Details

sample204.0ms

Algorithm

intervals

Results

94.0ms	1394×	body	80	nan
36.0ms	474×	body	80	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	33	10
1	73	10
2	197	8
3	558	8
4	2287	8
5	5001	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: 0.1b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod` `exp-sum`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `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 → 112

Calls

4 calls:

7.0ms	(* (- t 1.0) (log a))
5.0ms	(* y (log z))
15.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
8.0ms	(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))
167.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
115.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify63.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	580	1143
1	2309	897
2	5002	860

prune358.0ms

Filtered

124 candidates to 89 candidates (71.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	122	4	126

Merged error: 0.0b

Counts

126 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.2b	(fma (log (/ 1 a)) t b)
0.2b	(log (/ 1 z))
0.8b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
18×	`div-exp`
13×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity` `add-cbrt-cube`
12×	`times-frac`
7×	`prod-exp`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `rem-log-exp` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `log-pow`
2×	`rec-exp` `1-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`pow-to-exp` `log-div` `pow-flip` `frac-2neg` `associate-r/` `log-rec` `clear-num` `associate-/l/` `associate-/l` `inv-pow`

Counts

4 → 82

Calls

4 calls:

1.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
1.0ms	(fma (log (/ 1 a)) t b)
3.0ms	(log (/ 1 z))
15.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series596.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
72.0ms	(fma (log (/ 1 a)) t b)
115.0ms	(log (/ 1 z))
329.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	522	868
1	1917	723
2	5002	707

prune311.0ms

Filtered

94 candidates to 67 candidates (71.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow a (- t 1.0))
0.3b	(* (pow a (- t 1.0)) (pow z y))
0.3b	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
3.8b	(/ (/ y x) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

208×	`times-frac`
122×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
108×	`add-cube-cbrt`
91×	`add-exp-log`
63×	`div-exp`
36×	`prod-exp`
32×	`add-cbrt-cube`
25×	`pow-to-exp` `pow-exp`
24×	`div-inv`
22×	`unpow-prod-up`
18×	`associate-l` `prod-diff`
15×	`cbrt-undiv` `unpow-prod-down`
14×	`associate-/l*`
10×	`associate-/r*`
9×	`unswap-sqr` `sqr-pow`
7×	`associate-r`
5×	`pow1` `pow-unpow`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-sub`
2×	`sub-neg` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`pow-pow` `associate-/r/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 273

Calls

4 calls:

5.0ms	(pow a (- t 1.0))
10.0ms	(* (pow a (- t 1.0)) (pow z y))
10.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
14.0ms	(/ (/ y x) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(pow a (- t 1.0))
122.0ms	(* (pow a (- t 1.0)) (pow z y))
180.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (exp b))
210.0ms	(/ (/ y x) (/ (* (pow a (- t 1.0)) (pow z y)) (exp b)))

simplify66.0ms

Algorithm

egg-herbie

Counts

285 → 285

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1400	3238
1	5002	2969

prune829.0ms

Filtered

285 candidates to 205 candidates (71.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	285	0	285
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	285	4	289

Merged error: 0.0b

Counts

289 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow a (- t 1.0))
0.3b	(/ (pow a (- t 1.0)) (exp b))
1.2b	(* (/ x y) (pow z y))
4.9b	(* (* (/ x y) (pow z y)) (/ (pow a (- t 1.0)) (exp b)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

130×	`add-sqr-sqrt`
120×	`times-frac`
117×	`*-un-lft-identity`
115×	`add-cube-cbrt`
97×	`add-exp-log`
88×	`unpow-prod-up`
72×	`prod-diff`
65×	`associate-r`
58×	`prod-exp`
39×	`div-exp`
32×	`add-cbrt-cube`
29×	`unpow-prod-down`
19×	`pow-to-exp` `pow-exp`
18×	`associate-/l*`
14×	`associate-l`
12×	`cbrt-unprod`
11×	`sqr-pow`
8×	`sub-neg`
7×	`pow1` `cbrt-undiv`
6×	`unswap-sqr`
5×	`pow-unpow`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`*-commutative` `pow-sub`
1×	`frac-times` `pow-pow` `frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 277

Calls

4 calls:

5.0ms	(pow a (- t 1.0))
11.0ms	(/ (pow a (- t 1.0)) (exp b))
8.0ms	(* (/ x y) (pow z y))
20.0ms	(* (* (/ x y) (pow z y)) (/ (pow a (- t 1.0)) (exp b)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(pow a (- t 1.0))
73.0ms	(/ (pow a (- t 1.0)) (exp b))
56.0ms	(* (/ x y) (pow z y))
209.0ms	(* (* (/ x y) (pow z y)) (/ (pow a (- t 1.0)) (exp b)))

simplify60.0ms

Algorithm

egg-herbie

Counts

289 → 289

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1207	2845
1	5001	2383

prune706.0ms

Filtered

289 candidates to 177 candidates (61.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	289	0	289
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	289	4	293

Merged error: 0.0b

Counts

293 → 4

regimes220.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	12
1	22	12

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.0s	46106×	body	80	nan
1.2s	15412×	body	80	valid