Details

sample291.0ms

Algorithm

intervals

Results

145.0ms	1535×	body	80	nan
62.0ms	499×	body	80	valid

simplify53.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite123.0ms

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))
30.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
76.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series383.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- t 1.0) (log a))
42.0ms	(* y (log z))
114.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
172.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (45.0ms)

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

prune364.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
0.3b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
1.1b	(/ (* 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:

33.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
8.0ms	(* y (log (/ 1 z)))
5.0ms	(* (log (/ 1 a)) t)
95.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series528.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
45.0ms	(* y (log (/ 1 z)))
58.0ms	(* (log (/ 1 a)) t)
337.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify68.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (56.0ms)

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

prune443.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b)))
0.3b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
29×	`add-sqr-sqrt`
26×	`log-prod` `*-un-lft-identity`
25×	`add-cube-cbrt`
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` `exp-prod` `pow-exp` `cbrt-unprod`
3×	`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/` `distribute-lft-out` `associate-/l`

Counts

4 → 114

Calls

4 calls:

48.0ms	(exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b)))
7.0ms	(* y (log (/ 1 z)))
4.0ms	(* (log (/ 1 a)) t)
127.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b))))) y)

series721.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b)))
38.0ms	(* y (log (/ 1 z)))
262.0ms	(* (log (/ 1 a)) t)
334.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	647	1262
1	2739	1030
2	5001	985

prune421.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (/ 1 a)) t)
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b))))) y)
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b))))) y)
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
48×	`div-exp`
33×	`add-cbrt-cube`
22×	`prod-exp`
14×	`add-sqr-sqrt`
12×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `pow-exp`
9×	`times-frac` `associate-/r*`
8×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
4×	`add-log-exp`
3×	`pow-to-exp` `rec-exp` `frac-2neg` `1-exp` `associate-r/` `associate-r` `clear-num` `log-pow` `div-inv` `associate-/l/` `associate-/l`
1×	`distribute-lft-neg-out` `pow-flip` `log-rec` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

4.0ms	(* (log (/ 1 a)) t)
138.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b))))) y)
125.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b))))) y)
126.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b))))) y)

series1.0s

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (log (/ 1 a)) t)
326.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b))))) y)
322.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b))))) y)
333.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* 1 (* y (log (/ 1 z)))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	447	2011
1	1844	1532
2	5001	1442

prune624.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes180.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	32	15
2	32	15

end0.0ms

sample8.6s

Algorithm

intervals

Results

4.3s	46351×	body	80	nan
1.9s	15219×	body	80	valid