Details

sample182.0ms

Algorithm

intervals

Results

75.0ms	1468×	body	80	nan
31.0ms	515×	body	80	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	33	10
1	73	10
2	197	8
3	558	8
4	2287	8
5	5001	8

prune12.0ms

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: 0.3b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.5b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

395×	`*-un-lft-identity`
215×	`exp-sum`
192×	`associate-r`
177×	`add-sqr-sqrt`
165×	`times-frac`
161×	`add-cube-cbrt`
135×	`prod-diff`
132×	`associate-l`
96×	`distribute-lft-out`
72×	`log-prod`
70×	`associate--l+`
55×	`associate-/l*`
40×	`distribute-lft-out--`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`associate-+l+` `associate-+r+`
15×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`exp-prod`
10×	`pow1` `add-log-exp`
6×	`*-commutative` `unswap-sqr`
5×	`+-commutative` `sub-neg`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u`
3×	`div-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `pow-prod-down` `associate-*l/` `log-pow` `difference-of-squares`
1×	`flip3--` `frac-2neg` `associate-*r/` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/`

Counts

4 → 366

Calls

4 calls:

7.0ms	(* (- t 1.0) (log a))
5.0ms	(* y (log z))
55.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
30.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series400.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (- t 1.0) (log a))
39.0ms	(* y (log z))
176.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
124.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify143.0ms

Algorithm

egg-herbie

Counts

378 → 378

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1287	5547
1	4881	4154
2	5001	4154

prune684.0ms

Filtered

378 candidates to 185 candidates (51.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	371	7	378
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	372	8	380

Merged error: 0.0b

Counts

380 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.1b	(fma (log (/ 1 a)) t b)
0.2b	(/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
0.5b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

824×	`times-frac`
434×	`add-sqr-sqrt`
371×	`*-un-lft-identity`
366×	`add-cube-cbrt`
298×	`unpow-prod-down`
288×	`associate-r`
121×	`associate-/l*`
89×	`fma-udef`
87×	`exp-sum`
69×	`add-exp-log`
46×	`div-exp`
28×	`div-inv`
26×	`associate-/l/` `sqr-pow`
24×	`associate-*r/` `unswap-sqr`
16×	`pow-exp`
15×	`add-cbrt-cube`
13×	`prod-exp`
12×	`associate-l`
11×	`associate-/r*`
5×	`cbrt-undiv`
4×	`pow1` `expm1-log1p-u` `pow-to-exp` `rec-exp` `1-exp` `clear-num` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg`
2×	`un-div-inv` `cbrt-unprod`

Counts

4 → 536

Calls

4 calls:

1.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
1.0ms	(fma (log (/ 1 a)) t b)
11.0ms	(/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
48.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series833.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
82.0ms	(fma (log (/ 1 a)) t b)
312.0ms	(/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
352.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify153.0ms

Algorithm

egg-herbie

Counts

548 → 548

Iterations

Useful iterations: 1 (49.0ms)

Iter	Nodes	Cost
0	2611	10969
1	5001	10622

prune2.0s

Filtered

548 candidates to 392 candidates (28.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	543	5	548
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	548	8	556

Merged error: 0.0b

Counts

556 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series735.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt y) (cbrt y))
179.0ms	(cbrt y)
179.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify92.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune573.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (* x (exp (- (+ (+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.9b	(exp (- (+ (+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

1078×	`*-un-lft-identity`
510×	`exp-sum`
432×	`distribute-lft-out`
420×	`associate-r`
364×	`associate-l`
342×	`times-frac`
319×	`add-sqr-sqrt`
310×	`associate-+l+`
309×	`add-cube-cbrt`
270×	`prod-diff`
230×	`associate--l+`
210×	`log-prod`
165×	`distribute-rgt-in` `distribute-lft-in`
114×	`associate-/l*`
96×	`cbrt-prod` `distribute-lft-out--`
90×	`associate-+r+`
20×	`exp-prod`
14×	`add-log-exp`
11×	`add-exp-log`
10×	`+-commutative`
9×	`add-cbrt-cube`
5×	`sub-neg`
4×	`pow1` `expm1-log1p-u` `*-commutative` `log1p-expm1-u` `rem-exp-log` `unswap-sqr`
3×	`diff-log` `div-exp` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `exp-diff` `pow1/3` `prod-exp`
1×	`frac-2neg` `associate-*r/` `clear-num` `cbrt-unprod` `div-inv` `associate-/l/` `difference-of-squares`

Counts

4 → 639

Calls

4 calls:

127.0ms	(/ (* x (exp (- (+ (+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
80.0ms	(exp (- (+ (+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))

series804.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(/ (* x (exp (- (+ (+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)
185.0ms	(cbrt z)
173.0ms	(cbrt z)
177.0ms	(exp (- (+ (+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))

simplify164.0ms

Algorithm

egg-herbie

Counts

651 → 651

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2190	14027
1	5001	11231

prune1.3s

Filtered

651 candidates to 253 candidates (61.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	651	0	651
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	651	8	659

Merged error: 0.0b

Counts

659 → 8

regimes487.0ms

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	22	12
1	22	12

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.3s	46016×	body	80	nan
941.0ms	15367×	body	80	valid