Details

sample323.0ms

Algorithm

intervals

Results

173.0ms	1598×	body	80	nan
68.0ms	510×	body	80	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	32	10
1	65	10
2	181	8
3	522	8
4	2203	8
5	5002	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* 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))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `exp-sum` `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 → 95

Calls

4 calls:

11.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
83.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
33.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series377.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- t 1.0) (log a))
41.0ms	(* 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))

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	493	869
1	2033	715
2	5001	683

prune360.0ms

Pruning

5 alts after pruning (5 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 (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.2b	(* (log (/ 1 a)) t)
0.2b	(* y (log (/ 1 z)))
0.8b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
96×	`add-sqr-sqrt`
81×	`associate-r`
76×	`*-un-lft-identity`
75×	`add-cube-cbrt`
55×	`unpow-prod-down`
45×	`add-exp-log`
26×	`log-prod`
24×	`div-exp`
22×	`add-cbrt-cube`
17×	`exp-sum`
16×	`prod-exp`
14×	`pow1`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-l`
8×	`pow-exp` `div-inv` `unswap-sqr`
6×	`log-pow` `cbrt-unprod`
5×	`cbrt-undiv` `sqr-pow`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `associate-*r/` `log-rec` `inv-pow`
1×	`distribute-lft-neg-out` `frac-2neg` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l*`

Counts

4 → 199

Calls

4 calls:

153.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
7.0ms	(* (log (/ 1 a)) t)
8.0ms	(* y (log (/ 1 z)))
103.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series770.0ms

Counts

4 → 12

Calls

4 calls:

338.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
58.0ms	(* (log (/ 1 a)) t)
44.0ms	(* y (log (/ 1 z)))
330.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1077	2667
1	5002	2322

prune989.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
52×	`log-prod`
46×	`add-sqr-sqrt`
40×	`add-cube-cbrt` `*-un-lft-identity`
39×	`times-frac`
38×	`div-exp`
28×	`add-cbrt-cube`
26×	`distribute-rgt-in` `distribute-lft-in`
17×	`prod-exp`
16×	`pow1`
15×	`associate-r`
12×	`associate-l`
9×	`cbrt-undiv` `log-pow`
8×	`pow-exp`
7×	`cbrt-unprod`
5×	`div-inv`
4×	`add-log-exp`
3×	`pow-flip` `log-rec` `pow-prod-down` `associate-/r` `-commutative` `associate-/l/` `inv-pow` `unswap-sqr`
2×	`pow-to-exp` `rec-exp` `1-exp` `distribute-rgt-neg-out`
1×	`distribute-lft-neg-out` `frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/l*`

Counts

4 → 158

Calls

4 calls:

5.0ms	(* (log (/ 1 a)) t)
8.0ms	(* y (log (/ 1 z)))
8.0ms	(* y (log (/ 1 z)))
224.0ms	(/ (* (/ x (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ (pow (/ 1 a) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series460.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (log (/ 1 a)) t)
38.0ms	(* y (log (/ 1 z)))
38.0ms	(* y (log (/ 1 z)))
323.0ms	(/ (* (/ x (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ (pow (/ 1 a) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify76.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	714	2134
1	3067	1785
2	5002	1716

prune653.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (/ 1 a)) t)
0.2b	(* y (log (/ 1 z)))
0.2b	(* y (log (/ 1 z)))
0.6b	(/ (/ x (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ y (/ (pow (/ 1 a) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

41051×	`times-frac`
15616×	`add-sqr-sqrt`
15610×	`add-cube-cbrt` `*-un-lft-identity`
9804×	`sqrt-prod`
7098×	`unpow-prod-down`
2451×	`exp-sum`
1030×	`div-inv`
546×	`sqr-pow`
374×	`associate-/r*`
76×	`add-exp-log`
54×	`div-exp`
52×	`log-prod`
31×	`add-cbrt-cube`
27×	`associate-/r/`
26×	`distribute-rgt-in` `distribute-lft-in`
25×	`associate-/l*`
16×	`pow1`
15×	`cbrt-undiv` `associate-r`
12×	`associate-l`
9×	`log-pow`
8×	`pow-exp`
4×	`add-log-exp`
3×	`pow-flip` `log-rec` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`
2×	`pow-to-exp` `rec-exp` `1-exp` `distribute-rgt-neg-out`
1×	`distribute-lft-neg-out` `frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 9901

Calls

4 calls:

5.0ms	(* (log (/ 1 a)) t)
8.0ms	(* y (log (/ 1 z)))
8.0ms	(* y (log (/ 1 z)))
386.0ms	(/ (/ x (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ y (/ (pow (/ 1 a) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))))

series471.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (log (/ 1 a)) t)
37.0ms	(* y (log (/ 1 z)))
38.0ms	(* y (log (/ 1 z)))
332.0ms	(/ (/ x (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ y (/ (pow (/ 1 a) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))))

simplify4.6s

Algorithm

egg-herbie

Counts

9913 → 9913

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	12070	564175

prune1.1m

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes268.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	59
1	44	59

end0.0ms

sample9.2s

Algorithm

intervals

Results

4.9s	46063×	body	80	nan
2.1s	15259×	body	80	valid