Details

sample211.0ms

Algorithm

intervals

Results

75.0ms	1613×	body	80	nan
29.0ms	502×	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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite282.0ms

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:

22.0ms	(* (- t 1.0) (log a))
8.0ms	(* y (log z))
172.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
77.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series343.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- t 1.0) (log a))
36.0ms	(* y (log z))
153.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
105.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify61.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (50.0ms)

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

prune410.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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

rewrite78.0ms

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:

48.0ms	(* 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)
23.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series773.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
77.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
70.0ms	(fma (log (/ 1 a)) t b)
310.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify113.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (93.0ms)

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

prune729.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
74×	`add-sqr-sqrt`
72×	`associate-l`
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-r` `associate-/r*`
2×	`pow-to-exp` `rec-exp` `1-exp` `associate-*l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l/` `associate-/l`

Counts

4 → 153

Calls

4 calls:

50.0ms	(* (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) x)
0.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms	(fma (log (/ 1 a)) t b)
24.0ms	(/ (* (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) x) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

503.0ms	(* (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) x)
78.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
67.0ms	(fma (log (/ 1 a)) t b)
480.0ms	(/ (* (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) x) y)

simplify79.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	790	2128
1	2777	1920
2	5001	1897

prune796.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow (/ 1 a) 1.0))
0.6b	(cbrt (pow (/ 1 a) 1.0))
0.6b	(cbrt (pow (/ 1 a) 1.0))
1.0b	(/ (* (* x (/ (* (cbrt (pow (/ 1 a) 1.0)) (cbrt (pow (/ 1 a) 1.0))) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) (/ (cbrt (pow (/ 1 a) 1.0)) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

51×	`cbrt-prod`
46×	`add-exp-log`
39×	`unpow-prod-down`
38×	`add-cbrt-cube`
30×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
17×	`cbrt-undiv` `div-exp`
16×	`prod-exp` `cbrt-unprod`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-/r` `associate-/l/` `sqr-pow`
1×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `associate-/l`

Counts

4 → 121

Calls

4 calls:

5.0ms	(cbrt (pow (/ 1 a) 1.0))
4.0ms	(cbrt (pow (/ 1 a) 1.0))
4.0ms	(cbrt (pow (/ 1 a) 1.0))
203.0ms	(/ (* (* x (/ (* (cbrt (pow (/ 1 a) 1.0)) (cbrt (pow (/ 1 a) 1.0))) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) (/ (cbrt (pow (/ 1 a) 1.0)) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)

series1.4s

Counts

4 → 12

Calls

4 calls:

368.0ms	(cbrt (pow (/ 1 a) 1.0))
345.0ms	(cbrt (pow (/ 1 a) 1.0))
349.0ms	(cbrt (pow (/ 1 a) 1.0))
323.0ms	(/ (* (* x (/ (* (cbrt (pow (/ 1 a) 1.0)) (cbrt (pow (/ 1 a) 1.0))) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) (/ (cbrt (pow (/ 1 a) 1.0)) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))) y)

simplify88.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	719	2373
1	3140	1849
2	5002	1799

prune684.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes316.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	12
1	22	12

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.1s	45412×	body	80	nan
874.0ms	15223×	body	80	valid