Details

sample209.0ms

Algorithm

intervals

Results

75.0ms	1571×	body	80	nan
27.0ms	484×	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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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

rewrite293.0ms

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:

25.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
75.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
182.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series361.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- t 1.0) (log a))
35.0ms	(* y (log z))
112.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
159.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (46.0ms)

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

prune376.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite324.0ms

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:

81.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
15.0ms	(* y (log (/ 1 z)))
11.0ms	(* (log (/ 1 a)) t)
213.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series495.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
39.0ms	(* y (log (/ 1 z)))
54.0ms	(* (log (/ 1 a)) t)
322.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify69.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (57.0ms)

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

prune451.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow (/ 1 a) 1.0) (cbrt (pow (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y)) 3))))
0.4b	(* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))
0.7b	(* (pow (/ 1 a) t) (exp b))
1.2b	(/ (* x (/ (pow (/ 1 a) 1.0) (cbrt (pow (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y)) 3)))) y)

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
211×	`associate-r`
199×	`add-sqr-sqrt`
198×	`unpow-prod-down`
151×	`*-un-lft-identity`
147×	`add-cube-cbrt`
146×	`cbrt-prod`
143×	`add-exp-log`
98×	`prod-exp`
64×	`pow-exp`
52×	`div-exp`
39×	`sqr-pow`
23×	`add-cbrt-cube`
21×	`associate-l` `unswap-sqr`
17×	`cube-mult` `unpow3` `cube-prod`
16×	`pow-to-exp` `rec-exp` `1-exp`
15×	`div-inv`
8×	`cbrt-unprod`
6×	`pow1`
5×	`cbrt-undiv`
4×	`add-log-exp`
3×	`associate-/r` `-commutative`
2×	`associate-*r/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/l/` `associate-/l*`

Counts

4 → 368

Calls

4 calls:

110.0ms	(* x (/ (pow (/ 1 a) 1.0) (cbrt (pow (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y)) 3))))
62.0ms	(* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))
32.0ms	(* (pow (/ 1 a) t) (exp b))
36.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (cbrt (pow (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y)) 3)))) y)

series880.0ms

Counts

4 → 12

Calls

4 calls:

355.0ms	(* x (/ (pow (/ 1 a) 1.0) (cbrt (pow (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y)) 3))))
122.0ms	(* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))
49.0ms	(* (pow (/ 1 a) t) (exp b))
354.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (cbrt (pow (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y)) 3)))) y)

simplify74.0ms

Algorithm

egg-herbie

Counts

380 → 380

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1705	5035
1	5001	4711

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))
0.7b	(* (pow (/ 1 a) t) (exp b))
0.9b	(/ x (* (/ y (pow (/ 1 a) 1.0)) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))))
4.8b	(* (/ y (pow (/ 1 a) 1.0)) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y)))

rewrite553.0ms

Algorithm

rewrite-expression-head

Rules

2705×	`add-exp-log`
1778×	`prod-exp`
1382×	`div-exp`
1128×	`pow-exp`
282×	`pow-to-exp` `rec-exp` `1-exp`
101×	`times-frac`
75×	`add-sqr-sqrt`
73×	`associate-l`
68×	`unpow-prod-down`
66×	`*-un-lft-identity`
65×	`add-cube-cbrt`
61×	`add-cbrt-cube`
28×	`cbrt-unprod`
21×	`associate-r`
13×	`cbrt-undiv`
7×	`div-inv`
6×	`pow1` `sqr-pow`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`-commutative` `associate-/l`
2×	`associate-*l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `associate-/r/`

Counts

4 → 810

Calls

4 calls:

61.0ms	(* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))
29.0ms	(* (pow (/ 1 a) t) (exp b))
170.0ms	(/ x (* (/ y (pow (/ 1 a) 1.0)) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))))
191.0ms	(* (/ y (pow (/ 1 a) 1.0)) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y)))

series832.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))
57.0ms	(* (pow (/ 1 a) t) (exp b))
352.0ms	(/ x (* (/ y (pow (/ 1 a) 1.0)) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y))))
291.0ms	(* (/ y (pow (/ 1 a) 1.0)) (* (* (pow (/ 1 a) t) (exp b)) (pow (/ 1 z) y)))

simplify129.0ms

Algorithm

egg-herbie

Counts

822 → 822

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	2801	10787
1	5002	9739

prune833.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes200.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.2s	45341×	body	80	nan
890.0ms	15369×	body	80	valid