Herbie run

Date:Monday, March 11th, 2024
Commit:fe07cd4d on zane-regimes-fl
Hostname:nightly with Racket 8.11.1
Seed:2024071
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default

Time bar (total: 11.0min)

localize3.6min (32.4%)

Compiler

Compiled 96308 to 27022 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.1min
Operation ival-tan, time spent: 30.8s, 24.0% of total-time
Operation ival-mult, time spent: 20.1s, 16.0% of total-time
Operation ival-sin, time spent: 16.1s, 13.0% of total-time
Operation ival-atan, time spent: 13.5s, 11.0% of total-time
Operation ival-pow, time spent: 12.1s, 10.0% of total-time
Operation ival-div, time spent: 7.8s, 6.0% of total-time
Operation ival-add, time spent: 5.4s, 4.0% of total-time
Operation composed, time spent: 5.0s, 4.0% of total-time
Operation ival-sub, time spent: 3.1s, 2.0% of total-time
Operation ival-log, time spent: 2.8s, 2.0% of total-time
Operation ival-sqrt, time spent: 2.3s, 2.0% of total-time
Operation ival-exp, time spent: 2.3s, 2.0% of total-time
Operation const, time spent: 1.6s, 1.0% of total-time
Operation ival-cos, time spent: 1.2s, 1.0% of total-time
Operation ival-fmax, time spent: 787.0ms, 1.0% of total-time
Operation ival-neg, time spent: 367.0ms, 0.0% of total-time
Operation ival-log2, time spent: 339.0ms, 0.0% of total-time
Operation ival-cbrt, time spent: 258.0ms, 0.0% of total-time
Operation ival-sinh, time spent: 202.0ms, 0.0% of total-time
Operation ival-if, time spent: 197.0ms, 0.0% of total-time
Operation ival-pi, time spent: 164.0ms, 0.0% of total-time
Operation ival-fabs, time spent: 153.0ms, 0.0% of total-time
Operation ival->=, time spent: 107.0ms, 0.0% of total-time
Operation ival-floor, time spent: 97.0ms, 0.0% of total-time
Operation ival->, time spent: 91.0ms, 0.0% of total-time
Operation ival-asin, time spent: 71.0ms, 0.0% of total-time
Operation ival-acos, time spent: 35.0ms, 0.0% of total-time
Operation ival-<, time spent: 32.0ms, 0.0% of total-time
Operation ival-e, time spent: 18.0ms, 0.0% of total-time

sample2.0min (18.4%)

Results
1.7min247680×256valid
2.0s8300×256invalid
989.0ms2073×256precondition
Precisions
Click to see histograms. Total time spent on operations: 55.4s
Operation ival-mult, time spent: 13.4s, 24.0% of total-time
Operation ival-<=, time spent: 10.1s, 18.0% of total-time
Operation ival-div, time spent: 5.0s, 9.0% of total-time
Operation ival-sin, time spent: 2.7s, 5.0% of total-time
Operation ival-sub, time spent: 2.7s, 5.0% of total-time
Operation ival-add, time spent: 2.5s, 5.0% of total-time
Operation ival-log, time spent: 2.0s, 4.0% of total-time
Operation ival-and, time spent: 1.8s, 3.0% of total-time
Operation ival-sqrt, time spent: 1.8s, 3.0% of total-time
Operation ival-fabs, time spent: 1.8s, 3.0% of total-time
Operation ival-tan, time spent: 1.6s, 3.0% of total-time
Operation ival-cos, time spent: 1.5s, 3.0% of total-time
Operation const, time spent: 1.5s, 3.0% of total-time
Operation ival-atan, time spent: 964.0ms, 2.0% of total-time
Operation ival-exp, time spent: 892.0ms, 2.0% of total-time
Operation ival-floor, time spent: 776.0ms, 1.0% of total-time
Operation ival-fmax, time spent: 717.0ms, 1.0% of total-time
Operation ival-==, time spent: 643.0ms, 1.0% of total-time
Operation ival-neg, time spent: 607.0ms, 1.0% of total-time
Operation ival-pi, time spent: 582.0ms, 1.0% of total-time
Operation ival-<, time spent: 407.0ms, 1.0% of total-time
Operation ival-if, time spent: 393.0ms, 1.0% of total-time
Operation ival-log2, time spent: 353.0ms, 1.0% of total-time
Operation ival->, time spent: 296.0ms, 1.0% of total-time
Operation ival-asin, time spent: 234.0ms, 0.0% of total-time
Operation ival-sinh, time spent: 113.0ms, 0.0% of total-time
Operation ival->=, time spent: 89.0ms, 0.0% of total-time
Bogosity

eval1.2min (10.7%)

Compiler

Compiled 6174044 to 1963467 computations (68.2% saved)

simplify55.6s (8.5%)

Algorithm
146×egg-herbie
Rules
47618×fma-define
35001×*-commutative
33558×distribute-lft-in
33066×times-frac
31629×associate-*r*
Stop Event
30×saturated
116×node limit
28×fuel
2×done
Counts
65816 → 51740
Compiler

Compiled 8157 to 4855 computations (40.5% saved)

analyze42.3s (6.4%)

Algorithm
30×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%2.6%97.4%0%0%0%0
0.2%0%2.6%97.4%0%0%0%1
9.3%0.2%2.4%97.4%0%0%0%2
43.2%1.1%1.5%97.4%0%0%0%3
48.1%1.3%1.4%97.4%0%0%0%4
65.1%1.7%0.9%97.4%0%0%0%5
70.3%1.8%0.8%97.4%0%0%0%6
79.1%2%0.5%97.4%0%0%0%7
81.1%2.1%0.5%97.4%0%0.1%0%8
86.1%2.2%0.4%97.4%0%0.1%0%9
87.6%2.2%0.3%97.4%0%0.1%0%10
91.9%2.3%0.2%97.4%0%0.1%0%11
92.6%2.3%0.2%97.4%0%0.1%0%12
Compiler

Compiled 2668 to 1270 computations (52.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.4s
Operation ival-mult, time spent: 3.5s, 24.0% of total-time
Operation ival-<=, time spent: 2.4s, 17.0% of total-time
Operation ival-fabs, time spent: 2.0s, 14.0% of total-time
Operation ival-div, time spent: 1.0s, 7.0% of total-time
Operation ival-floor, time spent: 736.0ms, 5.0% of total-time
Operation ival-if, time spent: 570.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 534.0ms, 4.0% of total-time
Operation ival-and, time spent: 520.0ms, 4.0% of total-time
Operation ival-add, time spent: 459.0ms, 3.0% of total-time
Operation ival-sub, time spent: 399.0ms, 3.0% of total-time
Operation const, time spent: 343.0ms, 2.0% of total-time
Operation ival-fmax, time spent: 336.0ms, 2.0% of total-time
Operation ival->, time spent: 267.0ms, 2.0% of total-time
Operation ival-log2, time spent: 224.0ms, 2.0% of total-time
Operation ival-==, time spent: 176.0ms, 1.0% of total-time
Operation ival-tan, time spent: 173.0ms, 1.0% of total-time
Operation ival-sin, time spent: 171.0ms, 1.0% of total-time
Operation ival-cos, time spent: 152.0ms, 1.0% of total-time
Operation ival-<, time spent: 133.0ms, 1.0% of total-time
Operation ival-pi, time spent: 76.0ms, 1.0% of total-time
Operation ival-log, time spent: 74.0ms, 1.0% of total-time
Operation ival-atan, time spent: 58.0ms, 0.0% of total-time
Operation ival-neg, time spent: 35.0ms, 0.0% of total-time
Operation ival-exp, time spent: 27.0ms, 0.0% of total-time
Operation ival-asin, time spent: 24.0ms, 0.0% of total-time
Operation ival->=, time spent: 0.0ms, 0.0% of total-time
Operation ival-sinh, time spent: 0.0ms, 0.0% of total-time

soundness42.1s (6.4%)

Rules
48383×fma-define
31431×times-frac
31184×associate-*r*
29670×log1p-expm1-u
26727×distribute-lft-in
Stop Event
8×saturated
147×node limit
Compiler

Compiled 33618 to 16706 computations (50.3% saved)

preprocess30.2s (4.6%)

Algorithm
30×egg-herbie
Rules
15315×fma-define
10891×fma-neg
7946×unsub-neg
7353×distribute-lft-neg-in
5929×distribute-rgt-neg-in
Stop Event
11×saturated
19×node limit
Compiler

Compiled 56380 to 25524 computations (54.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.2s
Operation ival-mult, time spent: 2.5s, 30.0% of total-time
Operation ival-tan, time spent: 1.2s, 14.0% of total-time
Operation ival-div, time spent: 796.0ms, 10.0% of total-time
Operation ival-sin, time spent: 593.0ms, 7.0% of total-time
Operation ival-sub, time spent: 528.0ms, 6.0% of total-time
Operation ival-add, time spent: 522.0ms, 6.0% of total-time
Operation ival-atan, time spent: 478.0ms, 6.0% of total-time
Operation ival-cos, time spent: 467.0ms, 6.0% of total-time
Operation ival-log, time spent: 301.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 199.0ms, 2.0% of total-time
Operation ival-fmax, time spent: 175.0ms, 2.0% of total-time
Operation const, time spent: 160.0ms, 2.0% of total-time
Operation ival-exp, time spent: 129.0ms, 2.0% of total-time
Operation ival-neg, time spent: 50.0ms, 1.0% of total-time
Operation ival-pi, time spent: 42.0ms, 1.0% of total-time
Operation ival-floor, time spent: 38.0ms, 0.0% of total-time
Operation ival-sinh, time spent: 22.0ms, 0.0% of total-time
Operation ival-if, time spent: 20.0ms, 0.0% of total-time
Operation ival-log2, time spent: 20.0ms, 0.0% of total-time
Operation ival-fabs, time spent: 10.0ms, 0.0% of total-time
Operation ival-asin, time spent: 10.0ms, 0.0% of total-time
Operation ival->=, time spent: 6.0ms, 0.0% of total-time
Operation ival->, time spent: 6.0ms, 0.0% of total-time
Operation ival-<, time spent: 4.0ms, 0.0% of total-time

prune27.1s (4.1%)

Counts
94772 → 3581
Compiler

Compiled 242464 to 134458 computations (44.5% saved)

rewrite24.7s (3.8%)

Algorithm
116×batch-egg-rewrite
Rules
63137×log1p-expm1-u
47543×expm1-log1p-u
32337×add-exp-log
31725×pow1
31455×add-log-exp
Stop Event
116×node limit
Counts
1316 → 32326

series16.0s (2.4%)

Counts
1316 → 33490
Calls

7776 calls:

TimeVariablePointExpression
404.0ms
w
@inf
(log (fmax (pow (* dX.u (floor w)) 2) (pow (sqrt (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) 2)))
367.0ms
dY.u
@inf
(pow (fmax (pow (sqrt (+ (* (* (floor w) dX.u) (* (floor w) dX.u)) (* (* (floor h) dX.v) (* (floor h) dX.v)))) 2) (pow (sqrt (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) 2)) 1/4)
248.0ms
cosTheta
@0
(* (* (cbrt (/ 1 (PI))) (cbrt (pow (PI) -1/2))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))
235.0ms
dX.u
@inf
(pow (fmax (pow (sqrt (+ (* (* (floor h) dX.v) (* (floor h) dX.v)) (* (* (floor w) dX.u) (* (floor w) dX.u)))) 2) (pow (sqrt (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) 2)) 1/4)
210.0ms
d
@-inf
(log (fmax (pow (* dX.u (floor w)) 2) (pow (sqrt (+ (* (* (floor d) dY.w) (* (floor d) dY.w)) (* (sqrt (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v)))) (sqrt (+ (* (* (floor w) dY.u) (* (floor w) dY.u)) (* (* (floor h) dY.v) (* (floor h) dY.v))))))) 2)))

regimes14.8s (2.3%)

Counts
6779 → 318
Calls

145 calls:

532.0ms
s
445.0ms
cosTheta_i
402.0ms
u2
373.0ms
(*.f32 uy #s(literal 2 binary32))
370.0ms
x
Compiler

Compiled 11708 to 7999 computations (31.7% saved)

bsearch30.0ms (0%)

Algorithm
23×left-value
38×binary-search
Stop Event
38×narrow-enough
Compiler

Compiled 2737 to 1634 computations (40.3% saved)

end9.0ms (0%)

Profiling

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