Details

sample224.0ms

Algorithm

intervals

Results

98.0ms	1344×	body	80	nan
54.0ms	474×	body	80	valid

simplify52.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite135.0ms

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:

11.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
34.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
83.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series585.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- t 1.0) (log a))
238.0ms	(* y (log z))
116.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
176.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (50.0ms)

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

prune424.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.1b	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.1b	(fma (log (/ 1 a)) t b)
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
74×	`add-sqr-sqrt`
72×	`associate-r`
58×	`*-un-lft-identity`
57×	`add-cube-cbrt`
55×	`unpow-prod-down`
41×	`add-exp-log`
24×	`div-exp`
19×	`fma-udef`
18×	`add-cbrt-cube`
17×	`exp-sum`
14×	`prod-exp`
8×	`pow-exp`
6×	`pow1` `div-inv` `unswap-sqr`
5×	`cbrt-undiv` `sqr-pow`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`pow-to-exp` `rec-exp` `1-exp` `associate-*r/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l/` `associate-/l`

Counts

4 → 153

Calls

4 calls:

38.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms	(fma (log (/ 1 a)) t b)
16.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series832.0ms

Counts

4 → 12

Calls

4 calls:

337.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
82.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
76.0ms	(fma (log (/ 1 a)) t b)
336.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify93.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	904	2177
1	4141	1915
2	5001	1905

prune730.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) y)
0.1b	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.1b	(fma (log (/ 1 a)) t b)
1.0b	(* x (/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) y))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

1173×	`times-frac`
526×	`add-sqr-sqrt`
502×	`*-un-lft-identity`
501×	`add-cube-cbrt`
367×	`unpow-prod-down`
220×	`associate-r`
121×	`fma-udef`
119×	`exp-sum`
72×	`associate-/l*`
41×	`add-exp-log`
37×	`div-inv`
30×	`div-exp`
29×	`sqr-pow`
18×	`add-cbrt-cube`
8×	`pow-exp` `prod-exp`
7×	`unswap-sqr`
6×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r*` `cbrt-unprod`
2×	`pow-to-exp` `rec-exp` `1-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

4 → 586

Calls

4 calls:

33.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) y)
0.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms	(fma (log (/ 1 a)) t b)
96.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) y))

series797.0ms

Counts

4 → 12

Calls

4 calls:

310.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) y)
81.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
75.0ms	(fma (log (/ 1 a)) t b)
331.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) y))

simplify139.0ms

Algorithm

egg-herbie

Counts

598 → 598

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	2440	10914
1	5001	10493

prune2.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

1052×	`times-frac`
526×	`sqrt-prod`
472×	`add-sqr-sqrt`
469×	`*-un-lft-identity`
468×	`add-cube-cbrt`
436×	`associate-r`
336×	`unpow-prod-down`
114×	`add-exp-log`
62×	`fma-udef`
60×	`exp-sum`
50×	`div-exp`
45×	`prod-exp`
40×	`add-cbrt-cube`
26×	`div-inv`
21×	`sqr-pow`
15×	`cbrt-unprod`
12×	`cbrt-undiv`
11×	`pow1`
10×	`pow-to-exp` `pow-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow-prod-down` `associate-*l/`
1×	`frac-times` `pow-flip` `pow1/2` `sqrt-div` `associate-r/` `associate-l` `-commutative` `inv-pow`

Counts

4 → 536

Calls

4 calls:

5.0ms	(sqrt (/ 1 a))
0.0ms	(fma (log (/ 1 a)) t b)
0.0ms	(fma (log (/ 1 a)) t b)
200.0ms	(* (* (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) x) (/ (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y))

series711.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(sqrt (/ 1 a))
78.0ms	(fma (log (/ 1 a)) t b)
79.0ms	(fma (log (/ 1 a)) t b)
530.0ms	(* (* (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) x) (/ (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y))

simplify178.0ms

Algorithm

egg-herbie

Counts

548 → 548

Iterations

Useful iterations: 1 (59.0ms)

Iter	Nodes	Cost
0	3575	14855
1	5002	14223

prune2.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes248.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	27
1	26	27

end0.0ms

sample7.0s

Algorithm

intervals

Results

3.3s	44834×	body	80	nan
1.6s	15110×	body	80	valid