Details

sample177.0ms

Algorithm

intervals

Results

74.0ms	1448×	body	80	nan
29.0ms	506×	body	80	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

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)
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite34.0ms

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:

7.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
11.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
7.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series373.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (- t 1.0) (log a))
36.0ms	(* y (log z))
165.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
113.0ms	(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

prune353.0ms

Pruning

5 alts after pruning (4 fresh and 1 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)))))
0.3b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
0.5b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite72.0ms

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:

28.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
6.0ms	(* y (log (/ 1 z)))
5.0ms	(* (log (/ 1 a)) t)
23.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series758.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
37.0ms	(* y (log (/ 1 z)))
62.0ms	(* (log (/ 1 a)) t)
329.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify46.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1077	2667
1	5001	2317

prune794.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 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)))))
0.3b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
0.5b	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
122×	`add-exp-log`
101×	`add-sqr-sqrt`
94×	`associate-r`
81×	`*-un-lft-identity`
80×	`add-cube-cbrt`
69×	`prod-exp`
56×	`div-exp`
55×	`unpow-prod-down`
34×	`add-cbrt-cube`
26×	`log-prod`
20×	`pow-exp`
19×	`pow1`
17×	`exp-sum`
14×	`cbrt-unprod`
13×	`distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `associate-l`
8×	`div-inv` `unswap-sqr`
6×	`cbrt-undiv` `pow-prod-down` `log-pow`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-r/` `-commutative` `add-log-exp`
2×	`pow-flip` `log-rec` `inv-pow`
1×	`distribute-lft-neg-out` `frac-times` `associate-*l/` `un-div-inv` `distribute-rgt-neg-out`

Counts

4 → 236

Calls

4 calls:

31.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
7.0ms	(* y (log (/ 1 z)))
4.0ms	(* (log (/ 1 a)) t)
23.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

series768.0ms

Counts

4 → 12

Calls

4 calls:

336.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
43.0ms	(* y (log (/ 1 z)))
64.0ms	(* (log (/ 1 a)) t)
324.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

simplify59.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1291	3345
1	5002	2893

prune878.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
0.3b	(* (log (/ 1 a)) t)
0.5b	(/ (* (* x (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-exp-log`
48×	`div-exp`
39×	`prod-exp` `add-cbrt-cube`
32×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `log-prod` `*-un-lft-identity`
21×	`times-frac`
16×	`pow1`
15×	`associate-l`
13×	`distribute-rgt-in` `distribute-lft-in` `cbrt-unprod`
12×	`cbrt-undiv` `associate-r`
9×	`pow-to-exp` `pow-exp` `log-pow`
4×	`add-log-exp`
3×	`pow-flip` `associate-r/` `log-rec` `pow-prod-down` `associate-/r` `*-commutative` `div-inv` `associate-/l/` `inv-pow` `unswap-sqr`
2×	`distribute-lft-neg-out`
1×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `distribute-rgt-neg-out` `associate-/l`

Counts

4 → 140

Calls

4 calls:

7.0ms	(* y (log (/ 1 z)))
5.0ms	(* (log (/ 1 a)) t)
5.0ms	(* (log (/ 1 a)) t)
47.0ms	(/ (* (* x (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series517.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* y (log (/ 1 z)))
64.0ms	(* (log (/ 1 a)) t)
62.0ms	(* (log (/ 1 a)) t)
353.0ms	(/ (* (* x (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (pow (sqrt (/ 1 a)) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify85.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	765	2530
1	3456	1695
2	5001	1534

prune762.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes377.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.2s	45159×	body	80	nan
895.0ms	15096×	body	80	valid