Details

sample196.0ms

Algorithm

intervals

Results

86.0ms	1635×	body	80	nan
31.0ms	509×	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: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite121.0ms

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:

10.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
31.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
74.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series392.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (- t 1.0) (log a))
38.0ms	(* y (log z))
117.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
176.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (45.0ms)

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

prune361.0ms

Pruning

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

rewrite254.0ms

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:

140.0ms	(* 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)
92.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series787.0ms

Counts

4 → 12

Calls

4 calls:

341.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
45.0ms	(* y (log (/ 1 z)))
58.0ms	(* (log (/ 1 a)) t)
343.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify56.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1077	2667
1	5002	2322

prune826.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (/ 1 a)) t)
0.3b	(* (log (/ 1 a)) t)
0.3b	(* (log (/ 1 a)) t)
1.0b	(/ (* (* x (/ (pow (/ 1 a) (/ 1.0 2)) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ (pow (/ 1 a) (/ 1.0 2)) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

607×	`add-exp-log`
323×	`div-exp`
234×	`prod-exp`
112×	`pow-exp`
44×	`add-cbrt-cube`
28×	`pow-to-exp` `rec-exp` `1-exp`
19×	`cbrt-unprod`
18×	`add-sqr-sqrt` `associate-l`
17×	`cbrt-undiv`
16×	`pow1`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r` `log-pow`
4×	`add-log-exp`
3×	`distribute-lft-neg-out` `pow-flip` `times-frac` `associate-r/` `log-rec` `pow-prod-down` `associate-/r` `*-commutative` `associate-/l/` `inv-pow` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `div-inv` `associate-/l`

Counts

4 → 194

Calls

4 calls:

5.0ms	(* (log (/ 1 a)) t)
6.0ms	(* (log (/ 1 a)) t)
4.0ms	(* (log (/ 1 a)) t)
279.0ms	(/ (* (* x (/ (pow (/ 1 a) (/ 1.0 2)) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ (pow (/ 1 a) (/ 1.0 2)) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series541.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (log (/ 1 a)) t)
65.0ms	(* (log (/ 1 a)) t)
65.0ms	(* (log (/ 1 a)) t)
348.0ms	(/ (* (* x (/ (pow (/ 1 a) (/ 1.0 2)) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ (pow (/ 1 a) (/ 1.0 2)) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify118.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	1230	5837
1	3656	5024
2	5001	4811

prune597.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (/ 1 a)) t)
0.3b	(* (log (/ 1 a)) t)
0.3b	(* (log (/ 1 a)) t)
1.2b	(/ (* x (/ (pow (/ 1 a) (/ 1.0 2)) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ y (/ (pow (/ 1 a) (/ 1.0 2)) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

2204×	`times-frac`
810×	`add-sqr-sqrt`
804×	`add-cube-cbrt` `*-un-lft-identity`
664×	`add-exp-log`
546×	`unpow-prod-down`
450×	`div-exp`
408×	`cbrt-prod`
374×	`associate-/r*`
155×	`prod-exp`
120×	`pow-exp`
102×	`exp-sum`
54×	`add-cbrt-cube`
51×	`div-inv`
42×	`sqr-pow`
30×	`cbrt-undiv` `pow-to-exp` `rec-exp` `1-exp`
18×	`associate-l`
16×	`pow1`
15×	`cbrt-unprod`
9×	`associate-r` `log-pow`
4×	`add-log-exp`
3×	`distribute-lft-neg-out` `pow-flip` `log-rec` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/l/` `associate-/l`

Counts

4 → 951

Calls

4 calls:

5.0ms	(* (log (/ 1 a)) t)
4.0ms	(* (log (/ 1 a)) t)
4.0ms	(* (log (/ 1 a)) t)
157.0ms	(/ (* x (/ (pow (/ 1 a) (/ 1.0 2)) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ y (/ (pow (/ 1 a) (/ 1.0 2)) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (log (/ 1 a)) t)
63.0ms	(* (log (/ 1 a)) t)
55.0ms	(* (log (/ 1 a)) t)
334.0ms	(/ (* x (/ (pow (/ 1 a) (/ 1.0 2)) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (/ y (/ (pow (/ 1 a) (/ 1.0 2)) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))))

simplify580.0ms

Algorithm

egg-herbie

Counts

963 → 963

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5001	46082

prune5.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	15
1	31	15

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.3s	45972×	body	80	nan
932.0ms	15167×	body	80	valid