Details

sample219.0ms

Algorithm

intervals

Results

101.0ms	1505×	body	80	nan
41.0ms	490×	body	80	valid

simplify52.0ms

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

prune10.0ms

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: 0.3b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.7b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.0b	(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)
9.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series377.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (- t 1.0) (log a))
37.0ms	(* y (log z))
168.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
113.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

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

prune328.0ms

Filtered

107 candidates to 75 candidates (70.1%)

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:

0.1b	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.2b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
0.7b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite69.0ms

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:

28.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
6.0ms	(* y (log (/ 1 z)))
4.0ms	(* (log (/ 1 a)) t)
20.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series759.0ms

Counts

4 → 12

Calls

4 calls:

335.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
37.0ms	(* y (log (/ 1 z)))
61.0ms	(* (log (/ 1 a)) t)
325.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1077	2667
1	5001	2322

prune702.0ms

Filtered

211 candidates to 145 candidates (68.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	207	4	211
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	210	8	218

Merged error: 0.0b

Counts

218 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
0.3b	(* (log (/ 1 a)) t)
0.7b	(/ (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `log-prod` `*-un-lft-identity`
21×	`times-frac`
19×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
15×	`associate-l`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
9×	`log-pow`
6×	`prod-exp` `cbrt-unprod`
4×	`sqrt-div` `add-log-exp`
3×	`cbrt-undiv` `pow-flip` `associate-r/` `div-exp` `log-rec` `pow-prod-down` `associate-/r` `*-commutative` `div-inv` `associate-/l/` `inv-pow` `unswap-sqr`
2×	`distribute-lft-neg-out`
1×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `distribute-rgt-neg-out` `associate-/l`

Counts

4 → 118

Calls

4 calls:

7.0ms	(* y (log (/ 1 z)))
5.0ms	(* (log (/ 1 a)) t)
4.0ms	(* (log (/ 1 a)) t)
41.0ms	(/ (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series560.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* y (log (/ 1 z)))
95.0ms	(* (log (/ 1 a)) t)
72.0ms	(* (log (/ 1 a)) t)
336.0ms	(/ (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	549	1394
1	2344	1066
2	5001	1032

prune531.0ms

Filtered

130 candidates to 88 candidates (67.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	130	8	138

Merged error: 0b

Counts

138 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

555×	`times-frac`
259×	`add-sqr-sqrt`
253×	`add-cube-cbrt` `*-un-lft-identity`
241×	`associate-r`
216×	`sqrt-prod`
156×	`unpow-prod-down`
51×	`exp-sum`
26×	`log-prod`
22×	`add-exp-log` `add-cbrt-cube`
21×	`pow1`
18×	`div-inv`
16×	`associate-l`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`sqr-pow`
9×	`prod-exp` `log-pow` `cbrt-unprod`
6×	`pow-prod-down`
4×	`*-commutative` `add-log-exp`
3×	`pow-flip` `associate-*r/` `log-rec` `inv-pow` `unswap-sqr`
2×	`cbrt-undiv` `distribute-lft-neg-out` `sqrt-div` `div-exp`
1×	`frac-times` `associate-*l/` `distribute-rgt-neg-out`

Counts

4 → 343

Calls

4 calls:

9.0ms	(* y (log (/ 1 z)))
8.0ms	(* (log (/ 1 a)) t)
9.0ms	(* (log (/ 1 a)) t)
82.0ms	(* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

series496.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* y (log (/ 1 z)))
57.0ms	(* (log (/ 1 a)) t)
63.0ms	(* (log (/ 1 a)) t)
332.0ms	(* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

simplify112.0ms

Algorithm

egg-herbie

Counts

355 → 355

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2264	8462
1	5001	7994

prune2.0s

Filtered

355 candidates to 268 candidates (75.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	355	0	355
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	355	8	363

Merged error: 0b

Counts

363 → 8

regimes331.0ms

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	31	29
1	31	29

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.1s	46047×	body	80	nan
1.2s	15093×	body	80	valid
0.0ms	1×	body	160	valid

Details

sample219.0ms

simplify52.0ms

prune10.0ms

localize16.0ms

rewrite34.0ms

series377.0ms

simplify54.0ms

prune328.0ms

localize23.0ms

rewrite69.0ms

series759.0ms

simplify50.0ms

prune702.0ms

localize27.0ms

rewrite61.0ms

series560.0ms

simplify67.0ms

prune531.0ms

localize27.0ms

rewrite137.0ms

series496.0ms

simplify112.0ms

prune2.0s

regimes331.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.4s

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