Details

sample275.0ms

Algorithm

intervals

Results

137.0ms	1535×	body	80	nan
58.0ms	499×	body	80	valid

simplify48.0ms

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

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:

0.2b	(* (- 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)

rewrite130.0ms

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))
33.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
79.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series377.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (- t 1.0) (log a))
36.0ms	(* y (log z))
116.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
165.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify57.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (48.0ms)

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

prune348.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)

rewrite153.0ms

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:

37.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
8.0ms	(* y (log (/ 1 z)))
5.0ms	(* (log (/ 1 a)) t)
99.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series536.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
46.0ms	(* y (log (/ 1 z)))
92.0ms	(* (log (/ 1 a)) t)
319.0ms	(/ (* 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 (53.0ms)

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

prune438.0ms

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 (+ (* 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) (* 1 (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-exp-log`
44×	`div-exp`
33×	`prod-exp`
29×	`add-sqr-sqrt`
26×	`log-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-cbrt-cube`
21×	`times-frac`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1` `pow-exp`
10×	`add-log-exp`
9×	`1-exp` `associate-r` `associate-l`
6×	`cbrt-undiv` `log-pow` `cbrt-unprod`
3×	`pow-to-exp` `rec-exp` `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` `frac-2neg` `associate-r/` `exp-sum` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l`

Counts

4 → 126

Calls

4 calls:

38.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
8.0ms	(* y (log (/ 1 z)))
5.0ms	(* (log (/ 1 a)) t)
269.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (* 1 (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series714.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
37.0ms	(* y (log (/ 1 z)))
61.0ms	(* (log (/ 1 a)) t)
530.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (* 1 (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify83.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	797	1469
1	3190	1216
2	5003	1134

prune412.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite830.0ms

Algorithm

rewrite-expression-head

Rules

219×	`add-exp-log`
132×	`div-exp`
94×	`prod-exp`
48×	`add-cbrt-cube`
36×	`pow-exp`
27×	`1-exp`
18×	`cbrt-undiv`
14×	`add-sqr-sqrt`
13×	`cbrt-unprod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-to-exp` `rec-exp` `times-frac` `associate-/r*`
8×	`pow1`
6×	`associate-l`
4×	`add-log-exp`
3×	`frac-2neg` `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 → 148

Calls

4 calls:

5.0ms	(* (log (/ 1 a)) t)
272.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (* 1 (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)
274.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (* 1 (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)
271.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (* 1 (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (log (/ 1 a)) t)
349.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (* 1 (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)
341.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (* 1 (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)
345.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (* 1 (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify78.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	599	2725
1	2340	2156
2	5001	1982

prune653.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes195.0ms

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

sample8.3s

Algorithm

intervals

Results

4.2s	46351×	body	80	nan
1.9s	15219×	body	80	valid