Herbie run

Date:Saturday, May 18th, 2024
Commit:c2f4097e on main
Hostname:nightly with Racket 8.11.1
Seed:2024139
Parameters:256 points for 4 iterations
Flags:
localize:costslocalize:errorsreduce: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: 8.4min)

sample2.4min (28.2%)

Results
1.0min434413×0valid
41.3s7762×5exit
13.3s28925×1valid
3.3s6861×2valid
851.0ms4960×0unsamplable
193.0ms434×3valid
72.0ms544×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.6min
ival-sin: 31.8s (32.6% of total)
ival-mult: 21.0s (21.5% of total)
ival-add: 7.6s (7.8% of total)
ival-div: 5.6s (5.8% of total)
...c/correct-round.rkt:121:19: 5.0s (5.1% of total)
backward-pass: 4.0s (4.1% of total)
ival-exp: 3.9s (4% of total)
ival-log: 3.3s (3.4% of total)
ival-sqrt: 2.6s (2.7% of total)
ival-sub: 2.6s (2.6% of total)
ival-pow: 1.5s (1.5% of total)
ival-cos: 1.4s (1.4% of total)
ival-asin: 1.3s (1.3% of total)
ival-atan2: 1.2s (1.2% of total)
ival->: 706.0ms (0.7% of total)
const: 693.0ms (0.7% of total)
ival->=: 642.0ms (0.7% of total)
ival-pi: 539.0ms (0.6% of total)
ival-asinh: 476.0ms (0.5% of total)
ival-neg: 472.0ms (0.5% of total)
ival-<=: 367.0ms (0.4% of total)
ival-acosh: 306.0ms (0.3% of total)
ival-fabs: 260.0ms (0.3% of total)
ival-atanh: 233.0ms (0.2% of total)
ival-and: 80.0ms (0.1% of total)
Bogosity

simplify1.5min (17.7%)

Algorithm
424×egg-herbie
Rules
141672×fma-define
99123×fma-neg
84096×distribute-lft-in
83151×associate-*r*
75619×distribute-rgt-in
Stop Event
148×saturated
265×node limit
11×unsound
Counts
97610 → 91090

soundness56.7s (11.3%)

Rules
55694×fma-define
51492×log1p-expm1-u
46778×fma-neg
40907×associate-*r*
37407×expm1-log1p-u
Stop Event
17×saturated
190×node limit
33×fuel
11×unsound
24×done
Compiler

Compiled 45016 to 12991 computations (71.1% saved)

rewrite45.6s (9.1%)

Algorithm
182×batch-egg-rewrite
Rules
116228×log1p-expm1-u
84834×expm1-log1p-u
40331×pow1
38598×add-exp-log
37149×add-log-exp
Stop Event
174×node limit
8×unsound
Counts
2148 → 60083

localize39.9s (7.9%)

Results
13.5s36274×0valid
5.7s4295×1valid
2.8s4612×0invalid
2.6s562×5exit
2.2s1088×2valid
384.0ms320×0unsamplable
310.0ms169×1invalid
59.0ms34×3valid
12.0ms6×1unsamplable
Compiler

Compiled 43585 to 5056 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.2s
ival-mult: 3.1s (19% of total)
ival-pow: 2.2s (13.7% of total)
ival-div: 1.5s (9% of total)
ival-log: 1.3s (7.8% of total)
ival-add: 1.2s (7.7% of total)
backward-pass: 1.2s (7.7% of total)
...c/correct-round.rkt:121:19: 1.1s (7% of total)
ival-sub: 651.0ms (4% of total)
ival-sqrt: 486.0ms (3% of total)
ival-fma: 464.0ms (2.9% of total)
ival-exp: 427.0ms (2.6% of total)
ival-sin: 418.0ms (2.6% of total)
ival-cos: 342.0ms (2.1% of total)
ival-asin: 341.0ms (2.1% of total)
ival-atan2: 312.0ms (1.9% of total)
ival-hypot: 298.0ms (1.8% of total)
ival-neg: 159.0ms (1% of total)
const: 144.0ms (0.9% of total)
ival-acos: 117.0ms (0.7% of total)
ival-cbrt: 96.0ms (0.6% of total)
ival-log1p: 87.0ms (0.5% of total)
ival-expm1: 70.0ms (0.4% of total)
ival-copysign: 63.0ms (0.4% of total)
ival-fabs: 44.0ms (0.3% of total)
ival-pi: 38.0ms (0.2% of total)
ival-e: 2.0ms (0% of total)

prune30.9s (6.2%)

Counts
135326 → 3055
Compiler

Compiled 127228 to 68120 computations (46.5% saved)

eval28.7s (5.7%)

Compiler

Compiled 3980736 to 540400 computations (86.4% saved)

series18.7s (3.7%)

Counts
2148 → 37527
Calls

9783 calls:

TimeVariablePointExpression
424.0ms
x
@0
(log (+ x x))
398.0ms
base
@-inf
(* (atan2 im re) (/ 1 (log base)))
264.0ms
im
@-inf
(/ (* 2 (log (sqrt im))) (log base))
254.0ms
i
@0
(/ (+ alpha beta) i)
252.0ms
im
@-inf
(log (/ (atan2 im re) (log base)))

preprocess13.3s (2.6%)

Algorithm
57×egg-herbie
Rules
20546×fma-neg
20224×fma-define
10466×unsub-neg
9196×sub-neg
8861×distribute-lft-in
Stop Event
32×saturated
25×node limit
Compiler

Compiled 28452 to 10786 computations (62.1% saved)

regimes12.9s (2.6%)

Counts
8753 → 798
Calls

132 calls:

1.1s
im
1.1s
y.re
951.0ms
re
749.0ms
x
692.0ms
y.im
Compiler

Compiled 6468 to 4015 computations (37.9% saved)

explain10.9s (2.2%)

Results
3.9s25658×0valid
2.0s2924×1valid
521.0ms572×2valid
13.0ms26×3valid
3.0ms4×5exit
Compiler

Compiled 13779 to 2169 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-mult: 1.0s (30.4% of total)
ival-add: 564.0ms (16.4% of total)
...c/correct-round.rkt:121:19: 285.0ms (8.3% of total)
ival-log: 251.0ms (7.3% of total)
backward-pass: 223.0ms (6.5% of total)
ival-div: 219.0ms (6.4% of total)
ival-sub: 163.0ms (4.7% of total)
ival-exp: 129.0ms (3.8% of total)
ival-sqrt: 121.0ms (3.5% of total)
ival-atan2: 86.0ms (2.5% of total)
ival-sin: 69.0ms (2% of total)
ival-asin: 61.0ms (1.8% of total)
ival-cos: 56.0ms (1.6% of total)
const: 49.0ms (1.4% of total)
ival-pow: 39.0ms (1.1% of total)
ival-fabs: 22.0ms (0.6% of total)
ival-pi: 18.0ms (0.5% of total)
ival-neg: 14.0ms (0.4% of total)
ival-copysign: 14.0ms (0.4% of total)
ival-log1p: 9.0ms (0.3% of total)

bsearch10.2s (2%)

Algorithm
333×binary-search
50×left-value
Stop Event
10×predicate-same
323×narrow-enough
Results
5.6s35391×0valid
1.3s2563×1valid
153.0ms462×2valid
5.0ms16×3valid
Compiler

Compiled 71045 to 48171 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.3s
ival-mult: 1.9s (36.2% of total)
ival-add: 1.1s (21.8% of total)
ival-cos: 524.0ms (10% of total)
ival-exp: 348.0ms (6.6% of total)
ival-sin: 274.0ms (5.2% of total)
ival-log: 270.0ms (5.1% of total)
ival-div: 198.0ms (3.8% of total)
ival-sub: 166.0ms (3.2% of total)
ival-sqrt: 129.0ms (2.5% of total)
backward-pass: 77.0ms (1.5% of total)
ival-atan2: 75.0ms (1.4% of total)
...c/correct-round.rkt:121:19: 64.0ms (1.2% of total)
const: 45.0ms (0.9% of total)
ival-copysign: 13.0ms (0.2% of total)
ival-fabs: 11.0ms (0.2% of total)
ival-neg: 10.0ms (0.2% of total)
ival-pi: 1.0ms (0% of total)

analyze4.0s (0.8%)

Algorithm
58×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%86.3%13.7%0%0%0%0
53.4%46.1%40.2%13.7%0%0%0%1
62.8%53.1%31.4%13.7%0%1.7%0%2
71.2%58.4%23.6%13.7%0%4.3%0%3
77.4%62%18.1%13.7%0%6.2%0%4
83.5%66.8%13.2%13.7%0%6.3%0%5
85.8%68.3%11.3%13.7%0%6.6%0%6
88.3%70.3%9.4%13.7%0%6.6%0%7
89.9%71.5%8%13.7%0%6.8%0%8
91.1%72.5%7.1%13.7%0%6.8%0%9
92.6%73.6%5.9%13.7%0%6.8%0%10
94%74.7%4.8%13.7%0%6.8%0%11
94.5%75.1%4.4%13.7%0%6.9%0%12
Compiler

Compiled 1558 to 790 computations (49.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-mult: 838.0ms (31% of total)
...c/correct-round.rkt:121:19: 538.0ms (19.9% of total)
ival-add: 389.0ms (14.4% of total)
ival-atan2: 165.0ms (6.1% of total)
ival-sqrt: 143.0ms (5.3% of total)
ival-div: 140.0ms (5.2% of total)
ival-log: 137.0ms (5.1% of total)
ival-pow: 99.0ms (3.7% of total)
ival-sub: 78.0ms (2.9% of total)
ival-exp: 52.0ms (1.9% of total)
ival-<=: 29.0ms (1.1% of total)
ival-sin: 22.0ms (0.8% of total)
const: 21.0ms (0.8% of total)
ival-cos: 15.0ms (0.6% of total)
ival->: 12.0ms (0.4% of total)
ival-pi: 8.0ms (0.3% of total)
ival-neg: 7.0ms (0.3% of total)
backward-pass: 4.0ms (0.1% of total)
ival-and: 2.0ms (0.1% of total)
ival-asin: 1.0ms (0% of total)
ival-atanh: 1.0ms (0% of total)
ival-asinh: 0.0ms (0% of total)
ival->=: 0.0ms (0% of total)
ival-fabs: 0.0ms (0% of total)
ival-acosh: 0.0ms (0% of total)

end0.0ms (0%)

Profiling

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