Details

sample230.0ms

Algorithm

intervals

Results

103.0ms	1501×	body	80	nan
37.0ms	479×	body	80	valid

simplify50.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite125.0ms

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))
31.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
77.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series388.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- t 1.0) (log a))
38.0ms	(* y (log z))
116.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
171.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (46.0ms)

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

prune367.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
0.2b	(* (log (/ 1 a)) t)
0.3b	(* y (log (/ 1 z)))
1.2b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
29×	`add-sqr-sqrt`
26×	`log-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
17×	`add-cbrt-cube`
16×	`div-exp`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1`
10×	`add-log-exp`
9×	`associate-r` `associate-l` `prod-exp`
6×	`log-pow`
4×	`cbrt-undiv` `pow-exp` `cbrt-unprod`
3×	`exp-prod` `associate-/r*` `sum-log` `div-inv` `rem-exp-log`
2×	`pow-flip` `log-rec` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`
1×	`distribute-lft-neg-out` `pow-to-exp` `rec-exp` `frac-2neg` `1-exp` `associate-r/` `exp-sum` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l`

Counts

4 → 113

Calls

4 calls:

35.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
4.0ms	(* (log (/ 1 a)) t)
7.0ms	(* y (log (/ 1 z)))
94.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series540.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
62.0ms	(* (log (/ 1 a)) t)
45.0ms	(* y (log (/ 1 z)))
343.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	642	1214
1	2693	1003
2	5001	972

prune627.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* -1 (* (log z) y)) (+ (* (log (/ 1 a)) t) b)))
0.2b	(* (log (/ 1 a)) t)
0.3b	(* (log z) y)
1.2b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* -1 (* (log z) y)) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`div-exp`
15×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l` `add-log-exp`
9×	`prod-exp`
6×	`associate-r`
4×	`cbrt-undiv` `pow-exp` `log-pow` `cbrt-unprod`
3×	`exp-prod` `times-frac` `associate-/r*` `sum-log` `rem-exp-log`
2×	`pow-prod-down` `*-commutative` `unswap-sqr`
1×	`distribute-lft-neg-out` `pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `associate-r/` `exp-sum` `log-rec` `clear-num` `div-inv` `associate-/l/` `associate-/l` `inv-pow`

Counts

4 → 84

Calls

4 calls:

45.0ms	(exp (+ (* -1 (* (log z) y)) (+ (* (log (/ 1 a)) t) b)))
4.0ms	(* (log (/ 1 a)) t)
3.0ms	(* (log z) y)
114.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* -1 (* (log z) y)) (+ (* (log (/ 1 a)) t) b))))) y)

series552.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(exp (+ (* -1 (* (log z) y)) (+ (* (log (/ 1 a)) t) b)))
65.0ms	(* (log (/ 1 a)) t)
65.0ms	(* (log z) y)
326.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* -1 (* (log z) y)) (+ (* (log (/ 1 a)) t) b))))) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	528	951
1	2106	760
2	5002	728

prune361.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ 1 a) 1.0) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y)))
0.0b	(/ (/ (pow (/ 1 a) 1.0) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))) y)
0.4b	(* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))
1.5b	(* x (/ (/ (pow (/ 1 a) 1.0) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))) y))

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

3173×	`add-exp-log`
2044×	`div-exp`
1742×	`prod-exp`
1504×	`pow-exp`
376×	`pow-to-exp` `rec-exp` `1-exp`
353×	`times-frac`
141×	`add-sqr-sqrt`
136×	`add-cube-cbrt` `*-un-lft-identity`
130×	`unpow-prod-down`
84×	`associate-r`
52×	`add-cbrt-cube`
38×	`associate-/l*`
20×	`div-inv`
17×	`cbrt-undiv` `cbrt-unprod`
10×	`sqr-pow`
6×	`pow1`
4×	`associate-l` `associate-/r*` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`associate-*r/` `pow-prod-down` `associate-/l/`

Counts

4 → 1084

Calls

4 calls:

41.0ms	(/ (pow (/ 1 a) 1.0) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y)))
56.0ms	(/ (/ (pow (/ 1 a) 1.0) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))) y)
32.0ms	(* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))
132.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

325.0ms	(/ (pow (/ 1 a) 1.0) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y)))
357.0ms	(/ (/ (pow (/ 1 a) 1.0) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))) y)
133.0ms	(* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))
375.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))) y))

simplify176.0ms

Algorithm

egg-herbie

Counts

1096 → 1096

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	3113	14954
1	5002	13334

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes288.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	14
1	37	14
2	37	14

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.6s	45275×	body	80	nan
999.0ms	14960×	body	80	valid