Herbie run

Date:Sunday, March 2nd, 2025
Commit:141e80a8 on main
Seed:2025061
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionsreduce:simplifysetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default
Memory:241 333.3 MB

Time bar (total: 3.4min)

sample1.4min (41.8%)

Memory
1 614.8MiB live, 102 099.1MiB allocated; 30.0s collecting garbage
Samples
35.6s224 623×0valid
9.6s65 392×0invalid
7.8s23 506×1valid
4.4s13 469×1invalid
4.1s9 662×2valid
3.4s6 396×3valid
735.0ms1 648×2invalid
31.0ms253×0exit
2.0ms5×4valid
1.0ms2×5exit
Precisions
Click to see histograms. Total time spent on operations: 51.4s
ival-mult: 14.5s (28.2% of total)
ival-div: 7.2s (14% of total)
adjust: 3.9s (7.5% of total)
ival-sub: 3.8s (7.4% of total)
ival-exp: 3.0s (5.8% of total)
ival-add: 2.9s (5.6% of total)
ival-pow2: 2.6s (5.1% of total)
ival-pow: 2.5s (4.8% of total)
ival-sqrt: 2.4s (4.7% of total)
ival-sin: 2.0s (3.8% of total)
ival-cos: 1.3s (2.6% of total)
ival-tan: 1.1s (2.2% of total)
ival-acos: 1.1s (2.2% of total)
ival-neg: 632.0ms (1.2% of total)
exact: 418.0ms (0.8% of total)
ival-pi: 417.0ms (0.8% of total)
ival-hypot: 411.0ms (0.8% of total)
ival-log: 344.0ms (0.7% of total)
ival-asin: 242.0ms (0.5% of total)
ival-tanu: 207.0ms (0.4% of total)
ival-assert: 124.0ms (0.2% of total)
const: 124.0ms (0.2% of total)
ival-atan: 100.0ms (0.2% of total)
ival-fabs: 48.0ms (0.1% of total)
ival-<: 1.0ms (0% of total)
ival-and: 1.0ms (0% of total)
Bogosity

rewrite29.6s (14.3%)

Memory
-50.2MiB live, 29 458.9MiB allocated; 10.3s collecting garbage
Stop Event
300×iter limit
123×node limit
5×unsound
Counts
28 940 → 47 113

regimes15.8s (7.6%)

Memory
75.7MiB live, 19 573.2MiB allocated; 5.2s collecting garbage
Counts
8 909 → 748
Calls

156 calls:

935.0ms
th
766.0ms
l
734.0ms
c0
661.0ms
t
550.0ms
k
Compiler

Compiled 12 791 to 13 010 computations (-1.7% saved)

series13.2s (6.4%)

Memory
365.6MiB live, 16 795.2MiB allocated; 3.6s collecting garbage
Counts
4 613 → 24 327
Calls

1200 calls:

TimeVariablePointExpression
377.0ms
f
@inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ (* (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) -4) (PI)) (* (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) -4) (- (log (cosh (* (* f (PI)) -1/4))) (log (sinh (* (* 1/4 f) (PI))))) (log (cosh (* (* f (PI)) -1/4))) (cosh (* (* f (PI)) -1/4)) (* (* f (PI)) -1/4) (* f (PI)) f (PI) -1/4 (log (sinh (* (* 1/4 f) (PI)))) (sinh (* (* 1/4 f) (PI))) (* (* 1/4 f) (PI)) (* 1/4 f) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (* (* (PI) 1/12) f) (* (PI) 1/12) 1/12 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (- (log 2) (log (* (* 1/2 (PI)) f))) (log 2) 2 (log (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (neg (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ 4 (PI))))) (log (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ 4 (PI)))) (pow (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ 4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (+ (* (* (* 1/12 (PI)) f) f) (/ 4 (PI))) (* (* 1/12 (PI)) f) (* 1/12 (PI)) (/ 4 (PI)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (+ (/ (log 2) (PI)) (/ (log (/ (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* 1/4 f) (PI)))) 2)) (PI))) -4) (+ (/ (log 2) (PI)) (/ (log (/ (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* 1/4 f) (PI)))) 2)) (PI))) (/ (log 2) (PI)) (/ (log (/ (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* 1/4 f) (PI)))) 2)) (PI)) (log (/ (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* 1/4 f) (PI)))) 2)) (/ (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* 1/4 f) (PI)))) 2) (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* 1/4 f) (PI)))))
259.0ms
f
@inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) 2 (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (/ 2 (PI)) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) (/ (PI) (* (PI) 1/2)) 0 (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f) (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2))) -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)) (* (pow (PI) 3) 1/192) (pow (PI) 3) 3 1/192 (pow (* (PI) 1/2) 2) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (pow (/ (PI) 4) -1)))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (pow (/ (PI) 4) -1))) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (sinh (* f (/ (PI) 4))) (neg (pow (/ (PI) 4) -1)) (pow (/ (PI) 4) -1) -1 (neg (* (/ 1 (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2))) (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) (/ (sqrt (PI)) 2) (sqrt (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
233.0ms
U*
@0
((sqrt (* (* n 2) (* U (- (+ (* -2 (* l (/ l Om))) t) (* (- U U*) (* (pow (/ l Om) 2) n)))))) (* (* n 2) (* U (- (+ (* -2 (* l (/ l Om))) t) (* (- U U*) (* (pow (/ l Om) 2) n))))) (* n 2) n 2 (* U (- (+ (* -2 (* l (/ l Om))) t) (* (- U U*) (* (pow (/ l Om) 2) n)))) U (- (+ (* -2 (* l (/ l Om))) t) (* (- U U*) (* (pow (/ l Om) 2) n))) (+ (* -2 (* l (/ l Om))) t) -2 (* l (/ l Om)) l (/ l Om) Om t (* (- U U*) (* (pow (/ l Om) 2) n)) (- U U*) U* (* (pow (/ l Om) 2) n) (pow (/ l Om) 2) (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*)))) (* (* (* t n) U) 2) (* (* t n) U) (* t n) (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*)))) (+ (* (/ (* (* (* l l) n) U) Om) -4) (* (* (* t n) U) 2)) (/ (* (* (* l l) n) U) Om) (* (* (* l l) n) U) (* (* l l) n) (* l l) -4 (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))) (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*)))) (* (+ (* (/ (* (* (* l l) U) (* (- U U*) n)) (* Om Om)) -2) (* (* (+ (* -2 (* l (/ l Om))) t) U) 2)) n) (+ (* (/ (* (* (* l l) U) (* (- U U*) n)) (* Om Om)) -2) (* (* (+ (* -2 (* l (/ l Om))) t) U) 2)) (/ (* (* (* l l) U) (* (- U U*) n)) (* Om Om)) (* (* (* l l) U) (* (- U U*) n)) (* (* l l) U) (* (- U U*) n) (* Om Om) (* (* (+ (* -2 (* l (/ l Om))) t) U) 2) (* (+ (* -2 (* l (/ l Om))) t) U) (* (sqrt (* (* U n) 2)) (sqrt (- (+ (* -2 (* l (/ l Om))) t) (* (- U U*) (* (pow (/ l Om) 2) n))))) (sqrt (* (* U n) 2)) (* (* U n) 2) (* U n) (sqrt (- (+ (* -2 (* l (/ l Om))) t) (* (- U U*) (* (pow (/ l Om) 2) n)))))
226.0ms
h
@0
((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) (* (sqrt (/ d l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (* (pow (* D M) 2) h) (* (* d d) l)) -1/8) (/ (* (pow (* D M) 2) h) (* (* d d) l)) (* (pow (* D M) 2) h) (pow (* D M) 2) (* D M) (* (* d d) l) (* d d) -1/8 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (* (pow (* (/ d h) (/ d l)) 1/2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) 3 (/ (pow (* D M) 2) d))
196.0ms
f
@-inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) 2 (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (/ 2 (PI)) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) (/ (PI) (* (PI) 1/2)) 0 (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f) (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2))) -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)) (* (pow (PI) 3) 1/192) (pow (PI) 3) 3 1/192 (pow (* (PI) 1/2) 2) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (pow (/ (PI) 4) -1)))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (pow (/ (PI) 4) -1))) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (sinh (* f (/ (PI) 4))) (neg (pow (/ (PI) 4) -1)) (pow (/ (PI) 4) -1) -1 (neg (* (/ 1 (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2))) (* (/ (sqrt (PI)) 2) (/ (sqrt (PI)) 2)) (/ (sqrt (PI)) 2) (sqrt (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

analyze11.7s (5.7%)

Memory
-89.1MiB live, 12 230.5MiB allocated; 6.0s collecting garbage
Algorithm
32×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%98.2%1.8%0%0%0%0
22.2%21.8%76.4%1.8%0%0%0%1
22.6%21.8%74.8%1.8%0%1.6%0%2
28.6%26.5%66.3%1.8%0%5.5%0%3
32.6%29.6%61.2%1.8%0%7.4%0%4
35.8%32.3%58%1.8%0%8%0%5
40.1%36.1%54%1.8%0%8.1%0%6
45.5%40.6%48.7%1.8%0%8.9%0%7
47.9%42.1%45.8%1.8%0%10.3%0%8
51%44.6%43%1.8%0%10.6%0%9
52.1%45.5%41.8%1.8%0%11%0%10
53.9%46.7%40%1.8%0%11.5%0%11
55.6%47.9%38.2%1.8%0%12.1%0%12
Compiler

Compiled 798 to 574 computations (28.1% saved)

derivations10.6s (5.1%)

Memory
-66.9MiB live, 9 177.9MiB allocated; 2.1s collecting garbage
Stop Event
30×fuel
2×done
Compiler

Compiled 33 366 to 4 171 computations (87.5% saved)

preprocess9.5s (4.6%)

Memory
362.0MiB live, 10 699.7MiB allocated; 1.9s collecting garbage
Stop Event
64×iter limit
62×node limit
2×saturated
Compiler

Compiled 83 789 to 17 431 computations (79.2% saved)

explain9.0s (4.3%)

Memory
-273.9MiB live, 13 327.5MiB allocated; 2.1s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64#fcancellation4590
sqrt.f64#foflow-rescue4550
cos.f64#fsensitivity4221
acos.f64(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))sensitivity2541
+.f64#fnan-rescue2400
*.f64#fn*o2350
sqrt.f64#fuflow-rescue1740
pow.f64#foflow-rescue1490
tan.f64(tan.f64 (*.f64 (PI.f64) l))sensitivity1271
asin.f64(asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64)))))))sensitivity1220
-.f64#fnan-rescue1180
*.f64#fu*o1100
/.f64#fo/o920
pow.f64(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64)))sensitivity9023
*.f64#fo*u620
pow.f64#fuflow-rescue600
/.f64#fo/n590
cos.f64(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))oflow-rescue530
↳(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))overflow53
↳(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)overflow53
↳(*.f64 K (+.f64 m n))overflow53
*.f64#fn*u510
+.f64#fcancellation510
/.f64#fu/u500
/.f64#fn/o410
/.f64#fn/u240
/.f64#fu/n150
log.f64(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))sensitivity100
exp.f64(exp.f64 (/.f64 (neg.f64 (-.f64 (-.f64 (-.f64 Ec Vef) EDonor) mu)) KbT))sensitivity10
Confusion
Predicted +Predicted -
+193643
-11445069
Precision
0.6285714285714286
Recall
0.9782718544719555
Confusion?
Predicted +Predicted MaybePredicted -
+1936142
-1144255044
Precision?
0.6236316806181584
Recall?
0.9787771601819101
Freqs
test
numberfreq
05112
12678
2363
336
43
Total Confusion?
Predicted +Predicted MaybePredicted -
+2600
-105
Precision?
0.9629629629629629
Recall?
1.0
Samples
2.1s13 258×0valid
763.0ms1 964×1valid
290.0ms736×2valid
240.0ms400×3valid
16.0ms26×5exit
Compiler

Compiled 7 569 to 1 655 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-mult: 488.0ms (20.1% of total)
ival-div: 351.0ms (14.5% of total)
ival-sub: 226.0ms (9.3% of total)
ival-add: 208.0ms (8.6% of total)
adjust: 200.0ms (8.3% of total)
ival-sin: 152.0ms (6.3% of total)
ival-sqrt: 133.0ms (5.5% of total)
ival-pow2: 107.0ms (4.4% of total)
ival-exp: 100.0ms (4.1% of total)
ival-cos: 98.0ms (4% of total)
ival-pow: 78.0ms (3.2% of total)
ival-pi: 48.0ms (2% of total)
ival-tan: 43.0ms (1.8% of total)
ival-log: 27.0ms (1.1% of total)
ival-acos: 27.0ms (1.1% of total)
ival-neg: 26.0ms (1.1% of total)
ival-hypot: 21.0ms (0.9% of total)
exact: 20.0ms (0.8% of total)
ival-true: 16.0ms (0.7% of total)
const: 12.0ms (0.5% of total)
ival-tanu: 11.0ms (0.5% of total)
ival-asin: 10.0ms (0.4% of total)
ival-assert: 8.0ms (0.3% of total)
ival-atan: 6.0ms (0.2% of total)
ival-fabs: 4.0ms (0.2% of total)

eval8.7s (4.2%)

Memory
-111.4MiB live, 12 628.7MiB allocated; 2.4s collecting garbage
Compiler

Compiled 2 841 377 to 257 432 computations (90.9% saved)

bsearch5.5s (2.7%)

Memory
-82.0MiB live, 5 520.5MiB allocated; 2.7s collecting garbage
Algorithm
207×binary-search
187×left-value
Stop Event
200×narrow-enough
7×predicate-same
Samples
2.1s14 154×0valid
252.0ms1 004×1valid
216.0ms1 966×0invalid
143.0ms363×2valid
86.0ms207×3valid
13.0ms63×1invalid
1.0ms2×2invalid
1.0ms1×5exit
Compiler

Compiled 135 798 to 91 914 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-mult: 494.0ms (23% of total)
ival-div: 301.0ms (14% of total)
ival-tan: 232.0ms (10.8% of total)
ival-add: 193.0ms (9% of total)
ival-sin: 154.0ms (7.2% of total)
ival-pow: 149.0ms (6.9% of total)
ival-sub: 142.0ms (6.6% of total)
ival-pow2: 124.0ms (5.8% of total)
adjust: 116.0ms (5.4% of total)
ival-neg: 58.0ms (2.7% of total)
ival-sqrt: 43.0ms (2% of total)
ival-exp: 38.0ms (1.8% of total)
ival-hypot: 21.0ms (1% of total)
ival-cos: 20.0ms (0.9% of total)
exact: 18.0ms (0.8% of total)
ival-true: 13.0ms (0.6% of total)
const: 9.0ms (0.4% of total)
ival-assert: 8.0ms (0.4% of total)
ival-tanu: 7.0ms (0.3% of total)
ival-fabs: 6.0ms (0.3% of total)
ival-atan: 4.0ms (0.2% of total)
ival-pi: 1.0ms (0% of total)

prune4.8s (2.3%)

Memory
333.6MiB live, 7 956.5MiB allocated; 1.0s collecting garbage
Counts
56 127 → 2 619
Compiler

Compiled 248 909 to 125 961 computations (49.4% saved)

simplify1.9s (0.9%)

Memory
89.3MiB live, 1 861.6MiB allocated; 285ms collecting garbage
Stop Event
31×node limit
1×saturated

start14.0ms (0%)

Memory
-39.4MiB live, 3.5MiB allocated; 14ms collecting garbage

end0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Profiling

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