Details

sample181.0ms

Algorithm

intervals

Results

72.0ms	1396×	body	80	nan
34.0ms	494×	body	80	valid

simplify50.0ms

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

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: 0.2b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

8×	`exp-sum`
6×	`associate-/l*`
4×	`associate-r` `associate--l+`
3×	`*-commutative`
2×	`+-commutative` `sub-neg` `exp-diff` `associate-*l/`
1×	`flip3--` `frac-2neg` `associate-*r/` `clear-num` `flip--` `div-inv` `associate-/l/`

Counts

4 → 19

Calls

4 calls:

3.0ms	(* (- t 1.0) (log a))
2.0ms	(* y (log z))
7.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
9.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series389.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- t 1.0) (log a))
43.0ms	(* y (log z))
117.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
175.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	251	257
1	654	225
2	2221	181
3	5002	172

prune301.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Merged error: 0.1b

Counts

33 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.3b	(* (pow a (- t 1.0)) (exp (- (* y (log z)) b)))
0.3b	(* y (log z))
1.3b	(/ (* x (* (pow a (- t 1.0)) (exp (- (* y (log z)) b)))) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-r`
9×	`associate-/l*`
6×	`unpow-prod-up` `associate-l`
5×	`sub-neg` `associate-*r/` `pow-sub`
4×	`exp-diff` `exp-sum` `*-commutative`
3×	`associate-/l/` `sqr-pow`
2×	`frac-times` `pow-to-exp` `associate-*l/`
1×	`frac-2neg` `prod-exp` `clear-num` `div-inv`

Counts

4 → 31

Calls

4 calls:

2.0ms	(pow a (- t 1.0))
8.0ms	(* (pow a (- t 1.0)) (exp (- (* y (log z)) b)))
2.0ms	(* y (log z))
10.0ms	(/ (* x (* (pow a (- t 1.0)) (exp (- (* y (log z)) b)))) y)

series454.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(pow a (- t 1.0))
153.0ms	(* (pow a (- t 1.0)) (exp (- (* y (log z)) b)))
37.0ms	(* y (log z))
206.0ms	(/ (* x (* (pow a (- t 1.0)) (exp (- (* y (log z)) b)))) y)

simplify95.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	283	288
1	841	268
2	3578	232
3	5002	216

prune135.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	42	5	47

Merged error: 0.0b

Counts

47 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.3b	(* (pow a (- t 1.0)) (exp (- (* y (log z)) b)))
0.3b	(* y (log z))
3.5b	(/ (* (pow a (- t 1.0)) (exp (- (* y (log z)) b))) (/ y x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-l` `div-inv`
8×	`unpow-prod-up`
7×	`sub-neg` `times-frac` `associate-/l*`
6×	`associate-r` `exp-sum`
5×	`pow-sub`
4×	`exp-diff` `*-commutative` `sqr-pow`
3×	`associate-/r/` `associate-/l/`
2×	`frac-times` `pow-to-exp` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`prod-exp` `associate-/r*`

Counts

4 → 40

Calls

4 calls:

2.0ms	(pow a (- t 1.0))
8.0ms	(* (pow a (- t 1.0)) (exp (- (* y (log z)) b)))
2.0ms	(* y (log z))
10.0ms	(/ (* (pow a (- t 1.0)) (exp (- (* y (log z)) b))) (/ y x))

series542.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(pow a (- t 1.0))
149.0ms	(* (pow a (- t 1.0)) (exp (- (* y (log z)) b)))
36.0ms	(* y (log z))
302.0ms	(/ (* (pow a (- t 1.0)) (exp (- (* y (log z)) b))) (/ y x))

simplify37.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	334	398
1	1044	361
2	5002	316

prune169.0ms

Filtered

52 candidates to 38 candidates (73.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	1	1	2
Picked	0	1	1
Done	1	1	2
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y (log z)) b)
0.2b	(* (pow a t) (exp (- (* y (log z)) b)))
0.3b	(* y (log z))
5.2b	(/ (* x (* (pow a t) (exp (- (* y (log z)) b)))) (* y (pow a 1.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-r`
21×	`times-frac`
18×	`*-commutative`
13×	`sqr-pow`
10×	`exp-sum`
7×	`associate-/l*`
6×	`sub-neg`
5×	`associate-l`
3×	`associate-r/` `associate-/r`
2×	`exp-diff`
1×	`pow-to-exp` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `div-inv` `associate-/l/`

Counts

4 → 46

Calls

4 calls:

4.0ms	(- (* y (log z)) b)
6.0ms	(* (pow a t) (exp (- (* y (log z)) b)))
2.0ms	(* y (log z))
10.0ms	(/ (* x (* (pow a t) (exp (- (* y (log z)) b)))) (* y (pow a 1.0)))

series601.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* y (log z)) b)
117.0ms	(* (pow a t) (exp (- (* y (log z)) b)))
36.0ms	(* y (log z))
396.0ms	(/ (* x (* (pow a t) (exp (- (* y (log z)) b)))) (* y (pow a 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	394	505
1	1294	478
2	5002	437

prune193.0ms

Filtered

58 candidates to 44 candidates (75.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	58	5	63

Merged error: 0b

Counts

63 → 5

regimes375.0ms

Accuracy

68% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	26
1	41	26

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.4s	46051×	body	80	nan
978.0ms	15281×	body	80	valid