Herbie run

Date:Saturday, December 28th, 2024
Commit:069a5cd4 on less-egraph
Seed:2024363
Parameters:256 points for 4 iterations
Flags:
localize:errorsreduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs
-o localize:costs-o setup:simplify-o generate:simplify
Memory:242 608.7 MB

Time bar (total: 3.3min)

sample1.3min (38%)

Memory
1 476.2MiB live, 96 330.9MiB allocated; 31.0s collecting garbage
Samples
31.4s284 721×0valid
15.7s44 094×1valid
7.7s17 501×2valid
437.0ms4 228×0invalid
281.0ms436×3valid
193.0ms202×5exit
143.0ms985×0exit
Precisions
Click to see histograms. Total time spent on operations: 42.0s
ival-mult: 9.3s (22.1% of total)
ival-add: 4.8s (11.4% of total)
adjust: 4.6s (10.9% of total)
ival-pow: 4.1s (9.8% of total)
ival-div: 3.4s (8.2% of total)
ival-sub: 3.2s (7.6% of total)
const: 2.7s (6.4% of total)
ival-<=: 2.6s (6.2% of total)
ival-sin: 1.9s (4.5% of total)
ival-cos: 1.4s (3.2% of total)
ival-exp: 1.0s (2.4% of total)
exact: 450.0ms (1.1% of total)
ival-sqrt: 428.0ms (1% of total)
ival-neg: 409.0ms (1% of total)
ival-and: 379.0ms (0.9% of total)
ival-pow2: 345.0ms (0.8% of total)
ival-==: 330.0ms (0.8% of total)
ival-true: 139.0ms (0.3% of total)
ival-assert: 138.0ms (0.3% of total)
ival-atan: 85.0ms (0.2% of total)
ival-log1p: 77.0ms (0.2% of total)
ival-expm1: 74.0ms (0.2% of total)
ival-tan: 72.0ms (0.2% of total)
ival-<: 71.0ms (0.2% of total)
ival-pi: 34.0ms (0.1% of total)
ival-hypot: 33.0ms (0.1% of total)
ival-if: 6.0ms (0% of total)
ival-fabs: 5.0ms (0% of total)
Bogosity

rewrite30.5s (15.3%)

Memory
396.6MiB live, 36 128.6MiB allocated; 10.0s collecting garbage
Stop Event
312×iter limit
148×node limit
13×saturated
unsound
Counts
1 688 → 70 505

localize21.8s (10.9%)

Memory
88.9MiB live, 28 102.0MiB allocated; 6.8s collecting garbage
Samples
7.4s29 968×0valid
5.6s6 278×1valid
4.0s3 036×2valid
184.0ms99×3valid
101.0ms53×5exit
36.0ms117×0exit
25.0ms125×0invalid
17.0ms4valid
Compiler

Compiled 47 601 to 4 359 computations (90.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.3s
ival-mult: 3.6s (27% of total)
adjust: 2.1s (15.9% of total)
ival-add: 1.9s (14.4% of total)
ival-div: 1.3s (9.9% of total)
ival-pow: 1.1s (8.3% of total)
ival-sub: 789.0ms (5.9% of total)
ival-exp: 578.0ms (4.4% of total)
const: 555.0ms (4.2% of total)
ival-pow2: 251.0ms (1.9% of total)
ival-sin: 236.0ms (1.8% of total)
ival-cos: 168.0ms (1.3% of total)
ival-tan: 153.0ms (1.2% of total)
ival-sqrt: 119.0ms (0.9% of total)
ival-neg: 82.0ms (0.6% of total)
ival-log: 73.0ms (0.5% of total)
exact: 63.0ms (0.5% of total)
ival-cosh: 60.0ms (0.5% of total)
ival-true: 31.0ms (0.2% of total)
ival-expm1: 26.0ms (0.2% of total)
ival-log1p: 24.0ms (0.2% of total)
ival-sinh: 20.0ms (0.2% of total)
ival-assert: 17.0ms (0.1% of total)
ival-atan: 10.0ms (0.1% of total)
ival-pi: 10.0ms (0.1% of total)
ival-atan2: 1.0ms (0% of total)

derivations18.7s (9.4%)

Memory
-452.9MiB live, 11 770.8MiB allocated; 4.1s collecting garbage
Stop Event
285×iter limit
98×node limit
29×fuel
13×done
saturated
unsound
Compiler

Compiled 17 944 to 2 309 computations (87.1% saved)

eval15.3s (7.7%)

Memory
-134.0MiB live, 20 757.7MiB allocated; 5.8s collecting garbage
Compiler

Compiled 3 565 800 to 305 056 computations (91.4% saved)

explain10.5s (5.3%)

Memory
-324.0MiB live, 13 762.6MiB allocated; 2.7s collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64#fcancellation12940
+.f64#fcancellation36482
-.f64(-.f64 (*.f64 #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) t) #s(literal 170000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))oflow-left2150
sqrt.f64#foflow-rescue2000
/.f64#fo/o1710
/.f64#fn/o1610
log.f64(log.f64 (+.f64 #s(literal 1 binary64) x))sensitivity1600
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1260
-.f64#fnan-rescue1030
/.f64#fu/n940
/.f64#fn/u640
+.f64(+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64))) #s(literal 3 binary64))) (*.f64 (*.f64 x1 x1) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))) #s(literal 6 binary64)))) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64))))) (*.f64 (*.f64 x1 x1) x1))nan-rescue460
(*.f64 x1 x1)overflow354
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64))) #s(literal 3 binary64))) (*.f64 (*.f64 x1 x1) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))) #s(literal 6 binary64)))) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))overflow120
(+.f64 (*.f64 x1 x1) #s(literal 1 binary64))overflow295
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64))) #s(literal 3 binary64)))overflow22
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2))overflow236
(-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1)overflow236
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64))) #s(literal 3 binary64))) (*.f64 (*.f64 x1 x1) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))) #s(literal 6 binary64))))overflow81
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64))))overflow59
(*.f64 (*.f64 #s(literal 3 binary64) x1) x1)overflow295
(*.f64 (*.f64 x1 x1) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))) #s(literal 6 binary64)))overflow59
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))) (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64))) #s(literal 3 binary64))) (*.f64 (*.f64 x1 x1) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))) #s(literal 6 binary64)))) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x1) x1) (*.f64 #s(literal 2 binary64) x2)) x1) (+.f64 (*.f64 x1 x1) #s(literal 1 binary64)))))overflow120
(*.f64 x1 x1)overflow59
(*.f64 (*.f64 x1 x1) x1)overflow86
/.f64#fu/u450
*.f64#fn*u360
/.f64#fo/n320
*.f64#fn*o290
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue210
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow29
(/.f64 i n)overflow21
(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow21
sqrt.f64#fuflow-rescue60
Confusion
Predicted +Predicted -
+3815219
-1396579
Precision
0.9648457258472433
Recall
0.9457114526524542
Confusion?
Predicted +Predicted MaybePredicted -
+381515366
-1391856394
Precision?
0.9245107176141659
Recall?
0.9836390679226574
Freqs
test
numberfreq
06798
13515
2390
349
Total Confusion?
Predicted +Predicted MaybePredicted -
+3010
-209
Precision?
0.9393939393939394
Recall?
1.0
Samples
2.5s16 310×0valid
1.4s3 710×1valid
638.0ms1 450×2valid
29.0ms34×3valid
Compiler

Compiled 7 535 to 1 486 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-neg: 896.0ms (26.2% of total)
ival-mult: 665.0ms (19.5% of total)
adjust: 532.0ms (15.6% of total)
ival-add: 302.0ms (8.8% of total)
ival-div: 266.0ms (7.8% of total)
ival-pow: 214.0ms (6.3% of total)
ival-sub: 169.0ms (4.9% of total)
ival-sin: 105.0ms (3.1% of total)
ival-cos: 76.0ms (2.2% of total)
const: 46.0ms (1.3% of total)
ival-exp: 42.0ms (1.2% of total)
ival-sqrt: 21.0ms (0.6% of total)
ival-true: 18.0ms (0.5% of total)
exact: 18.0ms (0.5% of total)
ival-pow2: 15.0ms (0.4% of total)
ival-assert: 9.0ms (0.3% of total)
ival-log1p: 8.0ms (0.2% of total)
ival-atan: 5.0ms (0.1% of total)
ival-expm1: 5.0ms (0.1% of total)
ival-tan: 4.0ms (0.1% of total)
ival-pi: 2.0ms (0.1% of total)

regimes4.7s (2.3%)

Memory
117.0MiB live, 6 500.9MiB allocated; 924ms collecting garbage
Counts
4 146 → 467
Calls

96 calls:

669.0ms
x
267.0ms
c
226.0ms
a
222.0ms
b
213.0ms
(*.f64 (cos.f64 x) (exp.f64 (*.f64 #s(literal 10 binary64) (*.f64 x x))))
Compiler

Compiled 6 888 to 4 769 computations (30.8% saved)

prune4.6s (2.3%)

Memory
-79.4MiB live, 7 883.1MiB allocated; 1.1s collecting garbage
Counts
78 388 → 1 818
Compiler

Compiled 132 464 to 55 927 computations (57.8% saved)

analyze4.3s (2.2%)

Memory
-150.2MiB live, 5 701.5MiB allocated; 2.0s collecting garbage
Algorithm
43×search
random
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%54.5%45.5%0%0%0%0
21.4%11.7%42.9%45.5%0%0%0%1
37.4%20.4%34.1%45.5%0%0%0%2
48.7%26.2%27.7%45.5%0%0.6%0%3
57.7%30.7%22.6%45.5%0%1.2%0%4
71.2%37.7%15.3%45.5%0%1.6%0%5
72.9%38.4%14.3%45.5%0%1.8%0%6
77.9%40.7%11.6%45.5%0%2.2%0%7
81.5%42.6%9.7%45.5%0%2.3%0%8
84.1%43.8%8.3%45.5%0%2.5%0%9
86.2%44.6%7.2%45.5%0%2.7%0%10
88.2%45.6%6.1%45.5%0%2.8%0%11
89.1%45.9%5.6%45.5%0%2.9%0%12
Compiler

Compiled 1 402 to 721 computations (48.6% saved)

series4.3s (2.2%)

Memory
357.7MiB live, 5 558.0MiB allocated; 2.6s collecting garbage
Counts
1 688 → 9 341
Calls

900 calls:

TimeVariablePointExpression
371.0ms
t
@0
((* (exp (* (log t) 2)) 1/25000000000000000000000000000000) (exp (* (log t) 2)) (log t) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (+ (+ (* 1/2500000000000000 t) -1) (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000)))) (+ (* 1/2500000000000000 t) -1) (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (+ (+ (* 1/2500000000000000 t) -1) (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000)))) (* 1/1250000000000000 t) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) -1) (+ (* t 1/2500000000000000) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) -1)) (* (* (* t t) 1/5000000000000000) 1/5000000000000000) (* (* t t) 1/5000000000000000) (+ (* (+ 1 (* t 1/5000000000000000)) (+ 1 (* t 1/5000000000000000))) (- -1 (* 2 (* t 1/5000000000000000)))) (* t t))
341.0ms
c
@inf
((sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (/ b a) -1/2) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a))) (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (+ (* (* -4 c) a) (* b b)) (/ (+ (neg b) (exp (* (log (pow (+ (* c (* a 4)) (* b b)) 2)) 1/4))) (* 2 a)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* -1 (/ c b)) (/ b a)) (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))) (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (pow (+ (* (* -4 c) a) (* b b)) 1/4) (+ (* (/ (pow (+ (* (* -4 c) a) (* b b)) 1/4) a) (/ (pow (+ (* (* -4 c) a) (* b b)) 1/4) 2)) (* -1/2 (/ b a))) (/ (pow (+ (* (* -4 c) a) (* b b)) 1/4) a))
67.0ms
a
@0
((sqrt (+ (* (* c a) -4) (* b b))) (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (+ (* (* c a) -4) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* -1 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* a c) b) (* -2 (/ (* a c) b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ c (pow b 2)) (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)) (log (pow (+ (* c (* a 4)) (* b b)) 2)) (+ (neg b) (exp (* (log (pow (+ (* c (* a 4)) (* b b)) 2)) 1/4))) (exp (* (log (pow (+ (* c (* a 4)) (* b b)) 2)) 1/4)) (/ (+ (neg b) (exp (* (log (pow (+ (* c (* a 4)) (* b b)) 2)) 1/4))) (* 2 a)))
66.0ms
x
@0
((- (* (pow (/ 729 (+ (* (pow (* y x) 4) 9) (+ (* 81 (pow x 8)) (pow y 8)))) 3/2) (pow x 18)) (pow (/ (pow y 12) (+ (* (pow (* y x) 4) 9) (+ (* 81 (pow x 8)) (pow y 8)))) 3/2)) (* (pow (/ 729 (+ (* (pow (* y x) 4) 9) (+ (* 81 (pow x 8)) (pow y 8)))) 3/2) (pow x 18)) (+ (pow (/ (pow y 12) (+ (* (pow (* y x) 4) 9) (+ (* (pow x 8) 81) (pow y 8)))) 2) (* (/ (* (pow x 12) 729) (+ (* (pow (* y x) 4) 9) (+ (* (pow x 8) 81) (pow y 8)))) (/ (pow y 12) (+ (* (pow (* y x) 4) 9) (+ (* (pow x 8) 81) (pow y 8)))))) (pow (/ (* (pow x 12) 729) (+ (* (pow (* y x) 4) 9) (+ (* (pow x 8) 81) (pow y 8)))) 2) (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y)) (* x x) (* y y) (+ (* (* y y) (* y y)) (+ (* -9 (pow x 4)) (* (* y y) 2))) (* (* y y) 2) (pow x 4) (- (pow (/ (* (pow x 12) 729) (+ (* (pow (* y x) 4) 9) (+ (* (pow x 8) 81) (pow y 8)))) 3) (pow (/ (pow y 12) (+ (* (pow (* y x) 4) 9) (+ (* (pow x 8) 81) (pow y 8)))) 3)) (* (pow (* y x) 12) -729) (pow (/ (* (pow x 12) 729) (+ (* (pow (* y x) 4) 9) (+ (* (pow x 8) 81) (pow y 8)))) 3) (pow (exp 2) (+ (* (log x) 12) (log (/ 729 (+ (* (pow (* y x) 4) 9) (+ (* 81 (pow x 8)) (pow y 8))))))))
59.0ms
eps
@inf
((- (pow (+ x eps) 5) (pow x 5)) (+ (* 4 (pow eps 4)) (pow eps 4)) (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (pow eps 4) (- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (+ (* 4 (/ x eps)) (/ x eps)) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))) (- (/ 1 (/ 1 (pow (+ eps x) 5))) (pow x 5)) (/ 1 (/ 1 (pow (+ eps x) 5))) (/ 1 (pow (+ eps x) 5)) (pow (+ eps x) 5) (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x) (- (pow (+ x eps) 5) (pow x 5)) (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))) (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))))

preprocess4.1s (2%)

Memory
-190.0MiB live, 4 270.1MiB allocated; 908ms collecting garbage
Stop Event
24×saturated
18×node limit
Compiler

Compiled 40 599 to 7 402 computations (81.8% saved)

bsearch2.4s (1.2%)

Memory
85.2MiB live, 2 504.1MiB allocated; 310ms collecting garbage
Algorithm
161×binary-search
48×left-value
Stop Event
143×narrow-enough
18×predicate-same
Samples
911.0ms8 536×0valid
290.0ms1 085×1valid
164.0ms353×2valid
62.0ms762×0invalid
51.0ms143×0exit
7.0ms10×3valid
Compiler

Compiled 93 186 to 53 179 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 294.0ms (27.5% of total)
ival-div: 181.0ms (16.9% of total)
ival-add: 157.0ms (14.7% of total)
ival-pow: 146.0ms (13.6% of total)
ival-sub: 85.0ms (7.9% of total)
adjust: 74.0ms (6.9% of total)
ival-exp: 58.0ms (5.4% of total)
ival-neg: 38.0ms (3.6% of total)
ival-sqrt: 14.0ms (1.3% of total)
ival-true: 8.0ms (0.7% of total)
exact: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
const: 2.0ms (0.2% of total)

simplify2.2s (1.1%)

Memory
117.7MiB live, 3 332.0MiB allocated; 593ms collecting garbage
Stop Event
149×iter limit
saturated
Counts
9 341 → 9 225

start2.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Profiling

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