510.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	29
1	66	29

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.5s	24363×	body	80	nan
407.0ms	5868×	body	80	valid
274.0ms	757×	body	640	valid
175.0ms	251×	body	1280	valid
159.0ms	696×	body	320	valid
64.0ms	452×	body	160	valid

Details

sample127.0ms

simplify103.0ms

prune9.0ms

localize14.0ms

rewrite38.0ms

series46.0ms

simplify45.0ms

prune236.0ms

localize20.0ms

rewrite45.0ms

series61.0ms

simplify47.0ms

prune362.0ms

localize24.0ms

rewrite42.0ms

series89.0ms

simplify47.0ms

prune337.0ms

localize16.0ms

rewrite18.0ms

series25.0ms

simplify30.0ms

prune159.0ms

regimes510.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.9s

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