Details

sample193.0ms

Algorithm

intervals

Results

82.0ms	1606×	body	80	nan
29.0ms	488×	body	80	valid

simplify59.0ms

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

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite33.0ms

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:

7.0ms	(* (- t 1.0) (log a))
5.0ms	(* y (log z))
7.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
11.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series388.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (- t 1.0) (log a))
36.0ms	(* y (log z))
115.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
178.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (51.0ms)

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

prune372.0ms

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)))
0.2b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
1.5b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite45.0ms

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:

9.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
7.0ms	(* y (log (/ 1 z)))
5.0ms	(* (log (/ 1 a)) t)
21.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series519.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
37.0ms	(* y (log (/ 1 z)))
62.0ms	(* (log (/ 1 a)) t)
334.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify75.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (63.0ms)

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

prune457.0ms

Pruning

5 alts after pruning (4 fresh and 1 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)))
0.2b	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
6.5b	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

3067×	`times-frac`
1238×	`add-sqr-sqrt`
1234×	`add-cube-cbrt` `*-un-lft-identity`
728×	`unpow-prod-down`
239×	`exp-sum`
146×	`div-inv`
72×	`associate-/l*`
56×	`sqr-pow`
43×	`add-exp-log`
37×	`div-exp`
26×	`log-prod`
20×	`add-cbrt-cube`
13×	`distribute-rgt-in` `distribute-lft-in` `associate-/r*`
12×	`pow1`
10×	`add-log-exp`
9×	`associate-r` `associate-l`
8×	`cbrt-undiv` `pow-exp`
6×	`log-pow`
3×	`exp-prod` `sum-log` `rem-exp-log`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `log-rec` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`
1×	`distribute-lft-neg-out` `frac-2neg` `clear-num` `associate-/r/` `distribute-rgt-neg-out` `associate-/l/`

Counts

4 → 1135

Calls

4 calls:

9.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
6.0ms	(* y (log (/ 1 z)))
4.0ms	(* (log (/ 1 a)) t)
47.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

series886.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))
37.0ms	(* y (log (/ 1 z)))
60.0ms	(* (log (/ 1 a)) t)
701.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (/ y x))

simplify289.0ms

Algorithm

egg-herbie

Counts

1147 → 1147

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5001	32428

prune5.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

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)
1.8b	(* (/ (/ (pow (/ (sqrt 1) 1) 1.0) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y) (/ (/ (pow (/ (sqrt 1) a) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 x)))

rewrite3.4s

Algorithm

rewrite-expression-head

Rules

10627×	`times-frac`
5672×	`add-sqr-sqrt`
3761×	`*-un-lft-identity`
3352×	`add-cube-cbrt`
2612×	`unpow-prod-down`
2432×	`associate-r`
1552×	`add-exp-log`
1550×	`cbrt-prod`
1138×	`sqrt-prod`
1125×	`div-exp`
443×	`unswap-sqr`
360×	`prod-exp`
338×	`exp-sum`
298×	`div-inv`
222×	`pow-exp`
200×	`sqr-pow`
112×	`associate-l`
102×	`1-exp`
94×	`add-cbrt-cube`
90×	`pow-to-exp`
60×	`rec-exp`
57×	`cbrt-undiv`
28×	`cbrt-unprod`
18×	`pow1`
9×	`log-pow`
4×	`pow-prod-down` `*-commutative` `add-log-exp`
3×	`distribute-lft-neg-out` `pow-flip` `log-rec` `inv-pow`
1×	`frac-times` `associate-r/` `associate-l/` `associate-/r/`

Counts

4 → 3307

Calls

4 calls:

12.0ms	(* (log (/ 1 a)) t)
5.0ms	(* (log (/ 1 a)) t)
5.0ms	(* (log (/ 1 a)) t)
2.8s	(* (/ (/ (pow (/ (sqrt 1) 1) 1.0) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y) (/ (/ (pow (/ (sqrt 1) a) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 x)))

series710.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (log (/ 1 a)) t)
62.0ms	(* (log (/ 1 a)) t)
58.0ms	(* (log (/ 1 a)) t)
528.0ms	(* (/ (/ (pow (/ (sqrt 1) 1) 1.0) (* (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y) (/ (/ (pow (/ (sqrt 1) a) 1.0) (cbrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 x)))

simplify1.5s

Algorithm

egg-herbie

Counts

3319 → 3319

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5096	168972

prune24.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes301.0ms

Accuracy

78.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.3b

bsearch292.0ms

Steps

Iters	Range		Point
7	8.178676301939144e-63	1.4707024807882879e-61	1.5425356326335134e-62
7	-8.720572081657232e+74	-1.9846701566986275e+73	-8.952696672700544e+73

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	29
1	42	29

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.2s	45493×	body	80	nan
912.0ms	15130×	body	80	valid